Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid
Abstract In this work, a Josephson relation is generalized to a multi-component fermion superfluid. Superfluid density is expressed through a two-particle Green function for pairing states. When the system has only one gapless collective excitation mode, the Josephson relation is simplified, which i...
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2021
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oai:doaj.org-article:be6630bdfdf146c882bd3125682888172021-11-14T12:17:43ZSuperfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid10.1038/s41598-021-01261-y2045-2322https://doaj.org/article/be6630bdfdf146c882bd3125682888172021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-01261-yhttps://doaj.org/toc/2045-2322Abstract In this work, a Josephson relation is generalized to a multi-component fermion superfluid. Superfluid density is expressed through a two-particle Green function for pairing states. When the system has only one gapless collective excitation mode, the Josephson relation is simplified, which is given in terms of the superfluid order parameters and the trace of two-particle normal Green function. In addition, it is found that the matrix elements of two-particle Green function is directly related to the matrix elements of the pairing fluctuations of superfluid order parameters. Furthermore, in the presence of inversion symmetry, the superfluid density is given in terms of the pairing fluctuation matrix. The results of the superfluid density in Haldane model show that the generalized Josephson relation can be also applied to a multi-band fermion superfluid in lattice.Yi-Cai ZhangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021) |
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Medicine R Science Q Yi-Cai Zhang Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid |
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Abstract In this work, a Josephson relation is generalized to a multi-component fermion superfluid. Superfluid density is expressed through a two-particle Green function for pairing states. When the system has only one gapless collective excitation mode, the Josephson relation is simplified, which is given in terms of the superfluid order parameters and the trace of two-particle normal Green function. In addition, it is found that the matrix elements of two-particle Green function is directly related to the matrix elements of the pairing fluctuations of superfluid order parameters. Furthermore, in the presence of inversion symmetry, the superfluid density is given in terms of the pairing fluctuation matrix. The results of the superfluid density in Haldane model show that the generalized Josephson relation can be also applied to a multi-band fermion superfluid in lattice. |
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article |
author |
Yi-Cai Zhang |
author_facet |
Yi-Cai Zhang |
author_sort |
Yi-Cai Zhang |
title |
Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid |
title_short |
Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid |
title_full |
Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid |
title_fullStr |
Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid |
title_full_unstemmed |
Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid |
title_sort |
superfluid density, josephson relation and pairing fluctuations in a multi-component fermion superfluid |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/be6630bdfdf146c882bd312568288817 |
work_keys_str_mv |
AT yicaizhang superfluiddensityjosephsonrelationandpairingfluctuationsinamulticomponentfermionsuperfluid |
_version_ |
1718429312247398400 |