Newly-discovered superconductor UTe$_2$ is a strong contender for a topological spin-triplet state wherein a multi-component order parameter arises from two nearly-degenerate superconducting states. A key issue is whether both of these states intrinsically exist at ambient pressure. Through thermal expansion and calorimetry, we show that UTe$_2$ at ambient conditions exhibits two detectable transitions only in some samples, and the size of the thermal expansion jump at each transition varies when the measurement is performed in different regions of the sample. This result indicates that the two transitions arise from two spatially separated regions that are inhomogeneously mixed throughout the volume of the sample, each with a discrete superconducting transition temperature (T$_c$). Notably, samples with higher T$_c$ only show a single transition at ambient pressure. Above 0.3 GPa, however, two transitions are invariably observed in ac calorimetry. Our results not only point to a nearly vertical line in the pressure-temperature phase diagram but also provide a unified scenario for the sample dependence of UTe$_{2}$.
Spatially Inhomogeneous Competition between Superconductivity and the Charge Density Wave in YBa$_2$Cu$_3$O$_{6.67}$
高温超导体YBa $_2$ Cu $_3$ O $_{7-x}$（YBCO）中的电荷密度波具有两种不同的有序化倾向，它们的有序化倾向由它们的$c$轴相关性区分。这些对应于相邻CuO $_2$双层中CDW之间的铁-（F-CDW）和反铁-（AF-CDW）耦合。这一发现引发了一些基本问题。例如，超导性如何调整到两个相互竞争的秩序，这两个秩序中的任何一个负责电子重建？本文用高能X射线衍射研究了$_2$ O $_{6.67}$随磁场和温度的变化。我们发现，区域的样品F-CDW相关抑制超导电性更强烈地比那些与AF-CDW相关。这意味着存在非均匀超导状态，其中某些区域显示出弱或脆弱的超导形式。通过对F-CDW和AF-CDW关联长度的比较，进一步得出结论，F-CDW有序是足够长的范围来修改电子结构。因此，我们的研究表明，F-CDW关联的超导和正常状态下的低掺杂YBCO的性质有重要的影响。
Superconductivity and inhomogeneous charge-ordered state in the two-Dimensional Hubbard model -- Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model IV
Inhomogeneous magnetic phases: a LOFF-like phase in Sr3Ru2O7
Sr 3Ru 2 O 7的相图包含一个变磁性转变，该转变分叉以封闭具有有趣特性的异常相-具有各向异性的大电阻率，打破了晶格对称性。我们提出这是空间非均匀超导Fulde-Ferrel-Larkin-Ovchinnikov态的磁模拟。我们表明-通过金斯堡-朗道扩展横向于所施加的磁场的磁化强度可以成为空间不均匀的-与电子能带色散的斯通纳模型可以重现这种相图和运输行为。
Universal scaling of spatially extended zero modes in inhomogeneous SSH chains
Laboratoire d’Annecy de Physique Théorique (LAPTh), CNRS, Université Savoie Mont-Blanc（萨瓦蒙布朗大学）；Institut Denis-Poisson, CNRS, Université de Tours–Université d’Orléans（图尔大学与奥尔良大学）；Centre de Recherches Mathématiques, Université de Montréal（蒙特利尔大学）；Département de Physique, Université de Montréal（蒙特利尔大学）
Revisiting the spatially inhomogeneous condensates in the $(1 + 1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit
本文利用无限 N 极限下的玻色子两点函数对 (1+1) 维手征 Gross-Neveu 模型进行对称相稳定性分析，在有限温度及夸克、手征化学势下识别非均匀手征破缺相边界，并揭示其与 Gross-Neveu 模型旋节线的关系。
