Majorana Fermions in Magnetic Chains
arXiv:1909.10778 · doi:10.1016/j.ppnp.2019.04.004
Abstract
Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless, composite quasiparticles, residing at the boundaries of so-called topological superconductors. Furthermore, in opposition to any particles in the standard model, Majorana fermions in solid-state systems obey non-Abelian exchange statistics that make them attractive candidates for decoherence-free implementations of quantum computers. In this review, we report on the recent advances to realize synthetic topological superconductors supporting Majorana fermions with an emphasis on chains of magnetic impurities on the surface of superconductors. After outlining the theoretical underpinning responsible for the formation of Majorana fermions, we report on the subsequent experimental efforts to build topological superconductors and the resulting evidence in favor of Majorana fermions, focusing on scanning tunneling microscopy and the hunt for zero-bias peaks in the measured current. We conclude by summarizing the open questions in the field and propose possible experimental measurements to answer them.
References in corpus (94)
- Fault-tolerant quantum computation by anyons
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- New directions in the pursuit of Majorana fermions in solid state systems
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Search for Majorana fermions in superconductors
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Fermionic quantum computation
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Majorana fermions in chains of magnetic atoms on a superconductor
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
- Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Quantized Majorana conductance
- Topological superconducting phase in helical Shiba chains
- Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Ballistic Majorana nanowire devices
- Flux-controlled quantum computation with Majorana fermions
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Self-Organized Topological State with Majorana Fermions
- Exciton fine structure and spin decoherence in monolayers of transition metal dichalcogenides
- Distinguishing a Majorana zero mode using spin resolved measurements
- Topological Superconductor Bi2Te3/NbSe2 heterostructures
- Simulation of topological field theories by quantum computers
- Spectral Properties of Quasiparticle Excitations Induced by Magnetic Moments in Superconductors
- Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
- High-resolution studies of the Majorana atomic chain platform
- Long range coherent magnetic bound states in superconductors
- Majorana bound states in non-homogeneous semiconductor nanowires
- Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Composite Majorana Fermion Wavefunctions in Nanowires
- Single magnetic adsorbates on s-wave superconductors
- Majorana fermions in superconducting nanowires without spin-orbit coupling
- Subtle leakage of a Majorana mode into a quantum dot
- Superconducting Topological Surface States in Non-centrosymmetric Bulk Superconductor PbTaSe2
- Information transfer by vector spin chirality in finite magnetic chains
- Transition from fractional to Majorana fermions in Rashba nanowires
- Topological Superconductivity induced by Ferromagnetic Metal Chains
- Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
- Tunneling processes into localized subgap states in superconductors
- Strong localization of Majorana end states in chains of magnetic adatoms
- Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
- Unconventional topological phase transitions in helical Shiba chains
- Protection of excited spin states by a superconducting energy gap
- Magnetic anisotropy in Shiba bound states across a quantum phase transition
- Towards realistic implementations of a Majorana surface code
- Orbital Picture of Yu-Shiba-Rusinov Multiplets
- Local Electronic Structure of a Single Magnetic Impurity in a Superconductor
- Roadmap to Majorana surface codes
- Quantum information transfer between topological and spin qubit systems
- Majorana fermions from Shiba states in an antiferromagnetic chain on top of a superconductor
- Decaying spectral oscillations in a Majorana wire with finite coherence length
- Nuclear magnetism and electron order in interacting one-dimensional conductors
- Universal Quantum Computation with Hybrid Spin-Majorana Qubits
- On controlling the bound states in quantum-dot hybrid-nanowire
- Experimental Observation of Topological Superconductivity and Majorana Zero Modes on beta-Bi2Pd Thin Films
- Local Electronic Structure of Defects in Superconductors
- Nuclear Magnetism and Electronic Order in 13C Nanotubes
- Quantizing Majorana Fermions in a Superconductor
- Majorana zero modes on a necklace
- Correlations between Majorana fermions through a superconductor
- Wireless Majorana Bound States: From Magnetic Tunability to Braiding
