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arXiv · 1009.1398

Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices

Tamas A. Toth·Andreas M. Laeuchli·Frederic Mila·Karlo Penc
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Abstract

Combining a semi-classical analysis with exact diagonalizations, we show that the ground state of the SU(3) Heisenberg model on the square lattice develops three-sublattice long-range order. This surprising pattern for a bipartite lattice with only nearest-neighbor interactions is shown to be the consequence of a subtle quantum order-by-disorder mechanism. By contrast, thermal fluctuations favor two-sublattice configurations via entropic selection. These results are shown to extend to the cubic lattice, and experimental implications for the Mott-insulating states of three-flavor fermionic atoms in optical lattices are discussed.

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Tamas A. Toth, Andreas M. Laeuchli, Frederic Mila, Karlo Penc. 2010-11-29. Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices. https://doi.org/10.1103/physrevlett.105.265301

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