Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice

Bela Bauer, Philippe Corboz, Andreas M. Läuchli, Laura Messio, K. Penc, Matthias Troyer, Frédéric Mila

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47 Citations (Scopus)

Abstract

We present a numerical study of the SU(3) Heisenberg model of three-flavor fermions on the triangular and square lattice by means of the density-matrix renormalization group and infinite projected entangled-pair states. For the triangular lattice we confirm that the ground state has a three-sublattice order with a finite ordered moment which is compatible with the result from linear flavor wave theory (LFWT). The same type of order has recently been predicted also for the square lattice from LFWT and exact diagonalization. However, for this case the ordered moment cannot be computed based on LFWT due to divergent fluctuations. Our numerical study clearly supports this three-sublattice order, with an ordered moment of m=0.2 - 0.4 in the thermodynamic limit.

Original languageEnglish
Article number125116
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume85
Issue number12
DOIs
Publication statusPublished - Mar 16 2012

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Flavors
sublattices
moments
Fermions
Crystal lattices
Ground state
fermions
Thermodynamics
thermodynamics
ground state

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice. / Bauer, Bela; Corboz, Philippe; Läuchli, Andreas M.; Messio, Laura; Penc, K.; Troyer, Matthias; Mila, Frédéric.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 85, No. 12, 125116, 16.03.2012.

Research output: Contribution to journalArticle

Bauer, Bela ; Corboz, Philippe ; Läuchli, Andreas M. ; Messio, Laura ; Penc, K. ; Troyer, Matthias ; Mila, Frédéric. / Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice. In: Physical Review B - Condensed Matter and Materials Physics. 2012 ; Vol. 85, No. 12.
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