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Melting of two dimensional solids on disordered substrate

David Carpentier·Pierre Le Doussal
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Abstract

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 $ξ_{d}$ which we compute ($ξ_{d}\gg R_{c}\sim R_{a}$, 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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David Carpentier, Pierre Le Doussal. 1997-12-18. Melting of two dimensional solids on disordered substrate. https://doi.org/10.1103/physrevlett.81.1881

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