Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
arXiv:1711.04682 · doi:10.1103/PhysRevB.97.045415
Abstract
We analyze the effects of electron-electron interactions and disorder on a Rashba double-nanowire setup coupled to an s-wave superconductor, which has been recently proposed as a versatile platform to generate Kramers pairs of Majorana bound states in the absence of magnetic fields. We identify the regime of parameters for which these Kramers pairs are stable against interaction and disorder effects. We use bosonization, perturbative renormalization group, and replica techniques to derive the flow equations for various parameters of the model and evaluate the corresponding phase diagram with topological and disorder-dominated phases. We confirm aforementioned results by considering a more microscopic approach which starts from the tunneling Hamiltonian between the three-dimensional s-wave superconductor and the nanowires. We find again that the interaction drives the system into the topological phase and, as the strength of the source term coming from the tunneling Hamiltonian increases, strong electron-electron interactions are required to reach the topological phase.
24 pages, 12 figures, published version
References in corpus (25)
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Introduction to topological superconductivity and Majorana fermions
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
- Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
- Search for Majorana fermions in multiband semiconducting nanowires
- Majorana edge states in interacting one-dimensional systems
- Ballistic superconductivity in semiconductor nanowires
- Transition from fractional to Majorana fermions in Rashba nanowires
- Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
- Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
- On controlling the bound states in quantum-dot hybrid-nanowire
- Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
- Majorana Fermions in Ge/Si Hole Nanowires
- Quantum Spin Hall Effect in Strip of Stripes Model
- Zero-energy pinning from interactions in Majorana nanowires
- Finite-size effects in a nanowire strongly coupled to a thin superconducting shell
- Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
- Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
- Topology and zero energy edge states in carbon nanotubes with superconducting pairing
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