Higher first Chern numbers in one dimensional Bose-Fermi mixtures
Abstract
We propose to use a one-dimensional system consisting of identical fermions in a periodically driven lattice immersed in a Bose gas, to realise topological superfluid phases with Chern numbers larger than 1. The bosons mediate an attractive induced interaction between the fermions, and we derive a simple formula to analyse the topological properties of the resulting pairing. When the coherence length of the bosons is large compared to the lattice spacing and there is a significant next-nearest neighbour hopping for the fermions, the system can realise a superfluid with Chern number +/- 2. We show that this phase is stable in a large region of the phase diagram as a function of the filling fraction of the fermions and the coherence length of the bosons. Cold atomic gases offer the possibility to realise the proposed system using well-known experimental techniques.
Cite
@article{arxiv.1710.08715,
title = {Higher first Chern numbers in one dimensional Bose-Fermi mixtures},
author = {Kristian Knakkergaard Nielsen and Zhigang Wu and Georg M. Bruun},
journal= {arXiv preprint arXiv:1710.08715},
year = {2018}
}
Comments
7 pages, 5 figures