Phase structure of topological insulators by lattice strong-coupling expansion

Yasufumi Araki, Taro Kimura, Akihiko Sekine, Kentaro Nomura, Takashi Z. Nakano

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The effect of the strong electron correlation on the topological phase structure of 2-dimensional (2D) and 3D topological insulators is investigated, in terms of lattice gauge theory. The effective model for noninteracting system is constructed similarly to the lattice fermions with the Wilson term, corresponding to the spin-orbit coupling. Introducing the electron-electron interaction as the coupling to the gauge field, we analyzed the behavior of emergent orders by the strong coupling expansion methods. We show that there appears a new phase with the in-plane antiferromagnetic order in the 2D topological insulator, which is similar to the so-called "Aoki phase" in lattice QCD with Wilson ferions. In the 3D case, on the other hand, there does not appear such a new phase, and the electron correlation results in the shift of the phase boundary between the topological phase and the normal phase.

Original languageEnglish
Article number050
JournalUnknown Journal
Publication statusPublished - 2013
Externally publishedYes

ASJC Scopus subject areas

  • General

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    Araki, Y., Kimura, T., Sekine, A., Nomura, K., & Nakano, T. Z. (2013). Phase structure of topological insulators by lattice strong-coupling expansion. Unknown Journal, 29-July-2013, [050].