- Interplay of topological phases in magnetic adatom-chains on top of a Rashba superconducting surface
- Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor
- Enhanced anti-ferromagnetic exchange between magnetic impurities in a superconducting host
- Spin-dependent coupling between quantum dots and topological quantum wires
- Non-collinear spin states in bottom-up fabricated atomic chains
- Topological Phases of Inhomogeneous Superconductivity
- Annihilation of colliding Bogoliubov quasiparticles reveals their Majorana nature
- Robust Majorana conductance peaks for a superconducting lead
- Topological Phase Detection in Rashba Nanowires with a Quantum Dot
- The Majorana spin in magnetic atomic chain systems
- Spin-polarized edge currents and Majorana fermions in one- and two-dimensional topological superconductors
- Tomography of Majorana Fermions with STM Tips
- Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
- Antiferromagnetic nuclear spin helix and topological superconductivity in C nanotubes
- Impurity Induced Quantum Phase Transitions and Magnetic Order in Conventional Superconductors: Competition between Bound and Quasiparticle states
- Using hybrid topological-spin qubit systems for two-qubit-spin gates
- Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
- Topological superconductivity in ferromagnetic atom chains beyond the deep-impurity regime
Cited by in corpus (51)
- Andreev reflection at the altermagnet-superconductor interface
- Majorana nanowires for topological quantum computation
- Theory of Majorana zero modes in unconventional superconductors
- Quantum spins and hybridization in artificially-constructed chains of magnetic adatoms on a superconductor
- Harnessing the Quantum Behavior of Spins on Surfaces
- Majorana bound states in semiconducting nanostructures
- Helical Liquids in Semiconductors
- Topological superconductivity and Majorana states in low-dimensional systems
- Majorana Bound States Induced by Antiferromagnetic Skyrmion Textures
- Quantum magnetism and topological superconductivity in Yu-Shiba-Rusinov chains
- Topological Superconductivity Induced by Magnetic Texture Crystals
- Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators
- Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
- Quantum Yu-Shiba-Rusinov dimers
- Prevalence of trivial zero-energy sub-gap states in non-uniform helical spin chains on the surface of superconductors
- Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
- Majorana bound states in germanium Josephson junctions via phase control
- Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
- Influence of long-range interaction on Majorana zero modes
- Majorana zero modes and their bosonization
- 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
- Magnetically-Confined Bound States in Rashba Systems
- Impurity states in altermagnetic superconductors
- Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
- Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
- Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
- Majorana end states in an interacting quantum wire
- First principles study of topological phase in chains of transition metals
- Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
- Transport signatures of topological phases in double nanowires probed by spin-polarized STM
- Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers
- Anomalous photon-assisted tunneling in periodically driven Majorana nanowires and BCS Charge Measurement
- Analytical and semianalytical tools to determine the topological character of Shiba chains
- RKKY interaction in one-dimensional flat-band lattices
- Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
- Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping
- RKKY interaction at helical edges of topological superconductors
- Magnetic impurities on superconducting Pb surfaces
- Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
- Fractionalization of Majorana-Ising-type quasiparticles
- Instability of Majorana states in Shiba chains due to leakage into a topological substrate
- Topologically trivial gap-filling in superconducting Fe(Se,Te) by one dimensional defects
- Majorana bound states and zero-bias conductance peaks in superconductor/semiconductor nanowire devices
- Re-entrant topological order in strongly correlated nanowire due to Rashba spin-orbit coupling
- Kondo Screening and Indirect Magnetic Exchange through a Conventional Superconductor Studied by the Density-Matrix Renormalization Group
- Fractional spin excitations and conductance in the spiral staircase Heisenberg ladder
- Subgap states and quantum phase transitions in one-dimensional superconductor-ferromagnetic insulator heterostructures
- Majorana bound states in the presence of the half-smeared potential
- Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
- Electronic and Magnetic Properties of Building Blocks of Mn and Fe Atomic Chains on Nb(110)
- Entanglement entropy as a probe of topological phase transitions