λ-transition in low dimensional systems with SU_q(2) symmetry

Details λ-transition in low dimensional systems with SU_q(2) symmetry λ-transition in low dimensional systems with SU_q(2) symmetry

1997-11-26

arxiv.org/abs/cond-mat/9711286v1

Physics

Condensed Matter

LaTeX file, 15 pages, four figures, uses epsf.sty

Scientific paper

10.1016/S0375-9601(98)00149-2

We show that $SU_q(2)$ invariant systems in one and two dimensions exhibit Bose-Einstein condensation for $q >1$. For these systems there is a $\lambda$-transition at the critical temperature. The critical temperature and the gap in the heat capacity increase more rapidly for small deviations from the standard value $q=1$, and they become approximately constant for large values of $q$. For low temperatures and $q>1$ the entropy is lower than the entropy of an ideal Bose gas.

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