# 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…

## 3 Citations

### Finite-Temperature Topological Invariant for Interacting Systems.

- PhysicsPhysical review letters
- 2020

The ensemble geometric phase is generalized to finite-temperature states of interacting systems in one spatial dimension (1D) and its value at finite temperatures is identical to that of the ground state below some critical temperature T_{c} larger than the many-body gap.

### Chern number and Berry curvature for Gaussian mixed states of fermions

- PhysicsPhysical Review B
- 2021

We generalize the concept of topological invariants for mixed states based on the ensemble geometric phase (EGP) introduced for one-dimensional lattice models to two dimensions. In contrast to the…

### Quantized single-particle Thouless pump induced by topology transfer from a Chern insulator at finite temperature

- Physics
- 2021

Quantized particle or spin transport upon cyclic parameter variations, determined by topological invariants, is a key signature of Chern insulators in the ground state. While measurable many-body…

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