标题： 双曲空间中受挫伊辛模型的经典自旋液体 显示英文标题

标题： Classical spin liquids from frustrated Ising models in hyperbolic space

摘要： 反铁磁伊辛模型在受挫晶格上可以实现经典的自旋液体，具有高度简并的基态，以及可能的分数化激发和新兴规范场。 受近期负曲率空间中多体系统兴趣的推动，我们研究了双曲受挫伊辛模型。 具体而言，我们考虑二维双曲空间中具有奇数长度环路的镶嵌上的最近邻伊辛模型。 对于具有开边界条件的有限系统，我们精确地确定了基态简并度，并进行了广泛的有限温度蒙特卡洛模拟以获得热力学数据以及关联函数。 我们展示了构成系统很大一部分的边界的形状可以用来控制低能态：根据边界的不同，我们发现有序或无序的基态。 我们的结果展示了几何受挫如何在弯曲空间中产生经典自旋液体。 显示英文摘要

摘要： Antiferromagnetic Ising models on frustrated lattices can realize classical spin liquids, with highly degenerate ground states and, possibly, fractionalized excitations and emergent gauge fields. Motivated by the recent interest in many-body system in negatively curved space, we study hyperbolic frustrated Ising models. Specifically, we consider nearest-neighbor Ising models on tesselations with odd-length loops in two-dimensional hyperbolic space. For finite systems with open boundaries we determine the ground-state degeneracy exactly, and we perform extensive finite-temperature Monte-Carlo simulations to obtain thermodynamic data as well as correlation functions. We show that the shape of the boundary, constituting an extensive part of the system, can be used to control low-energy states: Depending on the boundary, we find ordered or disordered ground states. Our results demonstrate how geometric frustration acts in curved space to produce classical spin liquids.