Colloquium: Majorana Fermions in nuclear, particle and solid-state physics

Abstract

Ettore Majorana (1906-1938) disappeared while traveling by ship from Palermo to Naples in 1938. His fate has never been fully resolved and several articles have been written that explore the mystery itself. His demise intrigues us still today because of his seminal work, published the previous year, that established symmetric solutions to the Dirac equation that describe a fermionic particle that is its own anti-particle. This work has long had a significant impact in neutrino physics, where this fundamental question regarding the particle remains unanswered. But the formalism he developed has found many uses as there are now a number of candidate spin-1/2 neutral particles that may be truly neutral with no quantum number to distinguish them from their anti-particles. If such particles exist, they will influence many areas of nuclear and particle physics. Most notably the process of neutrinoless double beta decay can only exist if neutrinos are massive Majorana particles. Hence, many efforts to search for this process are underway. Majorana's influence doesn't stop with particle physics, however, even though that was his original consideration. The equations he derived also arise in solid state physics where they describe electronic states in materials with superconducting order. Of special interest here is the class of solutions of the Majorana equation in one and two spatial dimensions at exactly zero energy. These Majorana zero modes are endowed with some remarkable physical properties that may lead to advances in quantum computing and, in fact, there is evidence that they have been experimentally observed. This review first summarizes the basics of Majorana's theory and its implications. It then provides an overview of the rich experimental programs trying to find a fermion that is its own anti-particle in nuclear, particle, and solid state physics.

arXiv commentInvited review for Reviews of Modern Physics; v2: shortened and reorganized version to appear in RMP, 28 pages 12 figures. This version emphasizes the distinction between the generic Majorana fermions in particle physics and Majorana zero modes discussed in condensed matter physics

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• Unexplained Excess of Electron-Like Events From a 1-GeV Neutrino Beam
• The Igex 76ge Neutrinoless Double-Beta Decay Experiment: Prospects for Next Generation Experiments
• The Large Underground Xenon (LUX) Experiment
• Self-Organized Topological State with Majorana Fermions
• Chiral P-Wave Order in Sr_2RuO_4
• Topological Superconductor Bi2Te3/NbSe2 heterostructures
• Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
• Quantum point contact as a probe of a topological superconductor
• Double Beta Decay
• Results from a search for the $0\nu \beta \beta$-decay of ${}^{130}Te$
• Lepton Flavor and Number Conservation, and Physics Beyond the Standard Model
• Spectroscopy of Double-Beta and Inverse-Beta Decays from 100Mo for Neutrinos
• Precise half-life values for two neutrino double beta decay
• Proximity-induced high-temperature superconductivity in topological insulators Bi2Se3 and Bi2Te3
• Updated CMB constraints on Dark Matter annihilation cross-sections
• Fully gapped topological surface states in Bi${}_2$Se${}_3$ films induced by a d-wave high-temperature superconductor
• Dirac, Majorana and Weyl fermions
• Majorana fermions in superconducting helical magnets
• Observation of the superconducting proximity effect and possible evidence for Pearl vortices in a candidate topological insulator
• Interaction-induced criticality in Z_2 topological insulators
• Snowmass CF1 Summary: WIMP Dark Matter Direct Detection
• Symmetry Protected Josephson Supercurrents in Three-Dimensional Topological Insulators
• On the Quantitative Impact of the Schechter-Valle Theorem
• Potential of a next generation neutrinoless double beta decay experiment based on ZnMoO4 scintillating bolometers
• Wormhole Effect in a Strong Topological Insulator
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Quantizing Majorana Fermions in a Superconductor
• Characterization of ZnSe scintillating bolometers for Double Beta Decay
• Recent Progress in Double Beta Decay
• Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator
• Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled $s$-wave superconductors
• Vortex Lines in Topological Insulator-Superconductor Heterostructures
• Searches for Rare or Forbidden Semileptonic Charm Decays
• Status and prospects of searches for neutrinoless double beta decay
• Searches for Majorana neutrinos in B- decays
• Search for Neutrinoless Double-Beta Decay of ${}^{100}$Mo with the NEMO-3 Detector
• Multiple-Isotope Comparison for Determining Neutrinoless Double-Beta Decay Mechanisms
• Search for Lepton-Flavor-Violating and Lepton-Number-Violating tau to lhh' Decay Modes
• Double beta decay experiments
• Annihilation of colliding Bogoliubov quasiparticles reveals their Majorana nature
• An introduction to leptogenesis and neutrino properties
• Inclusive Search for New Physics with Like-Sign Dilepton Events in ppbar Collisions at sqrt{s} = 1.96 TeV
• SuperNEMO double beta decay experiment
• The NEXT-100 experiment for neutrinoless double beta decay searches (Conceptual Design Report)
• Search for lepton-number violating processes in B+ -> h- l+ l+ decays
