Two-fluid coexistence and phase separation in a one-dimensional model with pair hopping and density interactions,Physical Review B

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Two-fluid coexistence and phase separation in a one-dimensional model with pair hopping and density interactions
Physical Review B ( IF 3.2 ) Pub Date : 2021-09-22 , DOI: 10.1103/physrevb.104.094521
Lorenzo Gotta ₁ , Leonardo Mazza ₁ , Pascal Simon ₂ , Guillaume Roux ₁

Affiliation

We compute the phase diagram of a one-dimensional model of spinless fermions with pair hopping and nearest-neighbor interaction, first introduced by Ruhman and Altman, using the density-matrix renormalization group combined with various analytical approaches. Although the main phases are a Luttinger liquid of fermions and a Luttinger liquid of pairs, we also find remarkable phases in which only a fraction of the fermions are paired. In such a case, two situations arise: either fermions and pairs coexist spatially in a two-fluid mixture, or they are spatially segregated leading to phase separation. These results are supported by several analytical models that describe in an accurate way various relevant cuts of the phase diagram. Last, we identify relevant microscopic observables that capture the presence of these two fluids: while originally introduced in a phenomenological way, they support a wider application of two-fluid models for describing pairing phenomena.

中文翻译：

具有对跳跃和密度相互作用的一维模型中的两种流体共存和相分离

我们使用密度矩阵重整化群结合各种分析方法，计算了由 Ruhman 和 Altman 首次引入的具有对跳跃和最近邻相互作用的无自旋费米子的一维模型的相图。虽然主要的相是费米子的卢廷格液体和成对的卢廷格液体，但我们也发现了一些显着的相，其中只有一小部分费米子是成对的。在这种情况下，会出现两种情况：要么费米子和费米子对在两种流体混合物中空间共存，要么它们在空间上分离导致相分离。这些结果得到了几个分析模型的支持，这些模型以准确的方式描述了相图的各种相关切割。最后，我们确定了捕捉这两种流体存在的相关微观观察：

更新日期：2021-09-22

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