Andreev Bound states in One Dimensional Topological Superconductor
arXiv:1204.0570 · doi:10.1103/PhysRevLett.109.106404
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 (11)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
- Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
- Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
- superfluid from s-wave interactions of fermionic cold atoms
- Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
- Quantum Computation Using Vortices and Majorana Zero Modes of a + Superfluid of Fermionic Cold Atoms
- Search for Majorana fermions in multiband semiconducting nanowires
- Valley symmetry breaking and gap tuning in graphene by spin doping