https://cea.hal.science/cel-01335764Araki, YasufumiYasufumiArakiUniversity of Texas at Austin [Austin]Kimura, TaroTaroKimuraRIKEN - RIKEN - Institute of Physical and Chemical Research [Japon]IPHT - Institut de Physique Théorique - UMR CNRS 3681 - CEA - Commissariat à l'énergie atomique et aux énergies alternatives - Université Paris-Saclay - CNRS - Centre National de la Recherche ScientifiqueSekine, AkihikoAkihikoSekineWPI-AIMR - WPI Advanced Institute for Materials Research - Tohoku University [Sendai]Nomura, KentaroKentaroNomuraWPI-AIMR - WPI Advanced Institute for Materials Research - Tohoku University [Sendai]Nakano, Takashi Z.Takashi Z.NakanoKozo Keikaku Engineering Inc. - Kozo Keikaku Engineering Inc.Phase structure of topological insulators by lattice strong-coupling expansionHAL CCSD2013Strongly Correlated Electrons (cond-mat.str-el)Mesoscale and Nanoscale Physics (cond-mat.mes-hall)High Energy Physics - Lattice (hep-lat)High Energy Physics - Theory (hep-th)[PHYS.HLAT] Physics [physics]/High Energy Physics - Lattice [hep-lat][PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]De Laborderie, EmmanuellePOS Online 2016-06-22 12:20:232023-03-24 14:53:022016-06-22 15:35:35enConference papershttps://cea.hal.science/cel-01335764/documenttext/html; charset=utf-81The 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 analyze 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 fermions. 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.