Anomalous Proximity Effect of Planer Topological Josephson Junctions
arXiv:2007.12888 · doi:10.1103/PhysRevB.102.140505
Abstract
The anomalous proximity effect in dirty superconducting junctions is one of most striking phenomena highlighting the profound nature of Majorana bound states and odd-frequency Cooper pairs in topological superconductors. Motivated by the recent experimental realization of planar topological Josephson junctions, we describe the anomalous proximity effect in a superconductor/semiconductor hybrid, where an additional dirty normal-metal segment is extended from a topological Josephson junction. The topological phase transition in the topological Josephson junction is accompanied by a drastic change in the low-energy transport properties of the attached dirty normal-metal. The quantization of the zero-bias differential conductance, which appears only in the topologically nontrivial phase, is caused by the penetration of the Majorana bound states and odd-frequency Cooper pairs into a dirty normal-metal segment. As a consequence, we propose a practical experiment for observing the anomalous proximity effect.
arXiv comment10 pages, 6 figures
References in corpus (49)
- Topological Insulators
- Topological insulators and superconductors
- 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
- Classification of topological insulators and superconductors in three spatial dimensions
- Helical liquids and Majorana bound states in quantum wires
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Topological superconductors: a review
- Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
- Majorana fermions in chains of magnetic atoms on a superconductor
- Topological Superconductivity in CuxBi2Se3
- Chiral Topological Superconductor From the Quantum Hall State
- 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
- Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Evidence of topological superconductivity in planar Josephson junctions
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Topology of Andreev Bound States with Flat Dispersion
- Quantized conductance at the Majorana phase transition in a disordered superconducting wire
- Topological invariants for spin-orbit coupled superconductor nanowires
- Theory of the proximity effect in junctions with unconventional superconductors
- Topological Superconductivity in a Planar Josephson Junction
- Odd-frequency superconductivity
- Controlling non-Abelian statistics of Majorana fermions on Majorana dimer lattices
- Scattering formula for the topological quantum number of a disordered multi-mode wire
- Flux-induced Majorana modes in full-shell nanowires
- Topological superconductivity in full shell proximitized nanowires
- Flux-induced topological superconductivity in full-shell nanowires
- Anomalous charge transport in mesoscopic triplet superconductor junctions
- Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
- Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
- Anomalous features of the proximity effect in triplet superconductors
- Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
- Anomalous Josephson effect in p-wave dirty junctions
- Odd-frequency superconducting pairing in one-dimensional systems
- Conductance Spectroscopy of Spin-triplet Superconductors
- Benefits of weak disorder in one dimensional topological superconductors
- Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
- Random-matrix theory of Andreev reflection from a topological superconductor
- Quantization of Conductance Minimum and Index Theorem
- Anomalous Proximity Effect and Theoretical Design for its Realization
- Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
- Degeneracy of Majorana bound states and fractional Josephson effect in a dirty SNS junction
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- Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
- Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
- Odd-frequency pairing due to Majorana and trivial Andreev bound states
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