Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain

Abstract

Motivated by the recent experimental observation of the topological Anderson insulator in disordered atomic wires based on the Su-Schrieffer-Heeger (SSH) model, we study disorder effects on a dimerized Kitaev superconductor chain which is regarded as the superconductor version of the SSH model. By computing the real-space winding number and the zero-bias differential conductance, we analyze the topological phase transitions occurring in a dimerized Kitaev superconductor chain with disorder. It is found that disorder can induce a topologically nontrivial superconductor phase hosting Majorana zero modes (MZMs). We can regulate the appearance of disorder-induced MZMs by adjusting the dimerization parameter. Finally, we use the self-consistent Born approximation method to verify the numerical results.

References in corpus (103)

• Topological insulators and superconductors
• Fault-tolerant quantum computation by anyons
• 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
• 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
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Search for Majorana fermions in superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Topological superconductors: a review
• Majorana fermions in a tunable semiconductor device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Majorana Zero Modes and Topological Quantum Computation
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana Fermion Induced Resonant Andreev Reflection
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Topological Anderson Insulator
• Quantized Majorana conductance
• Tunneling characteristic of a chain of Majorana bound states
• Theory of the topological Anderson insulator
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Splitting of a Cooper pair by a pair of Majorana bound states
• Observation of the topological Anderson insulator in disordered atomic wires
• Photonic Topological Anderson Insulators
• Topological Quantum Computation Based on Chiral Majorana Fermions
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Classification of Topological Insulators and Superconductors
• Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
• Distinguishing a Majorana zero mode using spin resolved measurements
• Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
• Disorder-induced Floquet Topological Insulators
• The recursive Green's function method for graphene
• Epitaxy of Advanced Nanowire Quantum Devices
• Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
• Topological Anderson Insulator in Three Dimensions
• Geometric phases and quantum entanglement as building blocks for nonabelian quasiparticle statistics
• Probability distribution of Majorana end-state energies in disordered wires
• Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
• Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices
• Disorder and metal-insulator transitions in Weyl semimetals
• Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
• Interplay of disorder and interaction in Majorana quantum wires
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Enhanced zero-bias Majorana peak in disordered multi-subband quantum wires
• Adaptive tuning of Majorana fermions in a quantum dot chain
• Effects of electron scattering on the topological properties of nanowires: Majorana fermions from disorder and superlattices
• Topological Anderson insulator phenomena
• Topological quantum computation away from the ground state with Majorana fermions
• Phase diagrams of disordered Weyl semimetals
• Majorana zero modes on a necklace
• Topological order in the Kitaev/Majorana chain in the presence of disorder and interactions
• Majorana Fermion Induced Non-local Current Correlations in Spin-orbit Coupled Superconducting Wires
• Proximity effect and Majorana bound states in clean semiconductor nanowires coupled to disordered superconductors
• Finite-size effects in non-Hermitian topological systems
• Generalized Aubry-André-Harper model with p-wave superconducting pairing
• Benefits of weak disorder in one dimensional topological superconductors
• Local and nonlocal order parameters in the Kitaev chain
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• The topological Anderson insulator phase in the Kane-Mele model
• Crossover from Majorana edge to end states in quasi-one-dimensional p-wave superconductors
• Bulk disorder in the superconductor affects proximity-induced topological superconductivity
• Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
• Reentrant topological phase transitions in a disordered spinless superconducting wire
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions
• Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring
• Exact solutions and topological phase diagram in interacting dimerized Kitaev topological superconductors
• Quantum spin Hall effect induced by non-magnetic and magnetic staggered potentials
• Topological invariant in three-dimensional band insulators with disorder
• Disorder-induced topological phase transitions on Lieb lattices
• Topological Anderson insulator phase in a Dirac-semimetal thin film
• Disorder robustness and protection of Majorana bound states in ferromagnetic chains on conventional superconductors
• Localization-enhanced and degraded topological-order in interacting p-wave wires
• Disorder Protected and Induced Local Zero-Modes in Longer-Range Kitaev Chains
• Anderson Topological Superconductor
• Disordered Chern insulator with a two step Floquet drive
• Topological Anderson Insulators in Systems without Time-Reversal Symmetry
• Disorder-induced topological transitions in multichannel Majorana wires
• Generalized Eilenberger theory for Majorana zero-mode-carrying disordered $p$-wave superconductors
• Impurity-induced states in superconducting heterostructures
• Resilience of Majorana Fermions in the face of Disorder
• Theory of tunneling spectroscopy for chiral topological superconductors
• Phase diagrams of Weyl semimetals with competing intraorbital and interorbital disorders
• Density of states at disorder-induced phase transitions in a multichannel Majorana wire
• Detection of topological phases by quasi-local operators
• Strong Disorder Real-Space Renormalization for the Many-Body-Localized phase of random Majorana models
• Topological phase transitions in random Kitaev $\alpha$-chains
• Detecting topological phases via survival probabilities of edge Majorana fermions
• Charge-impurity-induced Majorana fermions in topological superconductors
• Topological phase diagram of the disordered 2XY model in presence of generalized Dzyaloshinskii-Moriya Interaction

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• Chern insulator in a hyperbolic lattice
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• Higher-order topological Anderson insulators in quasicrystals
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Exact Mobility edges and topological Anderson insulating phase in a slowly varying quasiperiodic model
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• Structural disorder-induced topological phase transitions in quasicrystals
• Topological superconductivity in Fibonacci quasicrystals
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• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
• Effects of anisotropic correlations in fermionic zero-energy bound states of topological phases
• Half-Quantized Hall Metal and Marginal Metal in Disordered Magnetic Topological Insulators
• Topological phases in the presence of disorder and longer-range couplings
• Recent progress on disorder-induced topological phases
• Localization and Topology in Noncentrosymmetric Superconductors with Disorder
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Majorana Bound State leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario
• Analytical classification of Majorana zero-mode spatial profiles in extended Kitaev chains: probability maxima can shift inward
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal