Majorana bound states in a disordered quantum dot chain

Abstract

We study Majorana bound states in a disordered chain of semiconductor quantum dots proximity-coupled to an s-wave superconductor. By calculating its topological quantum number, based on the scattering-matrix method and a tight-binding model, we can identify the topological property of such an inhomogeneous one-dimensional system. We study the robustness of Majorana bound states against disorder in both the spin-independent terms (including the chemical potential and the regular spin-conserving hopping) and the spin-dependent term, i.e., the spin-flip hopping due to the Rashba spin-orbit coupling. We find that the Majorana bound states are not completely immune to the spin-independent disorder, especially when the latter is strong. Meanwhile, the Majorana bound states are relatively robust against spin-dependent disorder, as long as the spin-flip hopping is of uniform sign (i.e., the varying spin-flip hopping term does not change its sign along the chain). Nevertheless, when the disorder induces sign-flip in spin-flip hopping, the topological-nontopological phase transition takes place in the low-chemical-potential region.

8 pages, 5 figures

References in corpus (19)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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 Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana qubit decoherence by quasiparticle poisoning
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Decoherence of Majorana qubits by noisy gates
• Magneto-Josephson effects in junctions with Majorana bound states
• Majoranas in Noisy Kitaev Wires
• Robustness of Majorana Modes and Minigaps in a Spin-Orbit-Coupled Semiconductor-Superconductor Heterostructure
• Calculation of the conductance of a graphene sheet using the Chalker-Coddington network model
• Majorana fermions at the edge of superconducting islands
• Coherent manipulation of a Majorana qubit by a mechanical resonator
• Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity

Cited by in corpus (30)

• On controlling the bound states in quantum-dot hybrid-nanowire
• Andreev Molecules in Semiconductor Nanowire Double Quantum Dots
• Scaling of sub-gap excitations in a superconductor-semiconductor nanowire quantum dot
• Characterization of topological states via dual multipartite entanglement
• Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
• Majorana quasiparticles of inhomogeneous Rashba chain
• How to measure the Majorana polarization of a topological planar Josephson junction
• Control and detection of Majorana bound states in quantum dot arrays
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Realizing Topological Superconductivity with Superlattices
• Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
• Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures
• Majorana bound state engineering via efficient real-space parameter optimization
• Wave scattering properties of multiple weakly-coupled complex systems
• Disorder-generated non-Abelions
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Time-reversal-invariant topological superconductivity
• Random matrix theory for the robustness, quantization, and end-to-end correlation of zero-bias conductance peaks in a class D ensemble
• Effect of topological length on Bound states signatures in a Topological nanowire
• Multiple electronic components and Lifshitz transitions by oxygen wires formation in layered cuprates and nickelates
• Majorana fermions in the nonuniform Ising-Kitaev chain: exact solution
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Weyl points in systems of multiple semiconductor-superconductor quantum dots
• Topological phases in the presence of disorder and longer-range couplings
• Observability of a Sharp Majorana Transition in a Few-Body Model
• Theory of Andreev Blockade in a Double Quantum Dot with a Superconducting Lead
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Entanglement entropy as a probe of topological phase transitions
• Majorana Bound State leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario