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Mott transition in lattice boson models

Roberto Fernandez, Juerg Froehlich, Daniel Ueltschi

math-pharXiv:math-ph/0509060

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.

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