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  Decay of superconducting correlations for gauged electrons in dimensions D ≤ 4

Tada, Y., & Koma, T. (2018). Decay of superconducting correlations for gauged electrons in dimensions D ≤ 4. Journal of Mathematical Physics, 59(3): 031905. doi:10.1063/1.5029282.

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 Creators:
Tada, Yasuhiro1, Author              
Koma, Tohru2, Author
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              
2external, ou_persistent22              

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 MPIPKS: Strongly correlated electrons
 Abstract: We study lattice superconductors coupled to gauge fields, such as an attractive Hubbard model in electromagnetic fields, with a standard gauge fixing. We prove upper bounds for a two-point Cooper pair correlation at finite temperatures in spatial dimensions D <= 4. The upper bounds decay exponentially in three dimensions and by power lawin four dimensions. These imply the absence of the superconducting long-range order for the Cooper pair amplitude as a consequence of fluctuations of the gauge fields. Since our results hold for the gauge fixing Hamiltonian, they cannot be obtained as a corollary of Elitzur's theorem. Published by AIP Publishing.

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Language(s): eng - English
 Dates: 2018-03-312018-03-31
 Publication Status: Published in print
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 Rev. Type: -
 Identifiers: ISI: 000428902300011
DOI: 10.1063/1.5029282
 Degree: -

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Title: Journal of Mathematical Physics
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. [etc.] : American Institute of Physics
Pages: - Volume / Issue: 59 (3) Sequence Number: 031905 Start / End Page: - Identifier: ISSN: 0022-2488
CoNE: https://pure.mpg.de/cone/journals/resource/954922836227