Andreev Bound states in One Dimensional Topological Superconductor

Abstract

We study the charge character of the Andreev bound states (ABSs) in one-dimensional topological superconductors with spatial inversion symmetry (SIS) breaking. Despite the absence of the SIS, we show a hidden symmetry for the Bogoliubov de Gennes equations around Fermi points in addition to the particle-hole symmetry. This hidden symmetry protects that the charge of the ABSs is solely dependent on the corresponding Fermi velocities. On the other hand, if the SIS is present, the ABSs are charge neutral, similar to Majorana fermions. We demonstrate that the charge of the ABSs can be experimentally measured in the tunneling transport spectroscopy from the resonant differential tunneling conductance.

4 pages plus appendix; 4 figures

References in corpus (34)

• Quantum Spin Hall Effect in Graphene
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Quantum Spin Hall Effect in Silicene
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Epitaxial Growth of a Silicene Sheet
• Majorana fermions in a tunable semiconductor device
• Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Majorana Fermion Induced Resonant Andreev Reflection
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Tunneling characteristic of a chain of Majorana bound states
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Splitting of a Cooper pair by a pair of Majorana bound states
• Unconventional superconductivity on a topological insulator
• Majorana Fermions in Semiconductor Nanowires
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Fractional ac Josephson effect in p- and d-wave superconductors
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Search for Majorana fermions in multiband semiconducting nanowires
• Quantum point contact as a probe of a topological superconductor
• Scheme to measure Majorana fermion lifetimes using a quantum dot
• Robustness of Majorana Fermion induced Fractional Josephson Effect
• Valley symmetry breaking and gap tuning in graphene by spin doping

Cited by in corpus (11)

• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Non-Abelian Majorana Doublets in Time-Reversal Invariant Topological Superconductor
• Manipulating Majorana Fermions in Quantum Nanowires with Broken Inversion Symmetry
• Symmetry-protected non-Abelian braiding of Majorana Kramers' pairs
• Solitonic in-gap modes in a superconductor-quantum antiferromagnet interface
• Probing zero-modes of defect in Kitaev quantum wire
• Do Majorana zero modes emerge in the hybrid nanowire under a strong magnetic field?
• Theory of topological spin Josephson junctions
• Magnetic phases of XY model with three-spin terms: interplay of topology and entanglement
• Symmetry Reduction and Boundary Modes for Fe-Chains on an s-wave Superconductor
• Giant and robust Josephson diode effect in multiband topological nanowires