Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires

Abstract

We show that the boundary charge and spin can be used as alternative signatures of the topological phase transition in topological models such as semiconducting nanowires with strong Rashba spin-orbit interaction in the presence of a magnetic field and in proximity to an $s$-wave superconductor. We identify signatures of the topological phase transition that do not rely on the presence of Majorana zero-energy modes and, thus, can serve as independent probes of topological properties. The boundary spin component along the magnetic field, obtained by summing contributions from all states below the Fermi level, has a pronounced peak at the topological phase transition point. Generally, such signatures can be observed at boundaries between topological and trivial sections in nanowires and are stable against disorder.

References in corpus (27)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• 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
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Nonlocal edge state transport in the quantum spin Hall state
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Transition from fractional to Majorana fermions in Rashba nanowires
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Majorana Fermions in Ge/Si Hole Nanowires
• Fractional Fermions with Non-Abelian Statistics
• Excess charges as a probe of one-dimensional topological crystalline insulating phases
• NanoSQUID magnetometry of individual cobalt nanoparticles grown by focused electron beam induced deposition
• SSH model with long-range hoppings: topology, driving and disorder
• Transport through Majorana nanowires attached to normal leads

Cited by in corpus (27)

• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire
• Majorana bound states in semiconducting nanostructures
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Topological superconductivity and Majorana states in low-dimensional systems
• From fractional boundary charges to quantized Hall conductance
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Quadrupole spin polarization as signature of second-order topological superconductors
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Tomography of zero-energy end modes in topological superconducting wires
• Magnetically-Confined Bound States in Rashba Systems
• Rational boundary charge in one-dimensional systems with interaction and disorder
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Spin-filtered measurements of Andreev bound states
• Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
• Majorana bound states in topological insulators with hidden Dirac points
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Anomalous photon-assisted tunneling in periodically driven Majorana nanowires and BCS Charge Measurement
• All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
• Correspondence between bulk equilibrium spin-currents and edge spin accumulation in wires with spin-orbit coupling
• Superconducting spin properties of Majorana nanowires and the associated superconducting anomalous Hall effect
• Phase transitions in quantum dot-Majorana zero mode coupling systems