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paper

Mott transition in lattice boson models

arXiv:math-ph/0509060 · doi:10.1007/s00220-006-0038-9

Abstract

We use mathematically rigorous perturbation theory to study the transition between the Mott insulator and the conjectured Bose-Einstein condensate in a hard-core Bose-Hubbard model. The critical line is established to lowest order in the tunneling amplitude.

20 pages