Topological Order in the Phase Diagram for High-Temperature Superconductors with Point Defects

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  • 4 September 1996
Abstract
Applying a Lindemann-like criterion derived by Kierfeld, Nattermann and Hwa (cond-mat/9512101), we calculate the magnetic field and temperature for a high-$T_c$ superconductor, at which a topologically ordered vortex glass phase becomes unstable with respect to a disorder-induced formation of dislocations. The employed criterion is shown to be equivalent to a conventional phenomenological Lindemann criterion including the values for the numerical factors, i.e., for the Lindemann-number. The positional correlation length of the topologically ordered vortex glass is calculated.

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