Anisotropic Magnetic Responses of Topological Crystalline Superconductors

Majorana Kramers pairs emerged on surfaces of time-reversal-invariant topological crystalline superconductors show the Ising anisotropy to an applied magnetic field. We clarify that crystalline symmetry uniquely determines the direction of the Majorana Ising spin for given irreduciblerepresentationso...

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Main Authors: Yuansen Xiong, Ai Yamakage, Shingo Kobayashi, Masatoshi Sato, Yukio Tanaka
Format: Article
Language:English
Published: MDPI AG 2017-02-01
Series:Crystals
Subjects:
Online Access:http://www.mdpi.com/2073-4352/7/2/58
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author Yuansen Xiong
Ai Yamakage
Shingo Kobayashi
Masatoshi Sato
Yukio Tanaka
author_facet Yuansen Xiong
Ai Yamakage
Shingo Kobayashi
Masatoshi Sato
Yukio Tanaka
author_sort Yuansen Xiong
collection DOAJ
description Majorana Kramers pairs emerged on surfaces of time-reversal-invariant topological crystalline superconductors show the Ising anisotropy to an applied magnetic field. We clarify that crystalline symmetry uniquely determines the direction of the Majorana Ising spin for given irreduciblerepresentationsofpairpotential,derivingconstraintstotopologicalinvariants. In addition, necessary conditions for nontrivial topological invariants protected by the n-fold rotational symmetry are shown.
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spelling doaj.art-bde80a7977494695b71bc34cc4694e6f2022-12-22T04:09:00ZengMDPI AGCrystals2073-43522017-02-01725810.3390/cryst7020058cryst7020058Anisotropic Magnetic Responses of Topological Crystalline SuperconductorsYuansen Xiong0Ai Yamakage1Shingo Kobayashi2Masatoshi Sato3Yukio Tanaka4Department of Applied Physics, Nagoya University, Nagoya 464-8603, JapanDepartment of Applied Physics, Nagoya University, Nagoya 464-8603, JapanDepartment of Applied Physics, Nagoya University, Nagoya 464-8603, JapanYukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwake-Cho, Kyoto 606-8502, JapanDepartment of Applied Physics, Nagoya University, Nagoya 464-8603, JapanMajorana Kramers pairs emerged on surfaces of time-reversal-invariant topological crystalline superconductors show the Ising anisotropy to an applied magnetic field. We clarify that crystalline symmetry uniquely determines the direction of the Majorana Ising spin for given irreduciblerepresentationsofpairpotential,derivingconstraintstotopologicalinvariants. In addition, necessary conditions for nontrivial topological invariants protected by the n-fold rotational symmetry are shown.http://www.mdpi.com/2073-4352/7/2/58topologicalsuperconductorstopologicalcrystallinesuperconductorsMajoranaIsingspin
spellingShingle Yuansen Xiong
Ai Yamakage
Shingo Kobayashi
Masatoshi Sato
Yukio Tanaka
Anisotropic Magnetic Responses of Topological Crystalline Superconductors
Crystals
topologicalsuperconductors
topologicalcrystallinesuperconductors
MajoranaIsingspin
title Anisotropic Magnetic Responses of Topological Crystalline Superconductors
title_full Anisotropic Magnetic Responses of Topological Crystalline Superconductors
title_fullStr Anisotropic Magnetic Responses of Topological Crystalline Superconductors
title_full_unstemmed Anisotropic Magnetic Responses of Topological Crystalline Superconductors
title_short Anisotropic Magnetic Responses of Topological Crystalline Superconductors
title_sort anisotropic magnetic responses of topological crystalline superconductors
topic topologicalsuperconductors
topologicalcrystallinesuperconductors
MajoranaIsingspin
url http://www.mdpi.com/2073-4352/7/2/58
work_keys_str_mv AT yuansenxiong anisotropicmagneticresponsesoftopologicalcrystallinesuperconductors
AT aiyamakage anisotropicmagneticresponsesoftopologicalcrystallinesuperconductors
AT shingokobayashi anisotropicmagneticresponsesoftopologicalcrystallinesuperconductors
AT masatoshisato anisotropicmagneticresponsesoftopologicalcrystallinesuperconductors
AT yukiotanaka anisotropicmagneticresponsesoftopologicalcrystallinesuperconductors