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arxiv: math-ph/0509060 · v2 · submitted 2005-09-26 · 🧮 math-ph · cond-mat.stat-mech· math.MP

Mott transition in lattice boson models

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords motttransitionamplitudebose-einsteinbose-hubbardbosoncondensateconjectured
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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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