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.

arXiv comment7 pages, 5 figures

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Cited by in corpus (2)

• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture