论文标题

Majorana晶格量表理论:对称性破坏,拓扑顺序和交织订单

Majorana lattice gauge theory: symmetry breaking, topological order and intertwined orders all in one

论文作者

Miao, Jian-Jian

论文摘要

纯粹研究正方形晶格上的Majorana晶格量表理论,经过深入研究。确切地获得基态,并表现出对称性断裂和拓扑顺序的共存。 $ z_2 $对称性域的破坏导致缠绕的反铁磁性旋转顺序和$η$ - 水上订单。拓扑顺序反映在$ Z_2 $量子旋转液体基态轨迹场状态。 Majorana晶格仪理论也可以看作是在Majorana-Zero-Mode晶格上实现的相互作用Majorana Fermion模型。

The Majorana lattice gauge theory purely composed of Majorana fermions on square lattice is studied throughly. The ground state is obtained exactly and exhibits the coexistence of symmetry breaking and topological order. The $Z_2$ symmetry breaking of matter fields leads to the intertwined antiferromagnetic spin order and $η$-pairing order. The topological order is reflected in the $Z_2$ quantum spin liquid ground state of gauge fields. The Majorana lattice gauge theory, alternatively can be viewed as interacting Majorana fermion model, is possibly realized on a Majorana-zero-mode lattice.

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