Two-Phase Region of the Vortex-Solid Melting Transition: 3D XY Theory

Details Two-Phase Region of the Vortex-Solid Melting Transition: 3D XY Theory Two-Phase Region of the Vortex-Solid Melting Transition: 3D XY Theory

1997-12-17

arxiv.org/abs/cond-mat/9712214v1

Physics

Condensed Matter

Superconductivity

5 pages LaTeX, 1 .eps figure, uses epsf.sty

Scientific paper

10.1209/epl/i1998-00320-5

In clean enough samples of the high-$T_c$ oxide materials, the phase transition into the superconducting state occurs along a first order line in the $H$-$T$ plane. This means that a two-phase region occurs in the B-$T$ plane, in which the liquid and solid vortex phases coexist. We discuss the thermodynamics of this two-phase region, developing formulae relating experimental quantities of interest. We then apply the 3D XY scaling theory to the problem, obtaining detailed predictions for the boundaries of the coexistence region. By using published data, we are able to predict the width of the two-phase region, and determine the physical parameters involved in the 3D XY description.

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