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

Author(s): Chen, Cheng-Chien; Muechler, Lukas; Car, Roberto; Neupert, Titus; Maciejko, Joseph

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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.
Publication Date: Aug-2016
Electronic Publication Date: 25-Aug-2016
Citation: Chen, Cheng-Chien, Muechler, Lukas, Car, Roberto, Neupert, Titus, Maciejko, Joseph. (2016). Fermionic Symmetry-Protected Topological Phase in a Two-Dimensional Hubbard Model. Physical Review Letters, 117 (9), 10.1103/PhysRevLett.117.096405
DOI: doi:10.1103/PhysRevLett.117.096405
ISSN: 0031-9007
EISSN: 1079-7114
Pages: 096405-1 - 096405-5
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review Letters
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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