Defect Melting Models for Cubic Lattices and Universal Laws for Melting Temperatures

Abstract

We set up simple harmonic lattice models for elastic fluctuations in bcc and fcc lattices and the excitation of dislocations and disclinations. From these we derive, in a lowest approximation, universal formulas which predict melting temperatures in good agreement with the experiments. This new theory is more precise than Lindemann's rule by factor 2, and more predictive, since the size of the Lindemann number has to be fixed by experiments. In addition, our theory allows for systematic improvements.

arXiv comment4 pages, Revtex 4

References in corpus (6)

• Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
• Melting as a String-Mediated Phase Transition
• Dislocation Mediated Melting Near Isostructural Critical Points
• Analysis of Dislocation Mechanism for Melting of Elements
• Dislocation-Mediated Melting: The One-Component Plasma Limit
• Vertical Melting of a Stack of Membranes

Cited by in corpus (2)

• Triangular Lattice Model of 2D Defect Melting
• Defect induced melting of vortices in high-${\mathbf{T}}_{\mathbf{c}}$ superconductors: A model based on continuum elasticity theory