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

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

2010-09-07

arxiv.org/abs/1009.1398v2

Phys. Rev. Lett 105, 265301 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, minor changes, references added

Scientific paper

10.1103/PhysRevLett.105.265301

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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