• Empirical Survey of Neutrinoless Double Beta Decay Matrix Elements
• Search for Lepton-Flavor-Violating Decays of B Mesons
• Experimental study of double beta decay modes using a CdZnTe detector array
• Neutrinoless Double Beta Decay with SNO+
• Intrinsic Radioactivity in a GSO Crystal and Limits on Double Beta Decay of Gd-160
• Characterizing Quantum-Dot-Doped Liquid Scintillator for Applications to Neutrino Detectors
• Cosmic Frontier Indirect Dark Matter Detection Working Group Summary
• Average and recommended half-life values for two neutrino double beta decay: upgrade-2013
• Snowmass-2013 Cosmic Frontier 3 (CF3) Working Group Summary: Non-WIMP dark matter
• Measuring fermion parity correlations and relaxation rates in 1D topological superconducting wires
• Determining Majorana Nature of Neutrino from Nucleon Decays and n-nbar oscillations
• Dark Matter 2013
• On the possibility of the fractional ac Josephson effect in non-topological conventional superconductor-normal-superconductor junctions
• GraXe, graphene and xenon for neutrinoless double beta decay searches

Cited by in corpus (537)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Photonics
• Topological Photonics
• Classification of topological quantum matter with symmetries
• Colloquium: Topological Band Theory
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Topological classification of crystalline insulators through band structure combinatorics
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Quantum anomalous Hall effect and related topological electronic states
• Milestones toward Majorana-based quantum computing
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• Topological quantum matter with cold atoms
• Majorana corner modes in a high-temperature platform
• Topological phases with parafermions: theory and blueprints
• Random-matrix theory of Majorana fermions and topological superconductors
• Majorana bound states from exceptional points in non-topological superconductors
• Toward the discovery of matter creation with neutrinoless double-beta decay
• High-Temperature Majorana Corner States
• Artificial gauge fields in materials and engineered systems
• A Short Introduction to Topological Quantum Computation
• Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Majorana bound states in non-homogeneous semiconductor nanowires
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
• Signature of Dispersing 1D Majorana Channels in an Iron-based Superconductor
• Superconducting Topological Surface States in Non-centrosymmetric Bulk Superconductor PbTaSe2
• Search for Zero-Neutrino Double Beta Decay in 76Ge with the Majorana Demonstrator
• Atomic-Scale Interface Engineering of Majorana Edge Modes in a 2D Magnet-Superconductor Hybrid System
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Uncover Topology by Quantum Quench Dynamics
• High-temperature topological superconductivity in twisted double layer copper oxides
• Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Gate Controlled Anomalous Phase Shift in Al/InAs Josephson Junctions
• Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
• Dynamical classification of topological quantum phases
• Entanglement and dynamics of diffusion-annihilation processes with Majorana defects
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Effects of gate-induced electric fields on semiconductor Majorana nanowires
• Probing topological quantum matter with scanning tunnelling microscopy
• Search for non-Abelian Majorana braiding statistics in superconductors
• Noisy intermediate-scale quantum computers
• Evidence of topological Shiba bands in artificial spin chains on superconductors
• A Search for Neutrinoless Double-Beta Decay in ${}^{76}$Ge with 26 kg-yr of Exposure from the MAJORANA DEMONSTRATOR
• Second-order Topological Superconductors with Mixed Pairing
• Phase Diagram of the Interacting Majorana Chain Model
• Majorana nanowires for topological quantum computation
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure
• Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
• Tunable superconducting coupling of quantum dots via Andreev bound states in semiconductor-superconductor nanowires
• Low-energy theory of transport in Majorana wire junctions
• Chirality as Generalized Spin-Orbit Interaction in Spintronics
• Evidence for universal relations describing a gas with $p$-wave interactions
• Projective symmetry group classification of chiral spin liquids
• Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
• Refined symmetry indicators for topological superconductors in all space groups
• Experimental Observation of Topological Superconductivity and Majorana Zero Modes on beta-Bi2Pd Thin Films
• An experimentally accessible quality factor for Majorana wires
• Majorana-like zero modes in Kekulé distorted sonic lattices
• Topological and holonomic quantum computation based on second-order topological superconductors
• The translational side of topological band insulators
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• Topological order in the Kitaev/Majorana chain in the presence of disorder and interactions
• Strongly interacting Majorana fermions
• Majorana wavefunction oscillations, fermion parity switches, and disorder in Kitaev chains
• Generic quantized zero-bias conductance peaks in superconductor-semiconductor hybrid structures
• Braiding Majorana corner modes in a second-order topological superconductor
