2-loop Functional Renormalization for elastic manifolds pinned by disorder in N dimensions

Details 2-loop Functional Renormalization for elastic manifolds pinned by disorder in N dimensions 2-loop Functional Renormalization for elastic manifolds pinned by disorder in N dimensions

2005-01-13

arxiv.org/abs/cond-mat/0501315v1

Phys. Rev. E 72 (2005) 035101 (R)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.72.035101

We study elastic manifolds in a N-dimensional random potential using functional RG. We extend to N>1 our previous construction of a field theory renormalizable to two loops. For isotropic disorder with O(N) symmetry we obtain the fixed point and roughness exponent to next order in epsilon=4-d, where d is the internal dimension of the manifold. Extrapolation to the directed polymer limit d=1 allows some handle on the strong coupling phase of the equivalent N-dimensional KPZ growth equation, and eventually suggests an upper critical dimension of about 2.5.

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