Introduction to topological superconductivity and Majorana fermions

Abstract

This short review article provides a pedagogical introduction to the rapidly growing research field of Majorana fermions in topological superconductors. We first discuss in some details the simplest "toy model" in which Majoranas appear, namely a one-dimensional tight-binding representation of a p-wave superconductor, introduced more than ten years ago by Kitaev. We then give a general introduction to the remarkable properties of Majorana fermions in condensed matter systems, such as their intrinsically non-local nature and exotic exchange statistics, and explain why these quasiparticles are suspected to be especially well suited for low-decoherence quantum information processing. We also discuss the experimentally promising (and perhaps already successfully realized) possibility of creating topological superconductors using semiconductors with strong spin-orbit coupling, proximity-coupled to standard s-wave superconductors and exposed to a magnetic field. The goal is to provide an introduction to the subject for experimentalists or theorists who are new to the field, focusing on the aspects which are most important for understanding the basic physics. The text should be accessible for readers with a basic understanding of quantum mechanics and second quantization, and does not require knowledge of quantum field theory or topological states of matter.

21 pages, 5 figures

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Cited by in corpus (319)

• Majorana box qubits
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Roadmap to Majorana surface codes
• Majorana nanowires for topological quantum computation
• Tunable superconducting coupling of quantum dots via Andreev bound states in semiconductor-superconductor nanowires
• The quantum Ising chain for beginners
• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• A perspective on semiconductor-based superconducting qubits
• Theory of Majorana zero modes in unconventional superconductors
• Unpaired Floquet Majorana fermions without magnetic fields
• A comprehensive review on topological superconducting materials and interfaces
• Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
• Weak measurement protocols for Majorana bound state identification
• Spread Complexity and Topological Transitions in the Kitaev Chain
• Assembling Fibonacci Anyons From a ${\mathbb{Z}}_3$ Parafermion Lattice Model
• Enhancing the Josephson diode effect with Majorana bound states
• Majorana bound states in semiconducting nanostructures
• Emulating quantum teleportation of a Majorana zero mode qubit
• Systematic construction of square-root topological insulators and superconductors
• Quench dynamics and parity blocking in Majorana wires
• Entanglement in many-body eigenstates of quantum-chaotic quadratic Hamiltonians
• Probing Majorana localization in minimal Kitaev chains through a quantum dot
• Tuning Topological Superconductivity in Phase-Controlled Josephson Junctions with Rashba and Dresselhaus Spin-Orbit Coupling
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Majorana qubit rotations in microwave cavities
• Topological superconductivity in doped magnetic moiré semiconductors
• Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
• Fusion protocol for Majorana modes in coupled quantum dots
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• High-temperature Majorana zero modes
• Microwave-controlled coupling of Majorana bound states
• Parity-to-charge conversion in Majorana qubit readout
• Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
• Antiferromagnetic Topological Superconductor and Electrically Controllable Majorana Fermions
• Numerical study of PbTe-Pb hybrid nanowires for engineering Majorana zero modes
• Edge-Corner Correspondence: Boundary-Obstructed Topological Phases with Chiral Symmetry
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• Bethe ansatz solution of the topological Kondo model
• Dependence of superconductivity in CuxBi2Se3 on quenching conditions
• Linear and non-linear transport across a finite Kitaev chain: an exact analytical study
• Josephson effect in multiterminal topological junctions
• Minimal Kitaev-transmon qubit based on double quantum dots
• Minimal quantum dot based Kitaev chain with only local superconducting proximity effect
• Enhancing the excitation gap of a quantum-dot-based Kitaev chain
• Steering Majorana braiding via skyrmion-vortex pairs: a scalable platform
• Electronic properties of InAs/EuS/Al hybrid nanowires
• Anisotropic topological superconductivity in Josephson junctions