• FeTe${}_{1-x}$Se${}_x$ monolayer films: towards the realization of high-temperature connate topological superconductivity
• Composite Topological Excitations in Ferromagnet-Superconductor Heterostructures
• Majorana Edge Modes with Gain and Loss
• Theory of Majorana zero modes in unconventional superconductors
• Dirac, Rashba and Weyl type spin-orbit couplings: toward experimental realization in ultracold atoms
• Exact Solution to Interacting Kitaev Chain at Symmetric Point
• Superconducting proximity effect in epitaxial Al-InAs heterostructures
• Robust low-energy Andreev bound states in semiconductor-superconductor heterostructures: Importance of partial separation of component Majorana bound states
• Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states
• Characterization of topological states via dual multipartite entanglement
• Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
• Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase
• Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor
• All-electrically tunable networks of Majorana bound states
• Geometry controlled superconducting diode and anomalous Josephson effect triggered by the topological phase transition in curved proximitized nanowires
• Effects of large induced superconducting gap on semiconductor Majorana nanowires
• Topological phases, edge modes, and the Hofstadter butterfly in coupled Su-Schrieffer-Heeger systems
• How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Neutrinoless Double-Electron Capture
• Majorana Edge States in Superconductor/Noncollinear Magnet Interfaces
• Assembling Fibonacci Anyons From a ${\mathbb{Z}}_3$ Parafermion Lattice Model
• Conductance of a superconducting Coulomb blockaded Majorana nanowire
• Mechanical analogue of a Majorana bound state
• Universal Optical Control of Chiral Superconductors and Majorana Modes
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Finite-size effects in non-Hermitian topological systems
• Majorana Fermions in Magnetic Chains
• ${\mathbb{Z}}_2$-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups
• Fractional Josephson Effect with and without Majorana Zero Modes
• Robust Majorana conductance peaks for a superconducting lead
• Tunable magnetic textures in spin valves: From spintronics to Majorana bound states
• Anomalous Fraunhofer patterns in gated Josephson junctions based on the bulk-insulating topological insulator BiSbTeSe2
• Majorana bound states in semiconducting nanostructures
• Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe
• Symmorphic and nonsymmorphic symmetries jointly-protected hourglass phonons
• Topologically protected localised states in spin chains
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Braiding Majorana zero modes using quantum dots
• The Majorana spin in magnetic atomic chain systems
• Electronic structure of topological superconductors in the presence of a vortex lattice
• Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
• Conductance spectroscopy of topological superconductor wire junctions
• Vortex end Majorana zero modes in superconducting Dirac and Weyl semimetals
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Dynamical axion state with hidden pseudospin Chern numbers in MnBi${}_2$Te${}_4$-based heterostructures
• Observation of topological transition in high-T${}_c$ superconductor FeTe${}_{1-x}$Se${}_x$/SrTiO${}_3$(001) monolayers
• Detection of Majorana Kramers pairs using a quantum point contact
• Interacting Majorana Fermions
• Fusion protocol for Majorana modes in coupled quantum dots
• Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
• High-temperature Majorana zero modes
• Detection of second-order topological superconductors by Josephson junctions
• Diagnosing quantum chaos in many-body systems using entanglement as a resource
• Parity-to-charge conversion in Majorana qubit readout
• Bulk disorder in the superconductor affects proximity-induced topological superconductivity
• Exact zero modes in twisted Kitaev chains
• ${\mathbb{Z}}_2$ topological insulator analog for vortices in an interacting bosonic quantum fluid
• Spin-orbit coupling effects in zinc-blende InSb and wurtzite InAs nanowires: Realistic calculations with multiband $\vec{k}\cdot \vec{p}$ method
• Construction of Green's functions on a quantum computer: applications to molecular systems
• A generic theory for Majorana zero modes in 2D superconductors
• Majorana oscillations modulated by Fano interference and dregree of non-locality in a topological superconducting nanowire-quantum dot system
• Fermionized parafermions and symmetry-enriched Majorana modes
• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• Metamorphosis of Andreev bound states into Majorana bound states in pristine nanowires
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Linear and non-linear transport across a finite Kitaev chain: an exact analytical study
• Non-Abelian braiding of Majorana-like edge states and topological quantum computations in electric circuits
• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Time scales for Majorana manipulation using Coulomb blockade in gate-controlled superconducting nanowires
• Dynamic current susceptibility as a probe of Majorana bound states in nanowire-based Josephson junctions
• Photon assisted braiding of Majorana fermions in a cavity
• Enhancing the excitation gap of a quantum-dot-based Kitaev chain
• Tuning of heat and charge transport by Majorana fermions
