954 citations
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Showing 2012Show all
3 papers · 1 filter
cond-mat.quant-gas2012★ 29 cited
Ground States of the Spin-1 Bose-Hubbard Model
Hosho Katsura, Hal Tasaki
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 interact…
cond-mat.str-el2012★ 40 cited
Nagaoka states in the SU() Hubbard model
Hosho Katsura, Akinori Tanaka
We present an extension of Nagaoka's theorem in the SU() generalization of the infinite- Hubbard model. It is shown that, when there is exactly one hole, the fully polarized…
cond-mat.stat-mech2012★ 25 cited
Entanglement Spectra of the quantum hard-square model: Holographic minimal models
Shu Tanaka, Ryo Tamura, Hosho Katsura
We study the entanglement properties of a quantum lattice-gas model for which we can find the exact ground state (of the Rokhsar-Kivelson type). The ground state can be expressed a…