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

Chen, Cheng-Chien; Muechler, Lukas; Car, Roberto; Neupert, Titus; Maciejko, Joseph

doi:10.1103/PhysRevLett.117.096405

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:

Chen, Cheng-Chien ^[1]; Muechler, Lukas ^[2]; Car, Roberto ^[2]; Neupert, Titus ^[2]; Maciejko, Joseph ^[3]

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:: Thu Aug 25 00:00:00 EDT 2016

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)

OSTI Identifier:: 1339548

Alternate Identifier(s):: OSTI ID: 1306704

Grant/Contract Number:: AC02-06CH11357; FG02-05ER46201; AC02-05CH11231

Resource Type:: 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.

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                    Chen, Cheng-Chien, Muechler, Lukas, Car, Roberto, Neupert, Titus, & Maciejko, Joseph. Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model.  United States.  https://doi.org/10.1103/PhysRevLett.117.096405

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                    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.  https://doi.org/10.1103/PhysRevLett.117.096405.  https://www.osti.gov/servlets/purl/1339548.

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@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}

}

Copy to clipboard

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Works referencing / citing this record:

Classical many-particle systems with unique disordered ground states
text, January 2017

Zhang, G.; Stillinger, F. H.; Torquato, S.
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Rusnačko, Juraj; Gotfryd, Dorota; Chaloupka, Jiří
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Title: Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model

Abstract

Citation Formats

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