• From Birefringent Electrons to a Marginal or Non-Fermi Liquid of Relativistic Spin-1/2 Fermions: An Emergent Superuniversality
• Exact solutions and topological phase diagram in interacting dimerized Kitaev topological superconductors
• Majorana Braiding in Realistic Nanowire Y-Junctions and Tuning Forks
• High-throughput Investigations of Topological and Nodal Superconductors
• In-gap features in superconducting LaAlO${}_3$-SrTiO${}_3$ interfaces observed by tunneling spectroscopy
• Chern insulators for electromagnetic waves in electrical circuit networks
• Multiple signatures of topological transitions for interacting fermions in chain lattices
• Electronic properties of InAs/EuS/Al hybrid nanowires
• Topological Quantum Computing Using Nanowire Devices
• Non-Abelian Majorana modes protected by an emergent second Chern number
• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• Mirage Andreev spectra generated by mesoscopic leads in nanowire quantum dots
• Rényi Entropy Singularities as Signatures of Topological Criticality in Coupled Photon-Fermion Systems
• Topological superconductivity and Majorana states in low-dimensional systems
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• Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
• Microwave photon-assisted phase-incoherent Cooper-pair tunneling in a Josephson STM
• Majorana bands, Berry curvature, and thermal Hall conductivity in the vortex state of a chiral p-wave superconductor
• Full proximity treatment of topological superconductors in Josephson-junction architectures
• Competing Vortex Topologies in Iron-based Superconductors
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Quantum dynamical characterization and simulation of topological phases with high-order band inversion surfaces
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Transport through a quantum dot coupled to two Majorana bound states
• Disorder robustness and protection of Majorana bound states in ferromagnetic chains on conventional superconductors
• Josephson current signatures of the Majorana flat bands on the surface of time-reversal-invariant Weyl and Dirac semimetals
• Majorana bound state localization and energy oscillations for magnetic impurity chains on conventional superconductors
• Initial Results from the MAJORANA DEMONSTRATOR
• Distinguishing between Topological and Quasi Majorana Zero Modes with a Dissipative Resonant Level
• Phonon magnetochiral effect of band-geometric origin in Weyl semimetals
• Rearrangement of valence neutrons in the neutrinoless double-$\beta$ decay of ${}^{136}$Xe
• Phenomenology of soft gap, zero bias peak, and zero mode splitting in ideal Majorana nanowires
• Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators
• Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
• Kondo physics from quasiparticle poisoning in Majorana devices
• Numerical calculation of the complex berry phase in non-Hermitian systems
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Weyl-Majorana solenoid
• Majorana quasiparticles of inhomogeneous Rashba chain
• Conductance spectroscopy of nontopological-topological superconductor junctions
• Vortex Majorana braiding in a finite time
• Experimental realization of spin-tensor momentum coupling in ultracold Fermi gases
• Optimal diabatic dynamics of Majorana-based quantum gates
• How to interpret a discovery or null result of the $0\nu 2\beta$ decay
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
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• Interaction induced hybridization of Majorana zero-modes in a coupled quantum-dot hybrid-nanowire system
• Tunable Splitting of the Ground-State Degeneracy in 1D Parafermionic Wires
• Majorana fermions at the edge of superconducting islands
• Dirac Nodal Lines and Nodal Loops in a Topological Kagome Superconductor CsV${}_3$Sb${}_5$
• Topological classification of Higher-order topological phases with nested band inversion surfaces
• Conductance feature smearing and anisotropic suppression of induced superconductivity in a Majorana nanowire
• Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice
• Nematic Superconductivity in Cu1.5(PbSe)5(Bi2Se3)6
• Phase-manipulation-induced Majorana Mode and Braiding Realization in Iron-based Superconductor Fe(Te,Se)
• $AbInitio$ Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
• Noise signatures for determining chiral Majorana fermion modes
• Searching for Two-Neutrino and Neutrinoless Double Beta Decay of ${}^{134}$Xe with the PandaX-4T Experiment
• Chiral Majorana fermion modes regulated by a scanning tunneling microscope tip
• Kitaev chain in an alternating quantum dot-Andreev bound state array
• Majorana-Hubbard model on the honeycomb lattice
• Encrypting Majorana Fermions-qubits as Bound States in the Continuum
• The effective neutrino mass of neutrinoless double-beta decays: how possible to fall into a well
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Progress in superconductor-semiconductor topological Josephson junctions
• Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
• Multiple Chiral Majorana Fermion Modes and Quantum Transport
• Chiral Majorana fermions in graphene from proximity-induced superconductivity
• Superconducting monolayer deposited on substrate: effects of the spin-orbit coupling induced by proximity effects
• Disorder-induced topological transitions in multichannel Majorana wires
• Majorana-Josephson Interferometer
