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

Journal Article · Thu Aug 25 00:00:00 EDT 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.117.096405· OSTI ID:1339548

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)

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.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: 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)

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

OSTI ID:: 1339548

Alternate ID(s):: OSTI ID: 1306704

Journal Information:: Physical Review Letters, Vol. 117; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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