论文标题
拓扑阻塞了原子限制,通过消灭狄拉克费米子来限制
Topological obstructed atomic limit by annihilating Dirac fermions
论文作者
论文摘要
我们表明,歼灭一对狄拉克·费米斯(Dirac Fermions)意味着从关键的半金属相到阻塞的原子极限(OAL)绝缘体相,而不是微不足道的绝缘子的拓扑过渡。这表明这是由于波函数阶段的分支切割而发生的,从而导致沿某些方向的非琐碎Zak相。为此,我们研究了他们的z $ _2 $不变性,还使用纠缠熵研究了相变。我们使用低能量的汉密尔顿人和模型系统的数值结果来显示这种效果。这些转变在逼真的材料中观察到,包括应变石墨烯和弯曲的蜂窝组V(SB/AS)。
We show that annihilating a pair of Dirac fermions implies a topological transition from the critical semi-metallic phase to an Obstructed Atomic Limit (OAL) insulator phase instead of a trivial insulator. This is shown to happen because of branch-cuts in the phase of the wave functions, leading to non trivial Zak phase along certain directions. To this end, we study their Z$_2$ invariant and also study the phase transition using Entanglement Entropy. We use low energy Hamiltonians and numerical result from model systems to show this effect. These transitions are observed in realistic materials including strained graphene and buckled honeycomb group-V (Sb/As).