• Magnetoelectrically-Tunable Andreev-Bound-State Spectra and Spin Polarization in P-Wave Josephson Junctions
• Emergent vortex Majorana zero mode in iron-based superconductors
• Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator-topological superconductor systems
• Fingerprints of Majorana fermions in current-correlations measurements from a superconducting tunnel microscope
• Unconventional Yu-Shiba-Rusinov states in hydrogenated graphene
• Majorana fermion from Landau quantization in 2D topological superconductors
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Experimental evidence of anomalously large superconducting gap on topological surface state of $\beta$-$\mathbf{B}{\mathbf{i}}_2\mathbf{Pd}$ film
• Charge and spin response functions on a quantum computer: applications to molecules
• From perfect to imperfect poor man's Majoranas in minimal Kitaev chains
• Transport in superconductor--normal metal--superconductor tunneling structures: Spinful p-wave and spin-orbit-coupled topological wires
• Optical Manipulation of Domains in Chiral Topological Superconductors
• Chiral Majorana Hinge Modes in Superconducting Dirac Materials
• Topological phases and Anderson localization in off-diagonal mosaic lattices
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Dynamics of hybrid junctions of Majorana wires
• Novel non-local effects in three-terminal hybrid devices with quantum dot
• Relativistic first principles theory of Yu--Shiba--Rusinov states applied to an Mn adatom and Mn dimers on Nb(110)
• Impurity-induced states in superconducting heterostructures
• Topological Superfluid and Majorana Zero Modes in Synthetic Dimension
• Majorana dc Josephson current mediated by a quantum dot
• Coexistence of ferromagnetism and superconductivity at KTaO${}_3$ heterointerfaces
• Decay of bound states in the continuum of Majorana fermions induced by vacuum fluctuations: Proposal of qubit technology
• Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
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• On the Role of Self-Adjointness in the Continuum Formulation of Topological Quantum Phases
• Majorana molecules and their spectral fingerprints
• Quasiparticle gaps in multiprobe Majorana nanowires
• Majorana quasiparticles in atomic spin chains on superconductors
• Majorana bound states in germanium Josephson junctions via phase control
• Renormalization group analysis of phase transitions in the two dimensional Majorana-Hubbard model
• Multiple topological transitions driven by the interplay of normal scattering and Andreev scattering
• Simulating Z_2 topological insulators via a one-dimensional cavity optomechanical cells array
• Effect of chiral symmetry on chaotic scattering from Majorana zero modes
• Interaction-enabled topological phases in topological insulator-superconductor heterostructures
• Dirac open quantum system dynamics: formulations and simulations
• Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
• Time-reversal symmetry breaking in frustrated superconductor Re${}_2$Hf
• Low-energy excitations and non-BCS superconductivity in Nb${}_x$-Bi${}_2$Se${}_3$
• Experimental review on Majorana zero-modes in hybrid nanowires
• ${\mathbb{Z}}_3$ parafermionic zero modes without Andreev backscattering from the $2/3$ fractional quantum Hall state
• Fano effect in Aharonov-Bohm ring with topologically superconducting bridge
• Tuning ferromagnetic BaFe${}_2$(PO${}_4$)${}_2$ through a high Chern number topological phase
• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Quantum spin Hall effect in rutile-based oxide multilayers
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Majorana states for subluminal structured photons
• Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover
• Quantum phase transitions of multi-species Dirac fermions
• Topological inverse Anderson insulator
• Optimal noise-canceling shortcuts to adiabaticity: application to noisy Majorana-based gates
• Charge and spin transport through normal lead coupled to $s$-wave superconductor and a Majorana zero mode
• Chiral symmetries and Majorana fermions in coupled magnetic atomic chains on a superconductor
• Tricritical Ising phase transition in two-ladder Majorana fermion lattice
• Kitaev chain with a quantum dot
• Effective theory of vortices in two-dimensional spinless chiral $p$-wave superfluids
• Majorana corner states on the dice lattice
• Exact zero modes in a quantum compass chain under inhomogeneous transverse fields
• Conductance asymmetries in mesoscopic superconducting devices due to finite bias
• Fate of poor man's Majoranas in the long Kitaev chain limit
• Chiral flat band superconductivity from symmetry-protected three-band crossings
• Finite frequency noise in a normal metal - topological superconductor junction
• Accessing the degree of Majorana nonlocality in a quantum dot-optical microcavity system
• Piezo-driven sample rotation system with ultra-low electron temperature
• Topological isoconductance signatures in Majorana nanowires
• Robust zero modes in non-Hermitian systems without global symmetries
• Experimental demonstration of position-controllable topological interface states in high-frequency topological integrated circuits
• High-temperature Majorana corner modes in a $d+i{d}^{\prime }$ superconductor heterostructure: Application to twisted bilayer cuprate superconductors
• Rabi and Ramsey oscillations of a Majorana qubit in a quantum dot-superconductor array
