Classical Spins in Generic Topological Superconductors

Wang Fei; Liu Qin; Ma Tianxing

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Classical Spins in Generic Topological Superconductors

Wang Fei 1,Liu Qin 2,Ma Tianxing 3 * #

1.,Department of Physics, Beijing Normal University,Beijing 100875

2.State Key Laboratory ofFunctional Materials for Informatics, Shanghai Institute ofMicrosystem and Information Technology, CAS, ShangHai 200050

3.Department of Physics, Beijing Normal University, Beijing 100875

*Correspondence author

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Funding: Supported by Research Fund for the Doctoral Program of Higher Education of China （No.20110003120007）

Opened online:23 October 2012

Accepted by: none

Citation: Wang Fei,Liu Qin,Ma Tianxing.Classical Spins in Generic Topological Superconductors[OL]. [23 October 2012] http://en.paper.edu.cn/en_releasepaper/content/4492049

When topological order is realized in a certain class of superconductors,Majorana fermions can be supported on the edge or in the vortex coreresting with the time-reversal symmetry, which play an important role for the realization offault-tolerant topological quantum computation. In this work, we proposea scheme to distinguish topological superconducting from normal superconductingstates by measuring the number of impurity-induced in-gap bound states.It is shown that there are always four in-gap bound states in topologicalsuperconducting states induced by magnetic impurities, and two by nonmagnetic impurities,irrelevant of the impurity strength. However, onlytwo in-gap bound states are induced in normal superconductingstates when impurity strength is weak. Our results help withthe search of topological order in superconductors without resorting tothe surface modes.

Keywords:condensed matter physics; classical spin; impurity; topological insulator; topological superconductor; localized excited state

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