Thermodynamics of the Superconducting Phase Transition in Ba_{0.6}K_{0.4}BiO_3

Details Thermodynamics of the Superconducting Phase Transition in Ba_{0.6}K_{0.4}BiO_3 Thermodynamics of the Superconducting Phase Transition in Ba_{0.6}K_{0.4}BiO_3

1999-04-20

arxiv.org/abs/cond-mat/9904288v2

Phys. Rev. Lett. 82 (22) p. 4532-4535 (1999)

Physics

Condensed Matter

Superconductivity

12 pages, 3 figures, accepted for publication in PRL; This version corrects reference numbering and other minor typographical

Scientific paper

10.1103/PhysRevLett.82.4532

We suggest that the transition to superconductivity in a single crystal of Ba_{0.6}K_{0.4}BiO_3 with a T_c = 32K, and having critical fields with anomalous temperature dependencies and vanishing discontinuities in specific heat and magnetic susceptibility, may well be an example of a fourth order (in Ehrenfest's sense) phase transition. We have derived a free energy functional for a fourth order transition and calculated (for the temperature range ${T_c/2 < T \simeq T_c}$) the temperature dependence of the critical fields. We find $H_{c1}(T)\propto (1-T/T_c)^3, H_0(T)\propto (1-T/T_c)^2$ and $H_{c2}(T)\propto (1-T/T_c)^{1}$ in general agreement with experiments.

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