论文标题
衡量基塔夫链
Gauging the Kitaev chain
论文作者
论文摘要
我们评估了基塔夫链的费米昂均衡对称性。尽管该模型的大部分变成了在倾斜的田地上旋转的稳定链，但在全球费米昂奇偶校验对称性的边界附近，衡量了，导致局部量规不变的Majorana运营商。在没有涡旋的情况下，希格斯相表现出与基塔夫链不同的受费米对称性保护拓扑（SPT）的顺序。此外，即使在存在涡流的情况下，脱合相的相也可以稳定。我们还对一个插值的模型进行了全面的研究，该模型在普通和仪表的基塔夫链之间进行了插值。这展示了丰富的量子关键性，并照亮了希格斯阶段的拓扑性质。即使在没有超导术语的情况下，测量量也会导致SPT相，由于新兴的异常，该阶段本质上是无处不在的。
We gauge the fermion parity symmetry of the Kitaev chain. While the bulk of the model becomes an Ising chain of gauge-invariant spins in a tilted field, near the boundaries the global fermion parity symmetry survives gauging, leading to local gauge-invariant Majorana operators. In the absence of vortices, the Higgs phase exhibits fermionic symmetry-protected topological (SPT) order distinct from the Kitaev chain. Moreover, the deconfined phase can be stable even in the presence of vortices. We also undertake a comprehensive study of a gently gauged model which interpolates between the ordinary and gauged Kitaev chains. This showcases rich quantum criticality and illuminates the topological nature of the Higgs phase. Even in the absence of superconducting terms, gauging leads to an SPT phase which is intrinsically gapless due to an emergent anomaly.
