Volume 63, Number 4, August 2003
|Page(s)||505 - 511|
|Published online||01 November 2003|
Spin-one bosons in low-dimensional Mott insulating states
ITP, Utrecht University, Minnaert building - Leuvenlaan 4 3584 CE Utrecht, The Netherlands
Accepted: 13 June 2003
We analyze the strong-coupling limit of spin-one bosons in low-dimensional lattices. In one-dimensional lattices, for an odd number of bosons per site (), the ground state is a dimerized-valence-bond crystal with a twofold degeneracy; the low-lying elementary spin excitations carry spin-one. For an even number of bosons per site (), the ground state is a nondegenerate spin singlet Mott state. We also argue that for square lattices in a quantum spin disordered limit, ground states should be dimerized-valence-bond crystals for an odd integer N0. Finally, we briefly report results on exotic states for non-integer numbers of bosons per site in one-dimensional lattices.
PACS: 05.30.Jp – Boson systems / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 75.10.Jm – Quantized spin models
© EDP Sciences, 2003
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