标题： 具有离散对称性的自旋梯子中的奇异相变，其模拟了二维的自旋-1/2玻色子 显示英文标题

标题： Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions

摘要： 我们引入了一个具有离散对称性的自旋梯子，旨在模拟二维半满的自旋-1/2玻色子系统。 利用诸如拓扑缺陷结构之类的全局性质，我们建立了这两个系统之间的对应关系，并构建了对称性和算符的字典。 特别是平移不变性导致两个系统都存在Lieb-Schultz-Mattis约束，从而产生奇异的脱禁量子临界点。 随后，我们详细研究了自旋梯子。 一个精确的对偶变换将其映射到由三个部分子组成的 $\mathbb{Z}_2$ 规范理论，类似于二维自旋-1/2玻色子系统中的U(1)规范理论。 通过自旋与部分子之间的映射，我们构造了所有相关对称破缺相的精确可解模型，并分析了它们的转变。 我们进一步将我们的精确分析与传统的部分子规范理论联系起来。 显示英文摘要

摘要： We introduce a spin ladder with discrete symmetries designed to emulate a two-dimensional spin-1/2 boson system at half-filling. Using global properties, such as the structure of topological defects, we establish a correspondence between the two systems and construct a dictionary of symmetries and operators. In particular, translation invariance leads to Lieb-Schultz-Mattis constraints for both systems, resulting in exotic deconfined quantum critical points. Subsequently, we study the spin ladder in detail. An exact duality transformation maps it onto a $\mathbb{Z}_2$ gauge theory of three partons, analogous to the U(1) gauge theory of chargons and spinons in two-dimensional spin-1/2 boson systems. With the mapping between spins and partons, we construct exactly solvable models for all pertinent symmetry-breaking phases and analyze their transitions. We further make connections between our exact analysis and conventional parton gauge theories.