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Strong Coupling Expansion in a Correlated Three-Dimensional Topological Insulator

Strongly Correlated Electrons 2013-05-06 v2 Mesoscale and Nanoscale Physics High Energy Physics - Lattice

Abstract

Motivated by recent studies which show that topological phases may emerge in strongly correlated electron systems, we theoretically study the strong electron correlation effect in a three-dimensional topological insulator, which effective Hamiltonian can be described by the Wilson fermions. We adopt 1/r long-range Coulomb interaction as the interaction between the bulk electrons. Based on the U(1) lattice gauge theory, the strong coupling expansion is applied by assuming that the effective interaction is strong. It is shown that the effect of the Coulomb interaction is equivalent to the renormalization of the bare mass of the Wilson fermions, and that as a result, the topological insulator phase survives in the strong coupling limit.

Keywords

Cite

@article{arxiv.1301.4424,
  title  = {Strong Coupling Expansion in a Correlated Three-Dimensional Topological Insulator},
  author = {Akihiko Sekine and Takashi Z. Nakano and Yasufumi Araki and Kentaro Nomura},
  journal= {arXiv preprint arXiv:1301.4424},
  year   = {2013}
}

Comments

11 pages, 3 figures