Melting of two dimensional solids on disordered substrate

Details Melting of two dimensional solids on disordered substrate Melting of two dimensional solids on disordered substrate

1997-12-18

arxiv.org/abs/cond-mat/9712227v1

Phys. Rev. Lett. 81, 1881 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, uses RevTeX, Amssymb, multicol,epsf

Scientific paper

10.1103/PhysRevLett.81.1881

We study 2D solids with weak substrate disorder, using Coulomb gas renormalisation. The melting transition is found to be replaced by a sharp crossover between a high $T$ liquid with thermally induced dislocations, and a low $T$ glassy regime with disorder induced dislocations at scales larger than $\xi_{d}$ which we compute ($\xi_{d}\gg R_{c}\sim R_{a}$, the Larkin and translational correlation lengths). We discuss experimental consequences, reminiscent of melting, such as size effects in vortex flow and AC response in superconducting films.

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