dorsal/arxiv
View SchemaFirst-Order Vortex Lattice Melting and Magnetization of YBa$_2$Cu$_3$O$_{7-\delta}
| Authors | R. Sasik, D. Stroud |
|---|---|
| Categories | |
| ArXiv ID | supr-con/9506002 |
| URL | https://arxiv.org/abs/supr-con/9506002 |
| DOI | 10.1103/PhysRevLett.75.2582 |
Abstract
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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"abstract": "We present the first non-mean-field calculation of the magnetization $M(T)$\nof YBa$_2$Cu$_3$O$_{7-\\delta}$ both above and below the flux-lattice melting\ntemperature $T_m(H)$. The results are in good agreement with experiment as a\nfunction of transverse applied field $H$. The effects of fluctuations in both\norder parameter $\\psi({\\bf r})$ and magnetic induction $B$ are included in the\nGinzburg-Landau free energy functional: $\\psi({\\bf r})$ fluctuates within the\nlowest Landau level in each layer, while $B$ fluctuates uniformly according to\nthe appropriate Boltzmann factor. The second derivative $(\\partial^2 M/\\partial\nT^2)_H$ is predicted to be negative throughout the vortex liquid state and\npositive in the solid state. The discontinuities in entropy and magnetization\nat melting are calculated to be $\\sim 0.034\\, k_B$ per flux line per layer and\n$\\sim 0.0014$~emu~cm$^{-3}$ at a field of 50 kOe.",
"arxiv_id": "supr-con/9506002",
"authors": [
"R. Sasik",
"D. Stroud"
],
"categories": [
"supr-con",
"cond-mat.supr-con"
],
"doi": "10.1103/PhysRevLett.75.2582",
"title": "First-Order Vortex Lattice Melting and Magnetization of YBa$_2$Cu$_3$O$_{7-\\delta}",
"url": "https://arxiv.org/abs/supr-con/9506002"
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