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Hauptverfasser: Hou, Pengcheng, Cai, Xiansheng, Wang, Tao, Deng, Youjin, Prokof'ev, Nikolay V., Svistunov, Boris V., Chen, Kun
Format: Preprint
Veröffentlicht: 2023
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2303.03624
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author Hou, Pengcheng
Cai, Xiansheng
Wang, Tao
Deng, Youjin
Prokof'ev, Nikolay V.
Svistunov, Boris V.
Chen, Kun
author_facet Hou, Pengcheng
Cai, Xiansheng
Wang, Tao
Deng, Youjin
Prokof'ev, Nikolay V.
Svistunov, Boris V.
Chen, Kun
contents 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 $10^{-100} T_{\rm F}$.
format Preprint
id arxiv_https___arxiv_org_abs_2303_03624
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Precursory Cooper Flow in Ultralow-Temperature Superconductors
Hou, Pengcheng
Cai, Xiansheng
Wang, Tao
Deng, Youjin
Prokof'ev, Nikolay V.
Svistunov, Boris V.
Chen, Kun
Superconductivity
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 $10^{-100} T_{\rm F}$.
title Precursory Cooper Flow in Ultralow-Temperature Superconductors
topic Superconductivity
url https://arxiv.org/abs/2303.03624