Precursory Cooper Flow in Ultralow-Temperature Superconductors

Superconductivity at low temperature -- observed in lithium and bismuth, as well as in various low-density superconductors -- calls for developing reliable theoretical and experimental tools for predicting ultralow critical temperatures, \(T_c\), of Cooper instability in a system demonstrating nothi...

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Bibliographic Details
Published in:arXiv.org 2023-09
Main Authors: Hou, Pengcheng, Cai, Xiansheng, Wang, Tao, Deng, Youjin, Prokof'ev, Nikolay V, Svistunov, Boris V, Chen, Kun
Format: Article
Language:English
Subjects:
Electron gas
Fermi liquids
High temperature
Low temperature
Perturbation
Phase diagrams
Superconductivity
Superconductors
Temperature dependence
Transition temperature
Tunnel junctions
Two dimensional analysis
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Summary:Superconductivity at low temperature -- observed in lithium and bismuth, as well as in various low-density superconductors -- calls for developing reliable theoretical and experimental tools for predicting ultralow critical temperatures, \(T_c\), of Cooper instability in a system demonstrating nothing but normal Fermi liquid behavior in a broad range of temperatures below the Fermi energy, \(T_{\rm F}\). Equally important are controlled predictions of stability in a given Cooper channel. We identify such a protocol within the paradigm of precursory Cooper flow -- a universal ansatz describing logarithmically slow temperature evolution of the linear response of the normal state to the pair-creating perturbation. Applying this framework to the two-dimensional uniform electron gas, we reveal a series of exotic superconducting states, pushing controlled theoretical predictions of \(T_c\) to the unprecedentedly low scale of \(10^{-100} T_{\rm F}\).
ISSN:2331-8422
DOI:10.48550/arxiv.2303.03624