• Flux-tunable Kitaev chain in a quantum dot array
• Dislocation Majorana zero modes in perovskite oxide 2DEG
• Dynamically characterizing topological phases by high-order topological charges
• Magnetic Flux Control of Chiral Majorana Edge Modes in Topological Superconductor
• Relativistic suppression of Auger recombination in Weyl semimetals
• Spin-Pairing Correlations and Spin Polarization of Majorana Bound States in Two-Dimensional Topological Insulator Systems
• Topological Larkin-Ovchinnikov phase and Majorana zero mode chain in bilayer superconducting topological insulator films
• From semimetal to chiral Fulde-Ferrell superfluids
• Multicriticality, Metastability, and Roton Feature in Bose-Einstein Condensates with Three-Dimensional Spin-Orbit Coupling
• Chiral $p$-wave superconductivity in a twisted array of proximitized quantum wires
• Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
• Chiral-Flux-Phase-Based Topological Superconductivity in Kagome Systems with Mixed Edge Chiralities
• Light-induced switching between singlet and triplet superconducting states
• Exact solutions in two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking
• Unveiling Majorana Quasiparticles by a Quantum Phase Transition: Proposal of a Current Switch
• Entanglement in Algebraic Quantum Mechanics: Majorana fermion systems
• Spin phase regulated spin Josephson supercurrent in topological superconductor
• Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
• Proximity-induced superconducting gap in the intrinsic magnetic topological insulator MnBi2Te4
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Zero Bias Conductance Peak in Dirac Semimetal-Superconductor Devices
• Review: Observation of Majorana Bound States at a Free Surface of ${}^3$He-B
• Proposal for measuring the parity anomaly in a topological superconductor ring
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
• Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
• Phase diagram of superconductivity in the integer quantum Hall regime
• Phase space methods for Majorana fermions
• Majorana bound states in vortex lattices on iron-based superconductors
• Curvature of gap closing features and the extraction of Majorana nanowire parameters
• Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
• Effective model for Majorana modes in graphene
• Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
• Pseudo-Ising superconductivity induced by $p$-wave magnetism
• Reshaping the Jaynes-Cummings ladder with Majorana bound states
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Spin-orbital polarization of Majorana edge states in oxides nanowires
• Dual topological superconducting states in the layered titanium-based oxypnictide superconductor BaTi${}_2$Sb${}_2$O
• Robust Fabry-Perot interference in dual-gated Bi${}_2$Se${}_3$ devices
• Incarnation of Majorana Fermions in Kitaev Quantum Spin Lattice
• Majorana fermions in topological insulator nanowires: from single superconducting nanowires to Josephson junctions
• Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Phase diagrams of SO($N$) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions
• End-to-end correlations in the Kitaev chain
• From edge to bulk: Cavity induced displacement of topological non-local qubits
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Correct Brillouin zone and electronic structure of BiPd
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Supersymmetry in an interacting Majorana model on the kagome lattice
• Phase-Controllable Nonlocal Spin Polarization in Proximitized Nanowires
• On the Majorana condition for nonlinear Dirac systems
• Evidence of decoupling of surface and bulk states in Dirac semimetal $C{d}_{3}A{s}_2$
• Topological Superconductivity in Monolayer T${}_{\text{d}}$-MoTe${}_2$
• Majorana stripe order on the surface of a three-dimensional topological insulator
• Thermoelectric transport through a finite-$U$ quantum dot side-coupled to Majorana bound state
• Searching for Majorana quasiparticles at vortex cores in iron-based superconductors
• Symmetry-breaking signatures of multiple Majorana zero modes in one-dimensional spin-triplet superconductors
• Scaling up a sign-ordered Kitaev chain without magnetic flux control
• Spin-flavor oscillations of Dirac neutrinos in a plane electromagnetic wave
• `Holographic' treatment of surface disorder on a topological insulator
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Probing Majorana bound states through an inhomogeneous Andreev double dot interferometer
• Anomalous photon-assisted tunneling in periodically driven Majorana nanowires and BCS Charge Measurement
• Optimizing the topological properties of stacking semiconductor-ferromagnet-superconductor heterostructures
• Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
• Floquet engineering triplet superconductivity in superconductors with spin-orbit coupling or altermagnetism
• Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
• Electrostatic effects and topological superconductivity in semiconductor-superconductor-magnetic insulator hybrid wires
• Observation of the Critical State to Multiple-Type Dirac Semimetal Phases in KMgBi
• Generic theory of characterizing topological phases under quantum slow dynamics
• Majorana zero modes in a magnetic and superconducting hybrid vortex
• Vortex control in superconducting Corbino geometry networks
• Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors
