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...
Main Authors: | , , , |
---|---|
Other Authors: | |
Format: | Article |
Language: | en_US |
Published: |
American Physical Society
2011
|
Online Access: | http://hdl.handle.net/1721.1/65866 |
_version_ | 1826199702020816896 |
---|---|
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. |
first_indexed | 2024-09-23T11:24:40Z |
format | Article |
id | mit-1721.1/65866 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T11:24:40Z |
publishDate | 2011 |
publisher | American Physical Society |
record_format | dspace |
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 |