Competing orders in the Hofstadter t-J model
Abstract
The Hofstadter model describes non-interacting fermions on a lattice in the presence of an external magnetic field. Motivated by the plethora of solid-state phases emerging from electron interactions, we consider an interacting version of the Hofstadter model including a Hubbard repulsion U. We investigate this model in the large-U limit corresponding to a t-J Hamiltonian with an external (orbital) magnetic field. By using renormalized mean field theory supplemented by exact diagonalization calculations of small clusters, we find evidence for competing symmetry-breaking phases, exhibiting (possibly co-existing) charge, bond and superconducting orders. Topological properties of the states are also investigated and some of our results are compared to related experiments involving ultra-cold atoms loaded on optical lattices in the presence of a synthetic gauge field.
Keywords
Cite
@article{arxiv.1710.10103,
title = {Competing orders in the Hofstadter t-J model},
author = {Wei-Lin Tu and Frank Schindler and Titus Neupert and Didier Poilblanc},
journal= {arXiv preprint arXiv:1710.10103},
year = {2019}
}
Comments
12 pages, 8 figures, accepted manuscript