标题： Kitaev模型中具有空间调制超导配对相位的电子密度和可压缩性 显示英文标题

标题： Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing

摘要： 一维Kitaev链中流动的电流在其超导配对中诱导出空间调制，其特征由波矢量$Q$表征，已知该波矢量会诱导两种拓扑相变：一种是带隙相之间的传统带拓扑相变，另一种是与费米面拓扑相关的Lifshitz相变，并导致无能隙的超导相。 我们研究了电子密度$\rho$和可压缩性$\kappa$在两种类型相变中的行为，作为模型参数的函数。 我们发现，$\rho$作为$Q$和化学势$\mu$函数的行为能够帮助推断基态相图。 此外，作为 $\mu$ 函数的可压缩性 $\kappa$ 的分析能够区分这两个转变：当 $\kappa$ 在跨越能带拓扑转变时表现出对称发散，它在跨越Lifshitz转变时则显示出不对称跳跃。 显示英文摘要

摘要： A current flowing through a one-dimensional Kitaev chain induces a spatial modulation in its superconducting pairing, characterized by a wave vector $Q$, which is known to induce two types of topological phase transitions: one is the customary band topology transition between gapped phases, while the other is a Lifshitz transition related to the Fermi surface topology and leading to a gapless superconducting phase. We investigate the behavior of the electron density $\rho$ and the compressibility $\kappa$ across the two types of transitions, as a function of the model parameters. We find that the behavior of $\rho$ as a function of $Q$ and chemical potential $\mu$ enables one to infer the ground state phase diagram. Moreover, the analysis of the compressibility $\kappa$ as a function of $\mu$ enables one to distinguish the two transitions: While $\kappa$ exhibits a symmetric divergence across the band topology transition, it displays an asymmetric jump across the Lifshitz transition.