Tunneling spectra simulation of interacting Majorana wires

Abstract

Recent tunneling experiments on InSb hybrid superconductor-semiconductor devices have provided hope for a stabilization of Majorana edge modes in a spin-orbit quantum wire subject to a magnetic field and superconducting proximity effect. Connecting the experimental scenario with a microscopic description poses challenges of different kind, such as accounting for the effect of interactions on the tunneling properties of the wire. We develop a density matrix renormalization group (DMRG) analysis of the tunneling spectra of interacting Majorana chains, which we explicate for the Kitaev chain model. Our DMRG approach allows us to calculate the spectral function down to zero frequency, where we analyze how the Majorana zero-bias peak is affected by interactions. From the study of topological phase transitions between the topological and trivial superconducting phase in the wire, we argue that the bulk gap closure generically affects both the proximity peaks and the Majorana peak, which should be observable in the transport signal.

4+e pages plus references, 5 figures

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Cited by in corpus (67)

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• Atomic spin chain realization of a model for quantum criticality
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• Exact Solution to Interacting Kitaev Chain at Symmetric Point
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Statistical translation invariance protects a topological insulator from interactions
• Proximity-induced low-energy renormalization in hybrid semiconductor-superconductor Majorana structures
• Braiding errors in interacting Majorana quantum wires
• Numerical evaluation of Greens functions based on the Chebyshev expansion
• Exact zero modes in twisted Kitaev chains
• Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
• Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
• Many-body Majorana operators and the equivalence of parity sectors
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Exact solutions and topological phase diagram in interacting dimerized Kitaev topological superconductors
• Multi-particle content of Majorana zero-modes in the interacting p-wave wire
• Unsupervised and supervised learning of interacting topological phases from single-particle correlation functions
• Multiple signatures of topological transitions for interacting fermions in chain lattices
• Topological superconductivity and Majorana states in low-dimensional systems
• Universal nonequilibrium signatures of Majorana zero modes in quench dynamics
• Exact ground states for interacting Kitaev chains
• Coulomb interaction effects on the Majorana states in quantum wires
• Localization-enhanced and degraded topological-order in interacting p-wave wires
• Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
• Majorana zero modes in Y-shape interacting Kitaev wires
• Identification of Majorana Modes in Interacting Systems by Local Integrals of Motion
• Phase Diagram and Entanglement of two interacting topological Kitaev chains
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• Robust topological phase in proximitized core-shell nanowires coupled to multiple superconductors
• Symmetric Minimally Entangled Typical Thermal States
• Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field
• Topological and quantum critical properties of the interacting Majorana chain model
• Topological $s$-wave superconductors driven by electron correlation
• Long Range Coulomb Interaction and the Majorana Fermions
• Tricritical Ising phase transition in two-ladder Majorana fermion lattice
• Influence of long-range interaction on Majorana zero modes
• Conductance of a Finite Kitaev Chain
• Out of Equilibrium Majoranas in Interacting Kitaev Chains
• Majorana phase-gate based on the geometric phase
• Solitonic in-gap modes in a superconductor-quantum antiferromagnet interface
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Dynamical topological excitations in parafermion chains
• Topological phases in spin-orbit coupled dipolar lattice bosons
• Effect of local Coulomb interaction on Majorana corner modes: weak and strong correlation limits
• Effect of interaction on the Majorana zero modes in the Kitaev chain at half filling
• Constrained thermalisation and topological superconductivity
• Frustration-free Hamiltonians supporting Majorana zero edge modes
• Engineering of many-body Majorana states in a topological insulator/s-wave superconductor heterostructure
• Topological phases and Majorana states in screened interacting quantum wires
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Topological phases in the presence of disorder and longer-range couplings
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Density matrix renormalization group for a highly degenerate quantum system: Sliding environment block approach
• Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder
• Effect of interatomic repulsion on Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system
• Zero-energy quasiparticles in an interacting nanowire containing a topological Josephson junction
• Topological invariants in terms of Green's function for the interacting Kitaev chain
• Probing Majorana fermions in the tunneling spectra of a resonant level
• Phase diagram of an extended parafermion chain
• Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization