论文标题
通过拓扑转移引起的量化运输，耦合的一维晶格系统
Quantized transport induced by topology transfer between coupled one-dimensional lattice systems
论文作者
论文摘要
我们表明，一维（1D）绝缘体中的拓扑泵可以在非交互式费米子的辅助链中诱导严格量化的运输，该链条弱耦合到第一个。运输电荷取决于单粒子相关的协方差矩阵给出的绝缘体虚构的哈密顿量的整数拓扑不变。如果原始系统由非相互作用的费米亚组成，则该数字与原始系统的TKNN（Tholess，Kohmoto，Nightinghale，den Nijs）相同，因此耦合会导致拓扑转移到辅助链。当扩展到具有相互作用的粒子（不存在TKNN数字的粒子）时，辅助链中的转运电荷定义了相互作用系统的拓扑不变。在某些情况下，这种不变的是NIU，Thouless和Wu（NTW）引入的TKNN数的多体概括。我们说明了一半填充时非相互作用费米斯的稻米模型的拓扑转移，以及四分之一填充时扩展的超级晶格玻色纸模型。在后一种情况下，诱导的电荷泵是分数的。
We show that a topological pump in a one-dimensional (1D) insulator can induce a strictly quantized transport in an auxiliary chain of non-interacting fermions weakly coupled to the first. The transported charge is determined by an integer topological invariant of the ficticious Hamiltonian of the insulator, given by the covariance matrix of single-particle correlations. If the original system consists of non-interacting fermions, this number is identical to the TKNN (Thouless, Kohmoto, Nightinghale, den Nijs) invariant of the original system and thus the coupling induces a transfer of topology to the auxiliary chain. When extended to particles with interactions, for which the TKNN number does not exist, the transported charge in the auxiliary chain defines a topological invariant for the interacting system. In certain cases this invariant agrees with the many-body generalization of the TKNN number introduced by Niu, Thouless, and Wu (NTW). We illustrate the topology transfer to the auxiliary system for the Rice-Mele model of non-interacting fermions at half filling and the extended superlattice Bose-Hubbard model at quarter filling. In the latter case the induced charge pump is fractional.
