Generalized lattice Wilson-Dirac fermions in (1+1) dimensions for atomic quantum simulation and topological phases. (arXiv:1801.00439v1 [cond-mat.quant-gas])

In this paper, one-dimensional generalized lattice Wilson-Dirac fermion model
is proposed and its topological phase structure is studied. We propose
experimental setups to realize an atomic quantum simulator for the model, in
which two parallel optical lattices with the same tilt for trapping cold
fermion atoms and laser-assisted hopping schema are used. Interestingly, we
find in broad regime of the parameter space, the model exhibits nontrivial
topological phases characterized by zero-energy edge states and a winding
number. Some of phase diagrams have close resemblance with the ones of the
Haldane model. We also discuss a topological charge pumping and a lattice
Gross-Neveu model in the system of the generalized Wilson-Dirac fermions.

Article web page: