Low-dimensional fluctuations and pseudogap in Gaudin-Yang Fermi gases

The pseudogap is a ubiquitous phenomenon in strongly correlated systems, such as high-T_{c} superconductors, ultracold atoms, and nuclear physics. Whereas pairing fluctuations inducing the pseudogap are known to be enhanced in low-dimensional systems, such effects have not been explored well in one...

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Main Authors: Hiroyuki Tajima, Shoichiro Tsutsui, Takahiro M. Doi
Format: Article
Language:English
Published: American Physical Society 2020-09-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033441
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author Hiroyuki Tajima
Shoichiro Tsutsui
Takahiro M. Doi
author_facet Hiroyuki Tajima
Shoichiro Tsutsui
Takahiro M. Doi
author_sort Hiroyuki Tajima
collection DOAJ
description The pseudogap is a ubiquitous phenomenon in strongly correlated systems, such as high-T_{c} superconductors, ultracold atoms, and nuclear physics. Whereas pairing fluctuations inducing the pseudogap are known to be enhanced in low-dimensional systems, such effects have not been explored well in one of the most fundamental one-dimensional models, that is, Gaudin-Yang model. In this paper, we show how the pseudogap effect emerges in the single-particle excitation in this system using a diagrammatic approach. Fermionic single-particle spectra exhibit a unique crossover from the double-particle dispersion to the pseudogap state with increasing the attractive interaction and the number density at finite temperature. Surprisingly, our results of thermodynamic quantities in unpolarized and polarized gases show an excellent agreement with the recent quantum Monte Carlo and complex Langevin results, indicating the validity of our approach even in the region where the pseudogap appears.
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spelling doaj.art-81613c8c2297442e925db120528b597b2024-04-12T17:00:49ZengAmerican Physical SocietyPhysical Review Research2643-15642020-09-012303344110.1103/PhysRevResearch.2.033441Low-dimensional fluctuations and pseudogap in Gaudin-Yang Fermi gasesHiroyuki TajimaShoichiro TsutsuiTakahiro M. DoiThe pseudogap is a ubiquitous phenomenon in strongly correlated systems, such as high-T_{c} superconductors, ultracold atoms, and nuclear physics. Whereas pairing fluctuations inducing the pseudogap are known to be enhanced in low-dimensional systems, such effects have not been explored well in one of the most fundamental one-dimensional models, that is, Gaudin-Yang model. In this paper, we show how the pseudogap effect emerges in the single-particle excitation in this system using a diagrammatic approach. Fermionic single-particle spectra exhibit a unique crossover from the double-particle dispersion to the pseudogap state with increasing the attractive interaction and the number density at finite temperature. Surprisingly, our results of thermodynamic quantities in unpolarized and polarized gases show an excellent agreement with the recent quantum Monte Carlo and complex Langevin results, indicating the validity of our approach even in the region where the pseudogap appears.http://doi.org/10.1103/PhysRevResearch.2.033441
spellingShingle Hiroyuki Tajima
Shoichiro Tsutsui
Takahiro M. Doi
Low-dimensional fluctuations and pseudogap in Gaudin-Yang Fermi gases
Physical Review Research
title Low-dimensional fluctuations and pseudogap in Gaudin-Yang Fermi gases
title_full Low-dimensional fluctuations and pseudogap in Gaudin-Yang Fermi gases
title_fullStr Low-dimensional fluctuations and pseudogap in Gaudin-Yang Fermi gases
title_full_unstemmed Low-dimensional fluctuations and pseudogap in Gaudin-Yang Fermi gases
title_short Low-dimensional fluctuations and pseudogap in Gaudin-Yang Fermi gases
title_sort low dimensional fluctuations and pseudogap in gaudin yang fermi gases
url http://doi.org/10.1103/PhysRevResearch.2.033441
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