Fractional chiral superconductors
Two-dimensional px+ipy topological superconductors host gapless Majorana edge modes, as well as Majorana bound states at the core of h/2e vortices. Here we establish the possibility of realizing the fractional counterpart of this phase: a fractional chiral superconductor. This exotic phase is shown...
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ftfuberlin:oai:refubium.fu-berlin.de:fub188/21714 2023-05-15T16:55:50+02:00 Fractional chiral superconductors Sagi, Eran Haim, Arbel Berg, Erez Oppen, Felix von Oreg, Yuval 2017 12 Seiten application/pdf https://refubium.fu-berlin.de/handle/fub188/21714 https://doi.org/10.17169/refubium-25002 https://doi.org/10.1103/PhysRevB.96.235144 eng eng https://refubium.fu-berlin.de/handle/fub188/21714 http://dx.doi.org/10.17169/refubium-25002 62136 doi:10.1103/PhysRevB.96.235144 http://journals.aps.org/authors/transfer-of-copyright-agreement ddc:530 doc-type:article 2017 ftfuberlin https://doi.org/10.17169/refubium-25002 https://doi.org/10.1103/PhysRevB.96.235144 2022-05-15T20:48:20Z Two-dimensional px+ipy topological superconductors host gapless Majorana edge modes, as well as Majorana bound states at the core of h/2e vortices. Here we establish the possibility of realizing the fractional counterpart of this phase: a fractional chiral superconductor. This exotic phase is shown to give rise to a plethora of non-Abelian bulk excitations and a chiral Z2m parafermion theory on the edge of the sample, where m is an odd integer. In addition, we demonstrate that Z2m parafermionic bound states reside at the cores of h/2e vortices. In certain geometries, the system can support a fractional Josephson junction with 4πm periodicity, reflecting the underlying non-Abelian excitations. Finally, we show that the tunneling density of states associated with this edge theory exhibits an anomalous energy dependence of the form ωm−1. Our results are demonstrated through an explicit tractable model, composed of an array of coupled Rashba wires in the presence of strong interactions, Zeeman field, and proximity coupling to an s-wave superconductor. Article in Journal/Newspaper IPY Freie Universität Berlin: Refubium (FU Berlin) |
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Freie Universität Berlin: Refubium (FU Berlin) |
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English |
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ddc:530 Sagi, Eran Haim, Arbel Berg, Erez Oppen, Felix von Oreg, Yuval Fractional chiral superconductors |
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ddc:530 |
description |
Two-dimensional px+ipy topological superconductors host gapless Majorana edge modes, as well as Majorana bound states at the core of h/2e vortices. Here we establish the possibility of realizing the fractional counterpart of this phase: a fractional chiral superconductor. This exotic phase is shown to give rise to a plethora of non-Abelian bulk excitations and a chiral Z2m parafermion theory on the edge of the sample, where m is an odd integer. In addition, we demonstrate that Z2m parafermionic bound states reside at the cores of h/2e vortices. In certain geometries, the system can support a fractional Josephson junction with 4πm periodicity, reflecting the underlying non-Abelian excitations. Finally, we show that the tunneling density of states associated with this edge theory exhibits an anomalous energy dependence of the form ωm−1. Our results are demonstrated through an explicit tractable model, composed of an array of coupled Rashba wires in the presence of strong interactions, Zeeman field, and proximity coupling to an s-wave superconductor. |
format |
Article in Journal/Newspaper |
author |
Sagi, Eran Haim, Arbel Berg, Erez Oppen, Felix von Oreg, Yuval |
author_facet |
Sagi, Eran Haim, Arbel Berg, Erez Oppen, Felix von Oreg, Yuval |
author_sort |
Sagi, Eran |
title |
Fractional chiral superconductors |
title_short |
Fractional chiral superconductors |
title_full |
Fractional chiral superconductors |
title_fullStr |
Fractional chiral superconductors |
title_full_unstemmed |
Fractional chiral superconductors |
title_sort |
fractional chiral superconductors |
publishDate |
2017 |
url |
https://refubium.fu-berlin.de/handle/fub188/21714 https://doi.org/10.17169/refubium-25002 https://doi.org/10.1103/PhysRevB.96.235144 |
genre |
IPY |
genre_facet |
IPY |
op_relation |
https://refubium.fu-berlin.de/handle/fub188/21714 http://dx.doi.org/10.17169/refubium-25002 62136 doi:10.1103/PhysRevB.96.235144 |
op_rights |
http://journals.aps.org/authors/transfer-of-copyright-agreement |
op_doi |
https://doi.org/10.17169/refubium-25002 https://doi.org/10.1103/PhysRevB.96.235144 |
_version_ |
1766046891619909632 |