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

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

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7 Scopus citations


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.

Original languageEnglish (US)
Article number096405
JournalPhysical review letters
Issue number9
StatePublished - Aug 25 2016

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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