Fermionic SymmetryProtected Topological Phase in a TwoDimensional Hubbard Model
We study the twodimensional (2D) Hubbard model using exact diagonalization for spin1/2 fermions on the triangular and honeycomb lattices decorated with a single hexagon per site. In certain parameter ranges, the Hubbard model maps to a quantum compass model on those lattices. On the triangular lattice, the compass model exhibits collinear stripe antiferromagnetism, implying ddensity wave charge order in the original Hubbard model. On the honeycomb lattice, the compass model has a unique, quantum disordered ground state that transforms nontrivially under lattice reflection. The ground state of the Hubbard model on the decorated honeycomb lattice is thus a 2D fermionic symmetryprotected topological phase. This state—protected by timereversal and reflection symmetries—cannot be connected adiabatically to a freefermion topological phase.
 Authors:

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 Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS); Univ. of Alabama, Tuscaloosa, AL (United States)
 Princeton Univ., NJ (United States)
 Univ. of Alberta, Edmonton, AB (Canada); Canadian Inst. for Advanced Research, Toronto, ON (Canada)
 Publication Date:
 Grant/Contract Number:
 AC0206CH11357; FG0205ER46201; AC0205CH11231
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 117; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Research Org:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org:
 Natural Sciences and Engineering Research Council of Canada (NSERC); University of Alberta; Canadian Institute for Advanced Research (CIFAR); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
 OSTI Identifier:
 1339548
 Alternate Identifier(s):
 OSTI ID: 1306704
Chen, ChengChien, Muechler, Lukas, Car, Roberto, Neupert, Titus, and Maciejko, Joseph. Fermionic SymmetryProtected Topological Phase in a TwoDimensional Hubbard Model. United States: N. p.,
Web. doi:10.1103/PhysRevLett.117.096405.
Chen, ChengChien, Muechler, Lukas, Car, Roberto, Neupert, Titus, & Maciejko, Joseph. Fermionic SymmetryProtected Topological Phase in a TwoDimensional Hubbard Model. United States. doi:10.1103/PhysRevLett.117.096405.
Chen, ChengChien, Muechler, Lukas, Car, Roberto, Neupert, Titus, and Maciejko, Joseph. 2016.
"Fermionic SymmetryProtected Topological Phase in a TwoDimensional Hubbard Model". United States.
doi:10.1103/PhysRevLett.117.096405. https://www.osti.gov/servlets/purl/1339548.
@article{osti_1339548,
title = {Fermionic SymmetryProtected Topological Phase in a TwoDimensional Hubbard Model},
author = {Chen, ChengChien and Muechler, Lukas and Car, Roberto and Neupert, Titus and Maciejko, Joseph},
abstractNote = {We study the twodimensional (2D) Hubbard model using exact diagonalization for spin1/2 fermions on the triangular and honeycomb lattices decorated with a single hexagon per site. In certain parameter ranges, the Hubbard model maps to a quantum compass model on those lattices. On the triangular lattice, the compass model exhibits collinear stripe antiferromagnetism, implying ddensity wave charge order in the original Hubbard model. On the honeycomb lattice, the compass model has a unique, quantum disordered ground state that transforms nontrivially under lattice reflection. The ground state of the Hubbard model on the decorated honeycomb lattice is thus a 2D fermionic symmetryprotected topological phase. This state—protected by timereversal and reflection symmetries—cannot be connected adiabatically to a freefermion topological phase.},
doi = {10.1103/PhysRevLett.117.096405},
journal = {Physical Review Letters},
number = ,
volume = 117,
place = {United States},
year = {2016},
month = {8}
}
Works referenced in this record:
The quantum spin Hall effect and topological insulators
journal, January 2010
journal, January 2010
 Qi, XiaoLiang; Zhang, ShouCheng
 Physics Today, Vol. 63, Issue 1, p. 3338