Zero-energy Majorana states in a one-dimensional quantum wire with charge density wave instability
arXiv:1405.4815 · doi:10.1103/PhysRevB.89.195445
Abstract
One-dimensional lattice with strong spin-orbit interactions (SOI) and Zeeman magnetic field is shown to lead to the formation of a helical charge-density wave (CDW) state near half-filling. Interplay of the magnetic field, SOI constants and the CDW gap seems to support Majorana bound states under appropriate value of the external parameters. Explicit calculation of the quasi-particles' wave functions supports a formation of the localized zero-energy state, bounded to the sample end-points. Symmetry classification of the system is provided. Relative value of the density of states shows a precise zero-energy peak at the center of the band in the non-trivial topological regime.
arXiv comment5 pages, 2 figures
References in corpus (15)
- Fault-tolerant quantum computation by anyons
- 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
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- 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
- Classification of topological insulators and superconductors in three spatial dimensions
- Helical liquids and Majorana bound states in quantum wires
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Majorana fermions in a tunable semiconductor device
- Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
- Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films