• Tunneling spectroscopy of Majorana-Kondo devices
• Non-Fermi liquid manifold in a Majorana device
• Robustness of Majorana bound states in the short junction limit
• ${\mathbb{Z}}_4$ Parafermions in an interacting quantum spin Hall Josephson junction coupled to an impurity spin
• X-shaped and Y-shaped Andreev resonance profiles in a superconducting quantum dot
• Thermopower of three-terminal topological superconducting systems
• Dispersive readout of Majorana qubits
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• Full proximity treatment of topological superconductors in Josephson-junction architectures
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Effects of tilting the magnetic field in 1D Majorana nanowires
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Dynamic Majorana resonances and universal symmetry of nonequilibrium thermoelectric quantum noise
• Majorana finite frequency nonequilibrium quantum noise
• Phenomenology of soft gap, zero bias peak, and zero mode splitting in ideal Majorana nanowires
• Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States
• Microwave readout of Majorana qubits
• Conductance spectroscopy of nontopological-topological superconductor junctions
• Majorana quasiparticles of inhomogeneous Rashba chain
• Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
• Unexpected superconductivity at nanoscale junctions made on the topological crystalline insulator Pb${}_{0.6}$Sn${}_{0.4}$Te
• Majorana entropy revival via tunneling phases
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Magnetic-Field-Induced Topological Reorganization of a P-wave Superconductor
• Majorana ensembles with fractional entropy and conductance in nanoscopic systems
• Fate of topological states in incommensurate generalized Aubry-André models
• High-fidelity two-qubit gates of hybrid superconducting-semiconducting singlet-triplet qubits
• Corner- and sublattice-sensitive Majorana zero modes on the kagome lattice
• Semiconductor-ferromagnet-superconductor planar heterostructures for 1D topological superconductivity
• Dependence of the electronic structure of the EuS/InAs interface on the bonding configuration
• Missing Shapiro steps and the $8\pi$-periodic Josephson effect in interacting helical electron systems
• Zeeman field induced topological phase transitions in triplet superconductors
• One-dimensional topological superconductivity based entirely on phase control
• Quantum Transport and Potential of Topological States for Thermoelectricity in Bi${}_2$Te${}_3$ Thin Films
• Detecting Majorana Zero Modes via Strong Field Dynamics
• $AbInitio$ Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
• Robustness of Topological Superconductivity in Proximity-Coupled Topological Insulator Nanoribbons
• Fusion rules in a Majorana single-charge transistor
• Majorana zero modes in Y-shape interacting Kitaev wires
• Kitaev chain in an alternating quantum dot-Andreev bound state array
• Progress in superconductor-semiconductor topological Josephson junctions
• Identifying trivial and Majorana zero-energy modes using the Majorana polarization
• Josephson Diode Effect in Topological Superconductor
• Generalized Eilenberger theory for Majorana zero-mode-carrying disordered $p$-wave superconductors
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Electron-phonon interaction and point contact enhanced superconductivity in trigonal PtBi2
• Majorana Entanglement Bridge
• Characterization of Shapiro steps in the presence of a 4π-periodic Josephson current
• Statistical properties of linear Majorana fermions
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Majorana bound states in germanium Josephson junctions via phase control
• Majorana differential shot noise and its universal thermoelectric crossover
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Majorana zero modes induced by superconducting phase bias
• Effect of chiral symmetry on chaotic scattering from Majorana zero modes
• Integrating micromagnets and hybrid nanowires for topological quantum computing
• Counterflowing edge current and its equilibration in quantum Hall devices with sharp edge potential: Roles of incompressible strips and contact configuration
• Majorana braiding gates for topological superconductors in a one dimensional geometry
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Probing Majorana-like states in quantum dots and quantum rings
• Experimental review on Majorana zero-modes in hybrid nanowires
• Time scales for charge-transfer based operations on Majorana systems
• Demonstrating Majorana non-Abelian properties using fast adiabatic charge-transfer
