Thermodynamics of Wigner crystallization

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, , Citation M Parrinello and N H March 1976 J. Phys. C: Solid State Phys. 9 L147 DOI 10.1088/0022-3719/9/6/003

0022-3719/9/6/L147

Abstract

The thermodynamics of Wigner crystallization is considered. The melting curve in the classical regime is p=AT4. In the T=0 limit, the change in potential energy is related to the volume change. A dimensional argument is given to show that in four dimensions, the melting curve in the rho -T plane is given by T=K rho 12/, a fully quantal result. Finally, a schematic plot of critical density versus dimensionality is achieved.

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10.1088/0022-3719/9/6/003