Counting Majorana zero modes in superconductors

A counting formula for computing the number of (Majorana) zero modes bound to topological point defects is evaluated in a gradient expansion for systems with charge-conjugation symmetry. This semi-classical counting of zero modes is applied to some examples that include graphene and a chiral p-wave...

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Main Authors: Santos, Luiz, Nishida, Yusuke, Chamon, Claudio, Mudry, Christopher
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: American Physical Society 2011
Online Access:http://hdl.handle.net/1721.1/65866
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author Santos, Luiz
Nishida, Yusuke
Chamon, Claudio
Mudry, Christopher
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Santos, Luiz
Nishida, Yusuke
Chamon, Claudio
Mudry, Christopher
author_sort Santos, Luiz
collection MIT
description A counting formula for computing the number of (Majorana) zero modes bound to topological point defects is evaluated in a gradient expansion for systems with charge-conjugation symmetry. This semi-classical counting of zero modes is applied to some examples that include graphene and a chiral p-wave superconductor in two-dimensional space. In all cases, we explicitly relate the counting of zero modes to Chern numbers.
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spelling mit-1721.1/658662022-10-01T03:24:12Z Counting Majorana zero modes in superconductors Santos, Luiz Nishida, Yusuke Chamon, Claudio Mudry, Christopher Massachusetts Institute of Technology. Center for Theoretical Physics Nishida, Yusuke Nishida, Yusuke A counting formula for computing the number of (Majorana) zero modes bound to topological point defects is evaluated in a gradient expansion for systems with charge-conjugation symmetry. This semi-classical counting of zero modes is applied to some examples that include graphene and a chiral p-wave superconductor in two-dimensional space. In all cases, we explicitly relate the counting of zero modes to Chern numbers. 2011-09-16T15:31:11Z 2011-09-16T15:31:11Z 2011-03 2010-11 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/65866 Santos, Luiz et al. “Counting Majorana Zero Modes in Superconductors.” Physical Review B 83.10 (2011): 104522. ©2011 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevB.83.104522 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Santos, Luiz
Nishida, Yusuke
Chamon, Claudio
Mudry, Christopher
Counting Majorana zero modes in superconductors
title Counting Majorana zero modes in superconductors
title_full Counting Majorana zero modes in superconductors
title_fullStr Counting Majorana zero modes in superconductors
title_full_unstemmed Counting Majorana zero modes in superconductors
title_short Counting Majorana zero modes in superconductors
title_sort counting majorana zero modes in superconductors
url http://hdl.handle.net/1721.1/65866
work_keys_str_mv AT santosluiz countingmajoranazeromodesinsuperconductors
AT nishidayusuke countingmajoranazeromodesinsuperconductors
AT chamonclaudio countingmajoranazeromodesinsuperconductors
AT mudrychristopher countingmajoranazeromodesinsuperconductors