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Competing orders in the Hofstadter $t-J$ model


Tu, Wei-Lin; Schindler, Frank; Neupert, Titus; Poilblanc, Didier (2018). Competing orders in the Hofstadter $t-J$ model. Physical review. B, 97(3):035154.

Abstract

The Hofstadter model describes noninteracting 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 coexisting) charge, bond, and superconducting orders. Topological properties of the states are also investigated, and some of our results are compared to related experiments involving ultracold atoms loaded on optical lattices in the presence of a synthetic gauge field.

Abstract

The Hofstadter model describes noninteracting 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 coexisting) charge, bond, and superconducting orders. Topological properties of the states are also investigated, and some of our results are compared to related experiments involving ultracold atoms loaded on optical lattices in the presence of a synthetic gauge field.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:24 January 2018
Deposited On:25 Jan 2019 13:16
Last Modified:25 Sep 2019 00:06
Publisher:American Physical Society
ISSN:2469-9950
OA Status:Green
Publisher DOI:https://doi.org/10.1103/physrevb.97.035154
Project Information:
  • : FunderSNSF
  • : Grant ID200021_169061
  • : Project TitleAnyons in topological matter: From axiomatic field theory to advanced materials

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