Majorana fermions and odd-frequency Cooper pairs in a normal-metal nanowire proximity-coupled to a topological superconductor

2012/04/30 by Yasuhiro Asano, Yukio Tanaka · 8 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Condensed matter physics #Conductance #Cooper pair #Fermion #Josephson effect #MAJORANA #Majorana fermion #Materials science #Nanotechnology #Nanowire #Parity (physics) #Phase (matter) #Physics #Proximity effect (electron beam lithography) #Quantum and electron transport phenomena #Quantum mechanics #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.87.104513

published as Physical Review B 87, 104513 (2013) · 13 pages, 6 figures

arxiv created 2013/02/05 · openalex publication_date 2013/03/15 · arxiv updated 2013/04/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss a strong relationship between Majorana fermions and odd-frequency Cooper pairs which appear at a disordered normal (N) nanowire attached to a topologically nontrivial superconducting (S) one. The transport properties in superconducting nanowire junctions show universal behaviors irrespective of the degree of disorder: the quantized zero-bias differential conductance at 2e²/h in NS junction and the fractional current-phase (J\ensuremath-\ensuremathφ) relationship of the Josephson effect in SNS junction J\ensuremath∝sin(\ensuremathφ/2). Such behaviors are exactly the same as those found in the anomalous proximity effect of odd-parity spin-triplet superconductors. We show that the odd-frequency pairs exist wherever the Majorana fermions stay.

Citations

• Disappearance of ensemble-averaged Josephson current in dirty superconductor-normal-superconductor junctions ofd-wave superconductors
• Theory of topological spin current in noncentrosymmetric superconductors
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Search for Majorana Fermions in Multiband Semiconducting Nanowires
• Teoria simmetrica dell’elettrone e del positrone
• Helical Liquids and Majorana Bound States in Quantum Wires
• Observing Majorana bound States inp-Wave Superconductors Using Noise Measurements in Tunneling Experiments
• Non-Abelian anyons and topological quantum computation
• Unpaired Majorana fermions in quantum wires

Cited by

• Anomalous proximity effect of planar topological Josephson junctions
• Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Unconventional proximity-induced superconductivity in bilayer systems
• Effects of phase coherence on local density of states in superconducting proximity structures
• Majorana fermions in T-shaped semiconductor nanostructures
• Majorana Fermions and Topology in Superconductors
• Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact