论文标题
$ \ mathbb {z} _ {2} $ gauge理论中的无旋转费
Spinless fermions in a $\mathbb{Z}_{2}$ gauge theory on the triangular ladder
论文作者
论文摘要
提出了一项无旋物质费米子与约束的$ \ mathbb {z} _ {2} $ rattice量规理论的研究。与平方晶格的先前分析相比，三角形单位细胞和梯子几何形状强烈改变了物理。在静态情况下，空和填充的梯子的均匀和奇数理论是相同的。由于不存在周期性边界条件，由于电耦合而引起的量规场动力学受到了巨大的影响，从而使反封码过程一般为跨界，而仅用于装饰耦合的量子相变（QPT）。在有限的掺杂和静态情况下，半填充的交错通量绝缘子和消失的磁能在高架磁能竞争中与均匀的通量金属竞争。至于方形晶格，发现将单个QPT与电动耦合相比，发现了一个狭窄的费米子二聚体气体。但是，在限制相中的二聚体共振仅是二阶过程，可能会降低分离大磁能的趋势。获得的结果采用了$ \ mathbb {z} _ {2} $量规数的纯旋转模型的映射，从平方晶格进行了调整，并用于其数值目的。提供了中间耦合方案中量子相的全球扫描。
A study of spinless matter fermions coupled to a constrained $\mathbb{Z}_{2}$ lattice gauge theory on a triangular ladder is presented. The triangular unit cell and the ladder geometry strongly modify the physics, as compared to previous analysis on the square lattice. In the static case, the even and odd gauge theories for the empty and filled ladder are identical. The gauge field dynamics due to the electric coupling is drastically influenced by the absence of periodic boundary conditions, rendering the deconfinement-confinement process a crossover in general and a quantum phase transition (QPT) only for decorated couplings. At finite doping and in the static case, a staggered flux insulator at half filling and vanishing magnetic energy competes with a uniform flux metal at elevated magnetic energy. As for the square lattice, a single QPT into a confined fermionic dimer gas is found versus electric coupling. Dimer resonances in the confined phase are however a second order process only, likely reducing the tendency to phase separate for large magnetic energy. The results obtained employ a mapping to a pure spin model of $\mathbb{Z}_{2}$ gauge-invariant moments, adapted from the square lattice, and density matrix renormalization group calculations thereof for numerical purposes. Global scans of the quantum phases in the intermediate coupling regime are provided.
