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arXiv · 1212.6035

Ground States of the Spin-1 Bose-Hubbard Model

Hosho Katsura·Hal Tasaki
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Abstract

We prove basic theorems about the ground states of the S=1 Bose-Hubbard model. The results are quite universal and depend only on the coefficient U_2 of the spin-dependent interaction. We show that the ground state exhibits saturated ferromagnetism if U_2<0, is spin-singlet if U_2>0, and exhibits "SU(3)-ferromagnetism" if U_2=0, and completely determine the degeneracy in each region.

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Hosho Katsura, Hal Tasaki. 2012-12-25. Ground States of the Spin-1 Bose-Hubbard Model. https://doi.org/10.1103/physrevlett.110.130405

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