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Title: Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model

Abstract

We study the two-dimensional (2D) Hubbard model using exact diagonalization for spin-1/2 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 d-density 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 symmetry-protected topological phase. This state—protected by time-reversal and reflection symmetries—cannot be connected adiabatically to a free-fermion topological phase.

Authors:
 [1];  [2];  [2];  [2];  [3]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS); Univ. of Alabama, Tuscaloosa, AL (United States)
  2. Princeton Univ., NJ (United States)
  3. Univ. of Alberta, Edmonton, AB (Canada); Canadian Inst. for Advanced Research, Toronto, ON (Canada)
Publication Date:
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) (SC-22)
OSTI Identifier:
1339548
Alternate Identifier(s):
OSTI ID: 1306704
Grant/Contract Number:  
AC02-06CH11357; FG02-05ER46201; AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Chen, Cheng-Chien, Muechler, Lukas, Car, Roberto, Neupert, Titus, and Maciejko, Joseph. Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.117.096405.
Chen, Cheng-Chien, Muechler, Lukas, Car, Roberto, Neupert, Titus, & Maciejko, Joseph. Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model. United States. doi:10.1103/PhysRevLett.117.096405.
Chen, Cheng-Chien, Muechler, Lukas, Car, Roberto, Neupert, Titus, and Maciejko, Joseph. Thu . "Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model". United States. doi:10.1103/PhysRevLett.117.096405. https://www.osti.gov/servlets/purl/1339548.
@article{osti_1339548,
title = {Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model},
author = {Chen, Cheng-Chien and Muechler, Lukas and Car, Roberto and Neupert, Titus and Maciejko, Joseph},
abstractNote = {We study the two-dimensional (2D) Hubbard model using exact diagonalization for spin-1/2 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 d-density 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 symmetry-protected topological phase. This state—protected by time-reversal and reflection symmetries—cannot be connected adiabatically to a free-fermion topological phase.},
doi = {10.1103/PhysRevLett.117.096405},
journal = {Physical Review Letters},
number = ,
volume = 117,
place = {United States},
year = {Thu Aug 25 00:00:00 EDT 2016},
month = {Thu Aug 25 00:00:00 EDT 2016}
}

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Works referenced in this record:

The quantum spin Hall effect and topological insulators
journal, January 2010

  • Qi, Xiao-Liang; Zhang, Shou-Cheng
  • Physics Today, Vol. 63, Issue 1, p. 33-38
  • DOI: 10.1063/1.3293411