论文标题
在驱动系统中的合成厅效应的耦合层结构
Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
论文作者
论文摘要
准二极管驱动的效费系统可以支持未在平衡中实现的拓扑阶段。费米子位于散装中，但在边缘量化了量化的能量电流。这些阶段是通过抽象分类发现的，很少有微观模型。我们为这些阶段的紧密结合模型开发了$ d \ in \ {1,2 \} $空间尺寸的耦合层构造，并具有任意数量的不超量驱动频率$ d $。这些模型表现出与稳定状态下的合成二维量子霍尔效应相关的量化响应。 $（d+d）的相图的数值研究=（1+2）$显示：（i）通过尖锐的相变隔开的稳健拓扑和微不足道的阶段； （ii）电荷扩散和过渡时驱动器之间的半耗能电流； （iii）在引入弱相互作用时仍然存在的长寿命拓扑电流。
Quasiperiodically driven fermionic systems can support topological phases not realized in equilibrium. The fermions are localized in the bulk, but support quantized energy currents at the edge. These phases were discovered through an abstract classification, and few microscopic models exist. We develop a coupled layer construction for tight-binding models of these phases in $d\in\{1,2\}$ spatial dimensions, with any number of incommensurate drive frequencies $D$. The models exhibit quantized responses associated with synthetic two- and four-dimensional quantum Hall effects in the steady state. A numerical study of the phase diagram for $(d+D) = (1+2)$ shows: (i) robust topological and trivial phases separated by a sharp phase transition; (ii) charge diffusion and a half-integer energy current between the drives at the transition; and (iii) a long-lived topological energy current which remains present when weak interactions are introduced.
