Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas,Physical Review Letters

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Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-12 , DOI: 10.1103/physrevlett.129.076403
Yuan-Yao He _{1,

2,

3} , Hao Shi ₄ , Shiwei Zhang ₃

Affiliation

We perform large-scale, numerically exact calculations on the two-dimensional interacting Fermi gas with a contact attraction. Reaching much larger lattice sizes and lower temperatures than previously possible, we determine systematically the finite-temperature phase diagram of the Berezinskii-Kosterlitz-Thouless (BKT) transitions for interaction strengths ranging from BCS to crossover to BEC regimes. The evolutions of the pairing wave functions and the fermion and Cooper pair momentum distributions with temperature are accurately characterized. In the crossover regime, we find that the contact has a nonmonotonic temperature dependence, first increasing as temperature is lowered, and then showing a slight decline below the BKT transition temperature to approach the ground-state value from above.

中文翻译：

二维费米气体中 Berezinskii-Kosterlitz-Thouless 跃迁和温度相关性质的精密多体研究

我们对具有接触吸引力的二维相互作用费米气体进行大规模、数值精确的计算。达到比以前更大的晶格尺寸和更低的温度，我们系统地确定了 Berezinskii-Kosterlitz-Thouless (BKT) 转变的有限温度相图，用于从 BCS 到交叉到 BEC 方案的相互作用强度。精确地表征了配对波函数的演变以及费米子和库珀对动量分布随温度的变化。在交叉状态下，我们发现接触具有非单调的温度依赖性，首先随着温度的降低而增加，然后在低于 BKT 转变温度时略有下降，从上方接近基态值。

更新日期：2022-08-12

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