论文标题
非线性参数规程耦合方法用于通用泵的概括和$ -1 $ - 形式异常
Nonlinear parameter-gauge coupling approach to generalization of generalized Thouless pumps and $-1$-form anomaly
论文作者
论文摘要
我们研究了一般$ u（1）$ - 对称的非基因散发系统的一般参数空间的非平凡拓扑，及其对任意维度中传输属性的后果。通过非线性参数规范拓扑响应理论，我们发现这种非平凡拓扑可以在存在背景通量存在的情况下对电荷传输施加量化约束，或者更普遍地是一般维度的Instantons，我们的结果概括了无泵及其较高的尺寸概括。我们还表明，这些非平凡的运输特性与非常规量子异常有关，该量子异常概括了$ -1 $ - 形式异常。这种异常施加了各种空间界面或时间依赖的系统演化的非扰动插入。
We study the nontrivial topology of the parameter space of general $U(1)$-symmetric fermionic non-degenerately gapped system and its consequences on the transport properties in arbitrary dimensions. By a nonlinear parameter-gauge topological response theory, we find that such nontrivial topology can impose quantization constraints on the charge transport in the presence of background fluxes or, more generally, instantons in general dimensions and our result generalizes the Thouless pump and its higher dimensional generalizations. We also show that these nontrivial transport properties are related to an unconventional quantum anomaly, which generalizes $-1$-form anomalies. This anomaly imposes non-perturbative ingappabilities of various types of spatial interfaces or time-dependent system evolution.
