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

Physics – Condensed Matter

Scientific paper

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8 pages, REVTEX 3.0, uses epsf, 1 eps-figure, major changes: Lindemann-like criterion is applied to YBCO, the electromagnetic

Scientific paper

10.1016/S0921-4534(98)00138-5

Applying a Lindemann-like criterion obtained previously by Kierfeld, Nattermann and Hwa [Phys. Rev. B 55, 626 (1997)], we estimate 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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