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- W2088214125 abstract "Using a functional renormalization group (RG) method, we reexamine the glass phase of the two-dimensional random-field sine Gordon model. It is described by a line of fixed points with a super-roughening amplitude $overline{[u(0)ensuremath{-}u(r){]}^{2}}ensuremath{sim}A(T){mathrm{ln}}^{2}r$ as temperature $T$ is varied. By speculating that this line is identical for all $T$ to the one found in disordered free-fermion models via exact results from ``nearly conformal'' field theory, one would predict $A(T=0)=0$, contradicting numerics. We point out that this result may be related to failure of dimensional reduction, and that a functional RG method incorporating higher harmonics and nonanalytic operators predicts a nonzero $A(T=0)$ which compares reasonably well with numerics." @default.
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- W2088214125 date "2007-05-01" @default.
- W2088214125 modified "2023-10-16" @default.
- W2088214125 title "Disordered free fermions and the Cardy-Ostlund fixed line at low temperature" @default.
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- W2088214125 doi "https://doi.org/10.1103/physrevb.75.184401" @default.
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