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arxiv: cond-mat/0511437 · v1 · submitted 2005-11-17 · ❄️ cond-mat.supr-con

Finite-Temperature Renormalization Group Analysis of Interaction Effects in 2D Lattices of Bose-Einstein Condensates

A. Smerzi (1 , 2) , P. Sodano (3) , A. Trombettoni (4) ((1) Istituto Nazionale per la Fisica della Materia BEC-CRS , Dipartimento di Fisica , Universita' di Trento , Italy; (2) Theoretical Division , Los Alamos National Laboratory
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USA; (3) Dipartimento di Fisica Sezione I.N.F.N. Universita' di Perugia Italy; (4) Istituto Nazionale per la Fisica della Materia Universita' di Parma Italy)
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keywords temperaturecriticalanalysisbose-einsteincondensatesdecreasesgroupinteraction
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By using a renormalization group analysis, we study the effect of interparticle interactions on the critical temperature at which the Berezinskii-Kosterlitz-Thouless (BKT) transition occurs for Bose-Einstein condensates loaded at finite temperature in a 2D optical lattice. We find that the critical temperature decreases as the interaction energy decreases; when U/J=36/\pi one has a vanishing critical temperature, signaling the possibility of a quantum phase transition of BKT type.

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