Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
arXiv:2106.09351 · doi:10.1088/1361-648X/ac1d6d
Abstract
We consider theoretically a -semiconducting wire with strong Rashba interaction in proximity with -wave superconductor, driven into topological phase by external magnetic field. Additionally, we take into account on-site Coulomb interactions inside the wire. The system is modelled by a tight binding Hamiltonian with Rashba hopping term and induced -wave superconductivity. Calculations are performed utilizing recursive Green's function method, and Coulomb interactions are treated selfconsistently within Hubbard approximation. For the Hubbard levels residing within -wave superconducting gap, particle-hole symmetric four-resonance structure develops in the density of states, apart from Majorana resonance. One pair of particle-hole symmetric resonances is created by the discrete -Hubbard levels of the particular site, and the second pair of Hubbard sub-bands originates from recursive summation over the sites of the wire. Quantum interference between both types of pairs of states creates in-gap charge-conjugated Fano resonances with opposite asymmetry factors. We demonstrate that when quantum interference is dominated by two-particle tunneling, the Majorana resonance is strongly diminished, while it is not altered when single-particle tunneling dominates in interference process. We also discuss some consequences for experimental distinction of true Majorana states, and show that on-site Coulomb interactions support the appearance of topological phase.
arXiv comment16 pages, 7 figures
References in corpus (76)
- Non-Abelian Anyons and Topological Quantum Computation
- 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
- Helical liquids and Majorana bound states in quantum wires
- Fano resonances in nanoscale structures
- New directions in the pursuit of Majorana fermions in solid state systems
- Kondo Physics in a Single Electron Transistor
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Majorana fermions in a tunable semiconductor device
- Majorana Zero Modes and Topological Quantum Computation
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- Hard gap in epitaxial semiconductor-superconductor nanowires
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Majorana qubit decoherence by quasiparticle poisoning
- Distinguishing a Majorana zero mode using spin resolved measurements
- Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
- Majorana edge states in interacting one-dimensional systems
- Experimental Phase Diagram of a One-Dimensional Topological Superconductor
- Parity lifetime of bound states in a proximitized semiconductor nanowire
- Transition from fractional to Majorana fermions in Rashba nanowires
- Non-Majorana states yield nearly quantized conductance in superconductor-semiconductor nanowire devices
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- Tunneling processes into localized subgap states in superconductors
- Exact ground states and topological order in interacting Kitaev/Majorana chains
- Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
- Search for non-Abelian Majorana braiding statistics in superconductors
- Synthetic spin orbit interaction for Majorana devices
- Electric field tunable superconductor-semiconductor coupling in Majorana nanowires
- Majorana single-charge transistor
- Interacting topological phases in multiband nanowires
- Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
- Triplet Fermions and Dirac Fermions in Borophene
- Spin-Orbit Protection of Induced Superconductivity in Majorana Nanowires
- Parity independence of the zero-bias conductance peak in a nanowire based topological superconductor-quantum dot hybrid device
- Exact Solution to Interacting Kitaev Chain at Symmetric Point
- Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
- Distinguishing Majorana bound states from localized Andreev bound states by interferometry
- Quasiparticle poisoning of Majorana qubits
- Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase
- Conductance of a superconducting Coulomb blockaded Majorana nanowire
- Tunneling dynamics between superconducting bound states at the atomic limit
- Braiding errors in interacting Majorana quantum wires
- Coupled Yu-Shiba-Rusinov states induced by a many-body molecular spin on a superconductor
- Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
- Fano versus Kondo Resonances in a Multilevel "Semi-Open" Quantum Dot
- From Majorana theory of atomic autoionization to Feshbach resonances in high temperature superconductors
- Multi-particle content of Majorana zero-modes in the interacting p-wave wire
- Multiple signatures of topological transitions for interacting fermions in chain lattices
- Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
- Coulomb interaction effects on the Majorana states in quantum wires
- Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
- Interaction-driven topological superconductivity in one dimension
- Study of the phase diagram of the Kitaev-Hubbard chain
- Probing the Antisymmetric Fano Interference Assisted by a Majorana Fermion
- Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
- Phase Diagram and Entanglement of two interacting topological Kitaev chains
- Enhanced current noise correlations in a Coulomb-Majorana device
- Transport through a Majorana island: strong tunneling regime
- Coulomb blockade of a nearly-open Majorana island
- A scattering matrix formulation of the topological index of interacting fermions in one-dimensional superconductors
- Topological -wave superconductors driven by electron correlation
- Fano-Majorana effect and bound states in the continuum on a crossbar-shaped quantum dot hybrid structure
- Helical gaps in interacting Rashba wires at low electron densities
- Exact Boundary Modes in an Interacting Quantum Wire
- Quantum dots as scatterers in electronic transport : interference and correlations
- Tunnel spectroscopy of Majorana bound states in topological superconductor-quantum dot Josephson junctions
- Strongly Interacting Holes in Ge/Si Nanowires
- Majorana end states in an interacting quantum wire
- Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
- Effect of interaction on the Majorana zero modes in the Kitaev chain at half filling
- Coulomb-interaction-induced Majorana edge modes in nanowires
- Topological phases and Majorana states in screened interacting quantum wires