Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-09-22
Phys. Rev. B 59, 4058 (1999)
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 RevTex pages, uses epsfig, 2 figures
Scientific paper
10.1103/PhysRevB.59.4058
The effects of weak point-like disorder on periodic systems at their upper critical dimension D_c for disorder are studied. The systems studied range from simple elastic systems with D_c=4 to systems with long range interactions with D_c=2 and systems with D_c=3 such as the vortex lattice with dispersive elastic constants. These problems are studied using the Gaussian Variational method and the Functional Renormalisation Group. In all the cases studied we find a typical ultra-slow loglog(x) growth of the asymptotic displacement correlation function, resulting in nearly perfect translational order. Consequences for the Bragg glass phase of vortex lattices are discussed.
Chitra R.
Doussal Pierre Le
Giamarchi Thierry
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