Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice

Philippe Corboz, Andreas M. Läuchli, Karlo Penc, Matthias Troyer, Frédéric Mila

Research output: Contribution to journalArticle

67 Citations (Scopus)

Abstract

Using infinite projected entangled-pair states, exact diagonalization, and flavor-wave theory, we show that the SU(4) Heisenberg model undergoes a spontaneous dimerization on the square lattice, in contrast with its SU(2) and SU(3) counterparts, which develop Néel and three-sublattice stripelike long-range order. Since the ground state of a dimer is not a singlet for SU(4) but a 6-dimensional irreducible representation, this leaves the door open for further symmetry breaking. We provide evidence that, unlike in SU(4) ladders, where dimers pair up to form singlet plaquettes, here the SU(4) symmetry is additionally broken, leading to a gapless spectrum in spite of the broken translational symmetry.

Original languageEnglish
Article number215301
JournalPhysical review letters
Volume107
Issue number21
DOIs
Publication statusPublished - Nov 15 2011

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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