Transport properties of an interacting Majorana chain
arXiv:1707.03176 · doi:10.1103/PhysRevB.96.205442
Abstract
We study a one-dimensional (1D) chain of Majorana bound states, which interact through a local quartic interaction. This model describes for example the edge physics of a quasi 1D stack of Kitaev chains with modified time-reversal symmetry , which precludes the presence of quadratic coupling. The ground state of our 1D Majorana chain displays a four-fold periodicity in , corresponding to the four distinct topological classes of the stacked Kitaev chains. We analyze the transport properties of the 1D Majorana chain, when probed by local conductors located at its ends. We find that for finite but large , the scattering matrix partially reflects the four-fold periodicity, and the chain exhibits strikingly different transport properties for different chain lengths. In the thermodynamic limit, the 1D Majorana chain hosts a robust many-body zero mode, which indicates that the corresponding stacked two-dimensional bulk system realizes a weak topological phase.
arXiv comment9 pages, 5 figures
References in corpus (39)
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Classification of topological insulators and superconductors in three spatial dimensions
- New directions in the pursuit of Majorana fermions in solid state systems
- Shot Noise in Mesoscopic Conductors
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Periodic table for topological insulators and superconductors
- Comments on the Sachdev-Ye-Kitaev model
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Topological phases of fermions in one dimension
- Chaos in AdS holography
- The effects of interactions on the topological classification of free fermion systems
- Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
- Black Holes and Random Matrices
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
- Single particle Green's functions and interacting topological insulators
- A Generalization of Sachdev-Ye-Kitaev
- Random-matrix theory of Majorana fermions and topological superconductors
- The strong side of weak topological insulators
- Solvable model for a dynamical quantum phase transition from fast to slow scrambling
- Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
- Scattering formula for the topological quantum number of a disordered multi-mode wire
- Scattering theory of topological insulators and superconductors
- Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
- Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
- Pedestrian Approach to the Two-Channel Kondo Model
- Phase Diagram of the Interacting Majorana Chain Model
- Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
- Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
- Statistical translation invariance protects a topological insulator from interactions
- Reentrant topological phase transitions in a disordered spinless superconducting wire
- Majorana-Hubbard model on the square lattice
- Simple description of the anisotropic two-channel Kondo problem
- A scattering matrix formulation of the topological index of interacting fermions in one-dimensional superconductors
- Transport signatures of interacting fermions in quasi-one-dimensional topological superconductors