BCS-BEC crossover in atomic Fermi gases in quasi-two-dimensional Lieb lattices: Effects of flat band and finite temperature

Fuente: arXiv
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Autori principali: Deng, Hao, Sun, Lin, Li, Chuping, Wu, Yuxuan, Wu, Junru, Chen, Qijin
Natura: Preprint
Pubblicazione: 2024
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author Deng, Hao
Sun, Lin
Li, Chuping
Wu, Yuxuan
Wu, Junru
Chen, Qijin
author_facet Deng, Hao
Sun, Lin
Li, Chuping
Wu, Yuxuan
Wu, Junru
Chen, Qijin
contents We investigate the finite-temperature superfluid behavior of ultracold atomic Fermi gases in quasi-two-dimensional Lieb lattices with a short-range attractive interaction, using a pairing fluctuation theory within the BCS-BEC crossover framework. We find that the presence of a flat band, along with van Hove singularities, leads to exotic quantum phenomena. As the Fermi level enters the flat band, both the gap and the superfluid transition temperature $T_c$ as a function of interaction change from a conventional exponential behavior into an unusual power law, and the evolution of superfluid densities with temperature also follows a power law even at weak interactions. The quantum geometric effects, manifested by an enhanced effective pair hopping integral, may contribute significantly to both $T_c$ and the superfluidities. As the chemical potential crosses the van Hove singularities in the weak interaction regime, the nature of pairing changes between particle-like and hole-like. A pair density wave state emerges at high densities with a relatively strong interaction strength.
format Preprint
id arxiv_https___arxiv_org_abs_2401_02990
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle BCS-BEC crossover in atomic Fermi gases in quasi-two-dimensional Lieb lattices: Effects of flat band and finite temperature
Deng, Hao
Sun, Lin
Li, Chuping
Wu, Yuxuan
Wu, Junru
Chen, Qijin
Quantum Gases
We investigate the finite-temperature superfluid behavior of ultracold atomic Fermi gases in quasi-two-dimensional Lieb lattices with a short-range attractive interaction, using a pairing fluctuation theory within the BCS-BEC crossover framework. We find that the presence of a flat band, along with van Hove singularities, leads to exotic quantum phenomena. As the Fermi level enters the flat band, both the gap and the superfluid transition temperature $T_c$ as a function of interaction change from a conventional exponential behavior into an unusual power law, and the evolution of superfluid densities with temperature also follows a power law even at weak interactions. The quantum geometric effects, manifested by an enhanced effective pair hopping integral, may contribute significantly to both $T_c$ and the superfluidities. As the chemical potential crosses the van Hove singularities in the weak interaction regime, the nature of pairing changes between particle-like and hole-like. A pair density wave state emerges at high densities with a relatively strong interaction strength.
title BCS-BEC crossover in atomic Fermi gases in quasi-two-dimensional Lieb lattices: Effects of flat band and finite temperature
topic Quantum Gases
url https://arxiv.org/abs/2401.02990