• $6\pi$ Josephson effect in Majorana box devices
• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
• Non-Hermitian second-order topological superconductors
• Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
• Multi-impurity chiral Kondo model: correlation functions and anyon fusion rules
• Quantum-dot-based Kitaev chains: Majorana quality measures and scaling with increasing chain length
• High-temperature Majorana corner modes in a $d+i{d}^{\prime }$ superconductor heterostructure: Application to twisted bilayer cuprate superconductors
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Hanbury Brown and Twiss noise correlations in a topological superconductor beam splitter
• Conductance asymmetries in mesoscopic superconducting devices due to finite bias
• Flux-tunable Kitaev chain in a quantum dot array
• Rabi and Ramsey oscillations of a Majorana qubit in a quantum dot-superconductor array
• Current rectification in junctions with spin-split superconductors
• Topological superconductivity in Fibonacci quasicrystals
• Quasiparticle trapping at vortices producing Josephson supercurrent enhancement
• Interplay between Majorana and Shiba states in a minimal Kitaev chain coupled to a superconductor
• Chiral $p$-wave superconductivity in a twisted array of proximitized quantum wires
• Chemical Principles of Intrinsic Topological Superconductors
• Engineering Yang-Lee anyons via Majorana bound states
• Direct probing of a large spin-orbit coupling in the FeSe superconducting monolayer on STO: Evidence for nontrivial topological states
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Tunnel spectroscopy of Majorana bound states in topological superconductor-quantum dot Josephson junctions
• Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
• Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Edge Modes in One Dimensional Topological Charge Conserving Spin-Triplet Superconductors: Exact Results from Bethe Ansatz
• Majorana bound states in vortex lattices on iron-based superconductors
• Majorana sweet spots in 3-site Kitaev chains
• Topological superconductivity mediated by magnons of helical magnetic states
• Phase diagram of superconductivity in the integer quantum Hall regime
• Greedy optimization of the geometry of Majorana Josephson junctions
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Bulk superconductivity and non-trivial band topology analysis of Pb2Pd
• Majorana-induced DC Shapiro steps in topological Josephson junctions
• Two-impurity helical Majorana problem
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
• Manipulating Magnetic Moments by Superconducting Currents
• Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
• Thermodynamics in topological Josephson junctions
• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
• Floquet topological phases with large winding number
• Topological phase transition in commensurate multi-frequency Floquet Su-Schrieffer-Heeger model
• Majorana fermion arcs and the local density of states of UTe${}_2$
• Majorana zero modes on a 1D chain for quantum computation
• Dual topological superconducting states in the layered titanium-based oxypnictide superconductor BaTi${}_2$Sb${}_2$O
• Spin-orbital polarization of Majorana edge states in oxides nanowires
• On real solutions of the Dirac equation for a one-dimensional Majorana particle
• High orbital-moment Cooper pairs by crystalline symmetry breaking
• Interference and parity blockade in transport through a Majorana box
• Dresselhaus spin-orbit coupling in [111]-oriented semiconductor nanowires
• Statistical Majorana Bound State Spectroscopy
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
• Quantum Criticality in Resonant Andreev Conduction
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Phonon-mediated intrinsic topological superconductivity in Fermi arcs
• Scaling up a sign-ordered Kitaev chain without magnetic flux control
• Optimizing the topological properties of stacking semiconductor-ferromagnet-superconductor heterostructures
• Universal finite size scaling around tricriticality between topologically ordered, SPT, and trivial phases
• Complete description of fault-tolerant quantum gate operations for topological Majorana qubit systems
• Vortex control in superconducting Corbino geometry networks
• Majorana zero-modes in a dissipative Rashba nanowire
• The quest and hope of Majorana zero modes in topological superconductor for fault-tolerant quantum computing: an introductory overview
• Electrostatic effects and topological superconductivity in semiconductor-superconductor-magnetic insulator hybrid wires