• BCS pairing state of a Dilute Bose Gas with Spin-Orbit Coupling
• Low temperature and high magnetic field performance of a commercial piezo-actuator probed $via$ laser interferometry
• Direct demonstration of bulk-boundary correspondence in higher-order topological superconductors with chiral symmetry
• Practical new platform for interaction-enabled topological phases
• Rigidity of topological invariants to symmetry breakings
• Bose-Einstein condensates with Raman-induced spin-orbit coupling : An overview
• Inverse proximity effect in semiconductor Majorana nanowires
• Majorana Zero Modes in Cylindrical Semiconductor Quantum Wire
• Fermion-parity switches of the ground state of Majorana billiards
• Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion
• Controllable Majorana fermions on domain walls of a magnetic topological insulator
• Topological metals constructed by sliding quantum wire arrays
• Phonon-induced Majorana Qubit Relaxation in Tunnel-Coupled Two-Island Topological Superconductors
• Unusual Superconducting Proximity Effect in Magnetically Doped Topological Josephson Junctions
• Josephson current via an isolated Majorana zero mode
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Quantum computation in fermionic thermal field theories
• Directly Detecting the Edge Current in a $p_x+i{p}_y$ Topological Superfluid
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Nonlocality and dynamic response of Majorana states in fermionic superfluids
• Evidence the ferromagnetic order on CoSb layer of LaCoSb${}_2$
• Multicritical quantum sensors driven by symmetry-breaking
• Enhanced in-plane ferroelectricity, antiferroelectricity, and unconventional 2D emergent fermions in QL-XSbO${}_2$ (X= Li, Na)
• Quantum Phase Transitions in Proximitized Josephson Junctions
• All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
• Laser induced surface magnetization in Floquet-Weyl semimetals
• Critical Current Anomaly at the Topological Quantum Phase Transition in a Majorana Josephson Junction
• Systematic construction of topological-nontopological hybrid universal quantum gates based on many-body Majorana fermion interactions
• Spin selective coupling to Majorana zero modes in mixed singlet and triplet superconducting nanowire
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Majorana corner pairs in a two-dimensional $s$-wave cold atomic superfluid
• Impurity-induced subgap states in superconductors with inhomogeneous pairing
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• Effect of charge renormalization on electric and thermo-electric transport along the vortex lattice of a Weyl superconductor
• Interplay between exchange split Dirac and Rashba-type surface states in MnBi${}_2$Te${}_4$/BiTeI interface
• Critical Majorana fermion at a topological quantum Hall bilayer transition
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Chiral topological superconductivity in Josephson junction
• Fermi points and topological quantum phase transitions in a model of superconducting wires
• Quantum corrections to a spin-orbit coupled Bose-Einstein Condensate
• Mimicking black hole event horizons in atomic and solid-state systems
• Dirac Wire
• Pairing symmetry in monolayer of orthorhombic CoSb
• Three-dimensional time reversal invariant topological superconductivity in doped chiral topological semimetals
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• Collective P-Wave Orbital Dynamics of Ultracold Fermions
• Coexistence of topological and nontopological Fermi-superfluid phases
• Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Selective equal spin Andreev reflection at vortex core center in magnetic semiconductor-superconductor heterostructure
• Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study
• Maximal distant entanglement in Kitaev tube
• Majorana Modes of Giant Vortices
• Robust semi-Dirac points and unconventional topological phase transitions in doped superconducting Sr2IrO4 tunnel coupled to t2g electron systems
• Higher-order topological superconductors characterized by Fermi level crossings
• Majorana bound states in d-wave superconductor planar Josephson junction
• Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping
• Majorana modes in trapped-ion system and their Floquet engineering
• Weyl semimetallic state with antiferromagnetic order in Rashba-Hubbard model
• Topological states constructed by two different trivial quantum wires
• Resonant Scattering and Microscopic Model of Spinless Fermi Gases in One-dimensional Optical Lattices
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
• Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
• Effect of Interdots Electronic Repulsion in the Majorana Signature for a Double Dot Interferometer
• Magnetic impurities on superconducting Pb surfaces
• Dynamics of a Majorana trijunction in a microwave cavity
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• 4$\pi$ and 8$\pi$ dual Josephson effects induced by symmetry defects
• Spin-flavor oscillations of Dirac neutrinos in matter under the influence of a plane electromagnetic wave
• Black magic session of concordance: Regge mass spectrum from Casson's invariant
• Polynomial description of inhomogeneous topological superconducting wires
• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices
• Surface step states and Majorana end states in profiled topological insulator thin films
