%0 Conference Paper
%F Oral
%T Phase structure of topological insulators by lattice strong-coupling expansion
%+ University of Texas at Austin [Austin]
%+ RIKEN - Institute of Physical and Chemical Research [Japon] (RIKEN)
%+ Institut de Physique ThÃ©orique - UMR CNRS 3681 (IPHT)
%+ WPI Advanced Institute for Materials Research (WPI-AIMR)
%+ Kozo Keikaku Engineering Inc.
%A Araki, Yasufumi
%A Kimura, Taro
%A Sekine, Akihiko
%A Nomura, Kentaro
%A Nakano, Takashi Z.
%Z Grants-in-Aid for Scientific Research (No. 24740211 and No. 25103703) JAPAN (MEXT)
%Z 7 pages, 2 figures. http://pos.sissa.it/
%< avec comitÃ© de lecture
%3 http://pos.sissa.it/
%B 31st International Symposium on Lattice Field Theory - LATTICE 2013
%C Mainz, Germany
%Y POS Online
%S POS (Lattice2013)
%V 2013
%P 50
%8 2013-07-29
%D 2013
%Z 1311.3973
%K Strongly Correlated Electrons (cond-mat.str-el)
%K Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
%K High Energy Physics - Lattice (hep-lat)
%K High Energy Physics - Theory (hep-th)
%Z Physics [physics]/High Energy Physics - Lattice [hep-lat]
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Conference papers
%X 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 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.
%G English
%Z JSPS Postdoctoral Fellowship for Research Abroad (No.25-56)
%Z JSPS Research Fellowship for Young Scientists (No.23-4302)
%2 https://cea.hal.science/cel-01335764/document
%2 https://cea.hal.science/cel-01335764/file/1311.3973v1.pdf
%L cel-01335764
%U https://cea.hal.science/cel-01335764
%~ CEA
%~ CNRS
%~ DSM-IPHT
%~ CEA-DRF
%~ GS-MATHEMATIQUES
%~ GS-PHYSIQUE