The invisible Majorana bound state at the helical edge
arXiv:1805.08556 · doi:10.1140/epjst/e2018-800093-5
Abstract
The presence of a Majorana bound state in condensed matter systems is often associated to a zero bias peak in conductance measurements. Here, we analyze a system were this paradigm is violated. A Majorana bound state is always present at the interface between a quantum spin Hall system that is magnetically gapped and a quantum spin Hall system gapped by proximity induced s-wave superconductivity. However, the linear conductance could be either zero or nonzero and quantized depending on the energy and length scales of the barriers. The transition between the two values is reminiscent of the topological phase transition in proximitized spin-orbit coupled quantum wires in the presence of an applied magnetic field. We interpret the behavior of the conductance in terms of scattering states at both zero and non-zero energy.
arXiv commentsubmitted to: EPJ ST Special Issue: Topological States of Matter: Theory and Applications
References in corpus (72)
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Non-Abelian Anyons and Topological Quantum Computation
- Topological Order and the Quantum Spin Hall Effect
- 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
- Helical liquids and Majorana bound states in quantum wires
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Superconducting Spintronics
- Spintronics and Pseudospintronics in Graphene and Topological Insulators
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
- Nonlocal edge state transport in the quantum spin Hall state
- Majorana Fermion Induced Resonant Andreev Reflection
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
- Quantized Majorana conductance
- Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
- Tunneling characteristic of a chain of Majorana bound states
- Scaling of Majorana Zero-Bias Conductance Peaks
- -periodic Josephson supercurrent in HgTe-based topological Josephson junctions
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Induced Superconductivity in the Quantum Spin Hall Edge
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
- Gapless Andreev bound states in the quantum spin Hall insulator HgTe
- Random-matrix theory of Majorana fermions and topological superconductors
- Kondo effect in the helical edge liquid of the quantum spin Hall state
- Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
- Ballistic superconductivity in semiconductor nanowires
- Observation of a One-Dimensional Spin-Orbit Gap in a Quantum Wire
- Composite Majorana Fermion Wavefunctions in Nanowires
- Quantized conductance doubling and hard gap in a two-dimensional semiconductor-superconductor heterostructure
- Experimental Phase Diagram of a One-Dimensional Topological Superconductor
- Scattering formula for the topological quantum number of a disordered multi-mode wire
- Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
- Scattering theory of topological insulators and superconductors
- Odd-frequency pairing in normal metal/superconductor junctions
- Time-Reversal-Invariant Fractional Josephson Effect
- Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
- Decaying spectral oscillations in a Majorana wire with finite coherence length
- Non-Abelian parafermions in time-reversal invariant interacting helical systems
- Signatures of interaction-induced helical gaps in nanowire quantum point contacts
- Odd-frequency superconducting pairing in topological insulators
- Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
- Odd-Frequency Triplet Superconductivity at the Helical Edge of a Toplogical Insulator
- Josephson junction dynamics in the presence of - and -periodic supercurrents
- Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
- Devices with electrically tunable topological insulating phases
- Signatures of a 4-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions
- Evidence for Majorana bound states in transport properties of hybrid structures based on helical liquids
- Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
- Transport through a quantum spin Hall quantum dot
- The Majorana STM as a perfect detector of odd-frequency superconductivity
- The chiral anomaly in real space
- Fractional Wigner crystal in the helical Luttinger liquid
- Parafermions in an interacting quantum spin Hall Josephson junction coupled to an impurity spin
- Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
- Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
- Strongly anisotropic spin response as a signature of the helical regime in Rashba nanowires
- Spin textures of strongly correlated spin Hall quantum dots
- Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
- Fractional charge oscillations in quantum spin Hall quantum dots
Cited by in corpus (9)
- From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
- On-demand thermoelectric generation of equal-spin Cooper pairs
- Thermodynamics in topological Josephson junctions
- Waiting time distributions in Quantum spin hall based heterostructures
- Transport signatures of a Floquet topological transition at the helical edge
- Voltage-tunable Majorana bound states in time-reversal symmetric bilayer quantum spin Hall hybrid systems
- Identifying Majorana bound states at quantum spin Hall edges using a metallic probe
- Phase-tunable multiple Andreev reflections in a quantum spin Hall strip
- Spin responses of a disordered helical superconducting edge under Zeeman field