• Complete zero-energy flat bands of surface states in fully gapped chiral noncentrosymmetric superconductors
• Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• Three-flavor, Full Momentum Space Neutrino Spin Oscillations in Neutron Star Mergers
• Topological Anderson insulators by latent symmetry
• Geometric Phases in Kaon Decays and Baryogenesis
• Universal Current Correlations Induced by the Majorana and Fermionic Andreev Bound States
• Fermi Surface Volume of Interacting Systems
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
• Fractionalization of Majorana-Ising-type quasiparticles
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Development of High-Sensitivity Radon Emanation Measurement Systems with Surface Treatment Optimization
• Interplay between pairing and correlations in spin-polarized bound states
• Fano fingerprints of Majoranas in Kitaev dimers of superconducting adatoms
• Universal distributions from non-Hermitian Perturbation of Zero-Modes
• Engineering Majorana corner modes from two-dimensional hexagonal crystals
• Pathfinding Quantum Simulations of Neutrinoless Double-Beta Decay
• Universal quantum control over Majorana zero modes
• Majorana braiding simulations with projective measurements
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Floquet-Weyl semimetals generated by an optically resonant interband-transition
• Phase transitions in quantum dot-Majorana zero mode coupling systems
• Fusion Rules of Majorana-Kramer-Pairs in Time-Reversal-Invariant Topological Superconductors
• Circular dichroism of chiral Majoranas
• Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions
• Topological Aspects of Antiferromagnets
• A Nondiagonal Pair of Majorana Particles at $e^{+}{e}^{-}$ Colliders
• Triangular lattice Majorana-Hubbard model: Mean field theory and DMRG on a width-4 torus
• Robust topological state against magnetic impurities observed in superconductor PbTaSe2
• On wave equations for the Majorana particle in (3+1) and (1+1) dimensions
• Hall Effect for Dirac Electrons in Graphene Exposed to an Abrikosov Flux Lattice
• Effects of Majorana bound states on dissipation and charging in a quantum resistor-capacitor circuit
• Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
• Effective Potential for Emergent Majorana Fermions in Superconductor Systems
• Zero Modes of Fermions Trapped by Giant Vortices
• Properties and prevalence of false poor man's Majoranas in two- and three-site artificial Kitaev chains
• Fermi arc criterion for surface Majorana modes in superconducting time-reversal symmetric Weyl semimetals
• Vector currents of integer-spin Majorana particles
• Fermion parity gap and exponential ground state degeneracy of the one-dimensional Fermi gas with intrinsic attractive interaction
• Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model
• Andreev bound states at boundaries of polarized 2D Fermi superfluids with s-wave pairing and spin-orbit coupling
• Tunneling Magnetoresistance in Junctions Composed of Ferromagnets and Time-Reversal Invariant Topological Superconductors
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Revealing inverted chirality of hidden domain wall states in multiband systems without topological transition
• Charge transport properties of the Majorana zero mode induced noncollinear spin selective Andreev reflection
• The Majorana Demonstrator Status and Preliminary Results
• Non-Hermitian topological filters
• Majorana Zero Modes and Topological Nature in Bi2Ta3S6-family Superconductors
• Universal Broadening of Zero Modes: A General Framework and Identification
• Preserving Topology while Breaking Chirality: From Chiral Orthogonal to Anti-symmetric Hermitian Ensemble
• Manipulation of Majorana wave packets at surfaces of nodal noncentrosymmetric superconductors
• Edge optical effect as a probe of chiral topological superconductors
• Probing $p$-wave effects in spin-density separation of Bose mixtures with the dynamic structure factor
• Topological band insulators without translational symmetry
• Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO${}_2$)${}_2$ and Sr(ClO${}_2$)${}_2$
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Majorana bound states with chiral magnetic textures
• Scheme for braiding Majorana zero modes in vortices using an STT-matrix
• Majorana flat bands at structured surfaces of nodal noncentrosymmetric superconductors
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Interacting Majorana fermions in strained nodal superconductors
• Discrete global symmetries and dynamics of emergent fermions
• Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
• Revealing Superconducting Chiral Edge Modes via Resistance Distributions
• Spatial coupling of quantum-anomalous-Hall and chiral-Majorana modes
• Crystalline water intercalation into the Kitaev honeycomb cobaltate Na${}_2$Co${}_2$TeO${}_6$
• Electrostatic gating and the interference of chiral Majoranas in thin slabs of magnetic topological insulators
• Breakdown of the symmetry constraint in a Floquet topological insulator
• Long-range Cooper pair splitting by chiral Majorana edge states
• Chiral Majorana Fermions in two dimensional square lattice antiferromagnet with proximity-induced superconductivity
• Ballistic transport in 1D Rashba systems in the context of Majorana nanowires
• Optimal Majoranas in Mesoscopic Kitaev Chains
• Skyrmion-vortex hybrid and spin wave solutions in superconducting ferromagnets