First-Order Vortex Lattice Melting and Magnetization of YBa$_2$Cu$_3$O$_{7-δ}

Details First-Order Vortex Lattice Melting and Magnetization of YBa$_2$Cu$_3$O$_{7-δ} First-Order Vortex Lattice Melting and Magnetization of YBa$_2$Cu$_3$O$_{7-δ}

1995-06-20

arxiv.org/abs/supr-con/9506002v1

Physics

Condensed Matter

Superconductivity

11 pages, 4 PostScript figures in one uuencoded file

Scientific paper

10.1103/PhysRevLett.75.2582

We present the first non-mean-field calculation of the magnetization $M(T)$ of YBa$_2$Cu$_3$O$_{7-\delta}$ both above and below the flux-lattice melting temperature $T_m(H)$. The results are in good agreement with experiment as a function of transverse applied field $H$. The effects of fluctuations in both order parameter $\psi({\bf r})$ and magnetic induction $B$ are included in the Ginzburg-Landau free energy functional: $\psi({\bf r})$ fluctuates within the lowest Landau level in each layer, while $B$ fluctuates uniformly according to the appropriate Boltzmann factor. The second derivative $(\partial^2 M/\partial T^2)_H$ is predicted to be negative throughout the vortex liquid state and positive in the solid state. The discontinuities in entropy and magnetization at melting are calculated to be $\sim 0.034\, k_B$ per flux line per layer and $\sim 0.0014$~emu~cm$^{-3}$ at a field of 50 kOe.

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