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Dephasing of Majorana qubits due to quasistatic disorder
• Controlling Majorana modes by $p$-wave pairing in two-dimensional $p+id$ topological superconductors
• Detailed magneto-heat capacity analysis of SnAs topological superconductor
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Superconductivity in quantum wires: A symmetry analysis
• Probing details of spin--orbit coupling through Pauli spin blockade
• Spin-orbit-assisted electron pairing in 1D waveguides
• Multicritical quantum sensors driven by symmetry-breaking
• Superconductor discovery in the emerging paradigm of Materials Informatics
• Identifying Majorana bound states at quantum spin Hall edges using a metallic probe
• Noncentrosymmetric superconductors in one dimension
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Error-correction properties of an interacting topological insulator
• Effects of Peierls phases in open linear chains
• Majorana Zero Modes in Cylindrical Semiconductor Quantum Wire
• Electromotive force in driven topological quantum circuits
• Tip-induced Superconductivity
• The quantum scale invariance in graphene-like quantum electrodynamics
• Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects
• Charging a Dimerized Quantum XY Chain
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Quantum phases of spin-1/2 extended XY model in transverse magnetic field
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Quantum parity conservation in planar quantum electrodynamics
• Coexistence of Chiral Majorana Edge States and Bogoliubov Fermi Surfaces in Two-Dimensional Nonsymmorphic Dirac Semimetal/Superconductor Heterostructures
• Disorder effects in planar semiconductor-superconductor structures: Majorana wires versus Josephson junctions
• Floquet-engineered diode performance in a Majorana-quantum dot Josephson junction
• On the Majorana representation of the optical Dirac equation
• Grain-boundary topological superconductor
• Edge supercurrent in Josephson junctions based on topological materials
• Tunable Majorana corner states driven by superconducting phase bias in a vertical Josephson junction
• Low-temperature thermal expansion of the topological material candidates $\beta$-PtBi${}_2$ and $\beta$-Bi${}_2$Pd
• Three-dimensional time reversal invariant topological superconductivity in doped chiral topological semimetals
• Three-component topological superfluid in one-dimensional Fermi gases with spin-orbit coupling
• Superconducting Proximity Effect in Two-Dimensional Hole Gases
• Andreev Reflection in the Quantum Hall Regime at an Al/InAs Junction on a Cleaved Edge
• 4$\pi$ and 8$\pi$ dual Josephson effects induced by symmetry defects
• Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• Realization of the Non-endpoint Majorana Bound States in an Extended Kitaev Chain
• Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
• Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping
• Bath-induced decoherence in finite-size Majorana wires at non-zero temperature
• Tomasch Oscillations as Above-Gap Signature of Topological Superconductivity
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Detrimental effects of disorder in two-dimensional time-reversal invariant topological superconductors
• Fractionalization of Majorana-Ising-type quasiparticles
• Theory of superconducting proximity effect in hole-based hybrid semiconductor-superconductor devices
• Edge Spin fractionalization in one-dimensional spin-$S$ quantum antiferromagnets
• One-dimensional ${\mathbb{Z}}_4$ topological superconductor
• Self-consistent quasi-particle $GW$ and hybrid functional calculations for Al/InAs/Al heterojunctions: band offset and spin-orbit coupling effects
• Kitaev ring threaded by a magnetic flux: Topological gap, Anderson localization of quasiparticles, and divergence of supercurrent derivative
• Phase-tunable multiple Andreev reflections in a quantum spin Hall strip
• Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
• Phase transformation-induced superconducting aluminium-silicon alloy rings
• Current Density of Majorana Bound States
• Probing Majorana Modes via Local Spin Dynamics
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Photoemission Spectroscopic Evidence of Multiple Dirac Cones in Superconducting BaSn${}_3$
• Ever-present Majorana bound state in a generic one-dimensional superconductor with odd number of Fermi surfaces
• Time-dependent driving and topological protection in the fractional Josephson effect
• Anomalous Andreev interferometer: Study of an anomalous Josephson junction coupled to a normal wire
