Quantized transport induced by topology transfer between coupled one-dimensional lattice systems

@article{Wawer2020QuantizedTI,
  title={Quantized transport induced by topology transfer between coupled one-dimensional lattice systems},
  author={Lukas Wawer and Rui-jie Li and Michael Fleischhauer},
  journal={Physical Review A},
  year={2020}
}
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… 

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