Absence of a Finite-Temperature Melting Transition in the Classical Two-Dimensional One-Component Plasma

Details Absence of a Finite-Temperature Melting Transition in the Classical Two-Dimensional One-Component Plasma Absence of a Finite-Temperature Melting Transition in the Classical Two-Dimensional One-Component Plasma

1998-12-02

arxiv.org/abs/cond-mat/9812039v1

Phys. Rev. Lett. vol. 82, pag. 4078 (1999)

Physics

Condensed Matter

Superconductivity

3 figures

Scientific paper

10.1103/PhysRevLett.82.4078

Vortices in thin-film superconductors are often modelled as a system of particles interacting via a repulsive logarithmic potential. Arguments are presented to show that the hypothetical (Abrikosov) crystalline state for such particles is unstable at any finite temperature against proliferation of screened disclinations. The correlation length of crystalline order is predicted to grow as $\sqrt{1/T}$ as the temperature $T$ is reduced to zero, in excellent agreement with our simulations of this two-dimensional system.

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