• Effects of Majorana bound states on dissipation and charging in a quantum resistor-capacitor circuit
• Transport-based fusion that distinguishes between Majorana and Andreev bound states
• Majorana Bound States hallmark in a quantum topological interferometer ring
• Spontaneous Lattice Distortion in the Spin-Triplet Superconductor Cu${}_x$Bi${}_2$Se${}_3$
• Thermoelectric fluctuations of interfering Majorana bound states
• Hall Effect for Dirac Electrons in Graphene Exposed to an Abrikosov Flux Lattice
• Characterizing Klein-Fock-Gordon-Majorana particles in (1+1) dimensions
• Repulsive Casimir force from a Majorana zero-mode
• Electron Interference as a Probe of Majorana Zero Modes
• Characterizing local Majorana properties using Andreev states
• Majorana modes in helical altermagnet without net magnetism and spin-orbit coupling
• Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Multi-locational Majorana Zero Modes
• Cross correlation mediated by distant Majorana zero modes with no overlap
• Nontrivial topological states in BaSn5 superconductor probed by de Haas-van Alphen quantum oscillations
• Coalescence of Andreev bound states on the surface of a chiral topological semimetal
• Electron-photon coupling in Mesoscopic Quantum Electrodynamics
• Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model
• Edge currents in frustrated Josephson junction ladders
• Quantifying robustness and locality of Majorana bound states in interacting systems
• AI-enhanced tuning of quantum dot Hamiltonians toward Majorana modes
• Intrinsic emergence of Majorana modes in Luttinger j=3/2 systems
• Tunable Magnetic Order in Chiral Coupled Spin Chains
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Quantum Scars and Caustics in Majorana Billiards
• Electrical, thermal and thermoelectric transport in open long-range Kitaev chain
• Revisiting the Poor Man's Majoranas: The Spin-Exchange Induced Spillover Effect
• Promoted current-induced spin polarization in inversion symmetry broken topological insulator thin films
• Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Majorana edge and end states in planar Josephson junctions
• Tunable effective length of fractional Josephson junctions
• Noninteracting tight-binding models for Fock parafermions
• Majorana bound states with chiral magnetic textures
• The spectrum consistency of fractional quantum Hall effect model
• Creating and detecting poor man's Majorana bound states in interacting quantum dots
• Proximity-induced superconductivity generated by thin films: Effects of Fermi surface mismatch and disorder in the superconductor
• Anisotropic supercurrent suppression and revivals in a graphene-based Josephson junction under in-plane magnetic fields
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• Observation of the crossover from quantum fluxoid to half-quantum fluxoid in a chiral superconducting device
• Signatures of Topological Transitions in the Spin Susceptibility of Josephson Junctions
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• SnAs: a 4K weak type-II superconductor with non-trivial band topology
• Cross-correlation mediated by Majorana island with finite charging energy
• Topological superconductivity in helical crystals
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Transport in extended Kitaev chain with time reversal symmetry breaking and long-range interaction
• Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization
• Optimal Majoranas in Mesoscopic Kitaev Chains
• Theory of reentrant superconductivity in Corbino Josephson junctions
• Fermi surface topology and non-trivial Berry phase in the flat-band semimetal Pd${}_3$Pb
• Spectroscopic Visualization of Hard Quasi-1D Superconductivity Induced in Nanowires Deposited on a Quasi-2D Indium film
• Anomalous spin textures in a 2D topological superconductor induced by point impurities
• Mechanism for Nodal Topological Superconductivity on PtBi${}_2$ Surface
• Ferroelectricity in a magnon Bose-Einstein condensate: Nonreciprocal superfluidity, exceptional points, and Majorana bosons
• Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling
• Many-body wave function and edge magnetization of an open $p+is$ superconducting chain
• Time-reversal symmetric topological superconductivity in Machida-Shibata lattices
• One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
• Ballistic transport in 1D Rashba systems in the context of Majorana nanowires
• Field-free Superconducting Diode Effect and Topological Fulde-Ferrell Superconductivity in Altermagnetic Shiba Chains
• Light-element and purely charge-based topological materials