标题： 费米物质与 $\mathbb{Z}_2$-规范场耦合的 $π$-通量相中的任意子 显示英文标题

标题： Anyons in the $π$-flux phase of fermionic matter coupled to a $\mathbb{Z}_2$-gauge field

摘要： 我们考虑一个由弱相互作用的具有自旋的格点费米子与动态的$\mathbb{Z}_2$规范场耦合的系统。 基态位于每个晶胞上均匀的$\pi$通量的区域，单极子是大质量的。 在费米子存在交替质量的情况下，这在大环面上产生了一个完全禁带的四维基态空间。 它是拓扑有序的。 通过考虑绝热的$\pi$通量插入，我们构造了带有色散的单极子激发，并表明它们与费米子激发的编织行为与表面码相同。 显示英文摘要

摘要： We consider a system of weakly interacting spinful lattice fermions coupled to a dynamical $\mathbb{Z}_2$ gauge field. The ground state lies in the sector of a uniform $\pi$-flux per plaquette and the monopoles are massive. In the presence of a staggered mass for the fermions, this yields a fully gapped, four-dimensional ground state space on large tori. It is topologically ordered. By considering adiabatic $\pi$-flux insertion, we construct dressed monopole excitations and show that their braiding with the fermionic excitations are those of the toric code.