Critical temperature of the superfluid transition in bose liquids

Details Critical temperature of the superfluid transition in bose liquids Critical temperature of the superfluid transition in bose liquids

1999-02-08

arxiv.org/abs/cond-mat/9902097v1

Phys. Rev. B60, 3052-55, (1999).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 fig

Scientific paper

10.1103/PhysRevB.60.3052

A phenomenological criterion for the superfluid transition is proposed, which is similar to the Lindemann criterion for the crystal melting. Then we derive a new formula for the critical temperature, relating $T_{\lambda}$ to the mean kinetic energy per particle above the transition. The suppression of the critical temperature in a sufficiently dense liquid is described as a result of the quantum decoherence phenomenon. The theory can account for the observed dependence of $T_{\lambda}$ on density in liquid helium and results in an estimate $T_{\lambda} \sim 1.1$ K for molecular hydrogen.

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