Crystalline anisotropic topological superconductivity in planar Josephson junctions

We theoretically investigate the crystalline anisotropy of topological phase transitions in phase-controlled planar Josephson junctions (JJs) subject to spin-orbit coupling and in-plane magnetic fields. It is shown how topological superconductivity (TS) is affected by the interplay between the magne...

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Main Authors: Joseph D. Pakizer, Benedikt Scharf, Alex Matos-Abiague
Format: Article
Language:English
Published: American Physical Society 2021-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.013198
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author Joseph D. Pakizer
Benedikt Scharf
Alex Matos-Abiague
author_facet Joseph D. Pakizer
Benedikt Scharf
Alex Matos-Abiague
author_sort Joseph D. Pakizer
collection DOAJ
description We theoretically investigate the crystalline anisotropy of topological phase transitions in phase-controlled planar Josephson junctions (JJs) subject to spin-orbit coupling and in-plane magnetic fields. It is shown how topological superconductivity (TS) is affected by the interplay between the magnetic field and the orientation of the junction with respect to its crystallographic axes. This interplay can be used to electrically tune between different symmetry classes in a controlled fashion and thereby optimize the stability and localization of Majorana bound states in planar Josephson junctions. Our findings can be used as a guide for achieving the most favorable conditions when engineering TS in planar JJs and can be particularly relevant for setups containing noncollinear junctions which have been proposed for performing braiding operations on multiple Majorana pairs.
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spelling doaj.art-b57bc20a00bc4ec2b9be15dca49226682024-04-12T17:07:47ZengAmerican Physical SocietyPhysical Review Research2643-15642021-02-013101319810.1103/PhysRevResearch.3.013198Crystalline anisotropic topological superconductivity in planar Josephson junctionsJoseph D. PakizerBenedikt ScharfAlex Matos-AbiagueWe theoretically investigate the crystalline anisotropy of topological phase transitions in phase-controlled planar Josephson junctions (JJs) subject to spin-orbit coupling and in-plane magnetic fields. It is shown how topological superconductivity (TS) is affected by the interplay between the magnetic field and the orientation of the junction with respect to its crystallographic axes. This interplay can be used to electrically tune between different symmetry classes in a controlled fashion and thereby optimize the stability and localization of Majorana bound states in planar Josephson junctions. Our findings can be used as a guide for achieving the most favorable conditions when engineering TS in planar JJs and can be particularly relevant for setups containing noncollinear junctions which have been proposed for performing braiding operations on multiple Majorana pairs.http://doi.org/10.1103/PhysRevResearch.3.013198
spellingShingle Joseph D. Pakizer
Benedikt Scharf
Alex Matos-Abiague
Crystalline anisotropic topological superconductivity in planar Josephson junctions
Physical Review Research
title Crystalline anisotropic topological superconductivity in planar Josephson junctions
title_full Crystalline anisotropic topological superconductivity in planar Josephson junctions
title_fullStr Crystalline anisotropic topological superconductivity in planar Josephson junctions
title_full_unstemmed Crystalline anisotropic topological superconductivity in planar Josephson junctions
title_short Crystalline anisotropic topological superconductivity in planar Josephson junctions
title_sort crystalline anisotropic topological superconductivity in planar josephson junctions
url http://doi.org/10.1103/PhysRevResearch.3.013198
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AT benediktscharf crystallineanisotropictopologicalsuperconductivityinplanarjosephsonjunctions
AT alexmatosabiague crystallineanisotropictopologicalsuperconductivityinplanarjosephsonjunctions