Majorana fermions of a two-dimensional Px+iPy superconductor
To investigate Majorana fermionic excitations of a $p_x+ip_y$ superconductor, the Bogoliubov-de-Gennes equation is solved on a sphere for two cases: (i) a vortex-antivortex pair at opposite poles and (ii) an edge near the south pole and an antivortex at the north pole. The vortex cores support a sta...
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ftdatacite:10.48550/arxiv.0904.2920 2023-05-15T16:55:50+02:00 Majorana fermions of a two-dimensional Px+iPy superconductor Kraus, Yaacov E. Auerbach, Assa Fertig, H. A. Simon, Steven H. 2009 https://dx.doi.org/10.48550/arxiv.0904.2920 https://arxiv.org/abs/0904.2920 unknown arXiv https://dx.doi.org/10.1103/physrevb.79.134515 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Superconductivity cond-mat.supr-con Strongly Correlated Electrons cond-mat.str-el FOS Physical sciences article-journal Article ScholarlyArticle Text 2009 ftdatacite https://doi.org/10.48550/arxiv.0904.2920 https://doi.org/10.1103/physrevb.79.134515 2022-04-01T15:15:15Z To investigate Majorana fermionic excitations of a $p_x+ip_y$ superconductor, the Bogoliubov-de-Gennes equation is solved on a sphere for two cases: (i) a vortex-antivortex pair at opposite poles and (ii) an edge near the south pole and an antivortex at the north pole. The vortex cores support a state of two Majorana fermions, the energy of which decreases exponentially with the radius of the sphere, independently of a moderate disorder potential. The tunneling conductance of an electron into the superconductor near the position of a vortex is computed for finite temperature, and is compared to the case of an {\it s}-wave superconductor. The zero bias conductance peak of the antivortex is half that of the vortex. This effect can be used as a probe of the order parameter symmetry, and as a direct measurement of the Majorana fermion. : 15 pages, 17 figures Text IPY North Pole South pole DataCite Metadata Store (German National Library of Science and Technology) North Pole South Pole |
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DataCite Metadata Store (German National Library of Science and Technology) |
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Superconductivity cond-mat.supr-con Strongly Correlated Electrons cond-mat.str-el FOS Physical sciences |
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Superconductivity cond-mat.supr-con Strongly Correlated Electrons cond-mat.str-el FOS Physical sciences Kraus, Yaacov E. Auerbach, Assa Fertig, H. A. Simon, Steven H. Majorana fermions of a two-dimensional Px+iPy superconductor |
topic_facet |
Superconductivity cond-mat.supr-con Strongly Correlated Electrons cond-mat.str-el FOS Physical sciences |
description |
To investigate Majorana fermionic excitations of a $p_x+ip_y$ superconductor, the Bogoliubov-de-Gennes equation is solved on a sphere for two cases: (i) a vortex-antivortex pair at opposite poles and (ii) an edge near the south pole and an antivortex at the north pole. The vortex cores support a state of two Majorana fermions, the energy of which decreases exponentially with the radius of the sphere, independently of a moderate disorder potential. The tunneling conductance of an electron into the superconductor near the position of a vortex is computed for finite temperature, and is compared to the case of an {\it s}-wave superconductor. The zero bias conductance peak of the antivortex is half that of the vortex. This effect can be used as a probe of the order parameter symmetry, and as a direct measurement of the Majorana fermion. : 15 pages, 17 figures |
format |
Text |
author |
Kraus, Yaacov E. Auerbach, Assa Fertig, H. A. Simon, Steven H. |
author_facet |
Kraus, Yaacov E. Auerbach, Assa Fertig, H. A. Simon, Steven H. |
author_sort |
Kraus, Yaacov E. |
title |
Majorana fermions of a two-dimensional Px+iPy superconductor |
title_short |
Majorana fermions of a two-dimensional Px+iPy superconductor |
title_full |
Majorana fermions of a two-dimensional Px+iPy superconductor |
title_fullStr |
Majorana fermions of a two-dimensional Px+iPy superconductor |
title_full_unstemmed |
Majorana fermions of a two-dimensional Px+iPy superconductor |
title_sort |
majorana fermions of a two-dimensional px+ipy superconductor |
publisher |
arXiv |
publishDate |
2009 |
url |
https://dx.doi.org/10.48550/arxiv.0904.2920 https://arxiv.org/abs/0904.2920 |
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North Pole South Pole |
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North Pole South Pole |
genre |
IPY North Pole South pole |
genre_facet |
IPY North Pole South pole |
op_relation |
https://dx.doi.org/10.1103/physrevb.79.134515 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.0904.2920 https://doi.org/10.1103/physrevb.79.134515 |
_version_ |
1766046889144221696 |