Block model for the XY-type Landau-Ginzburg-Wilson Hamiltonian with an inhomogeneous temperature

Abstract

The phase fluctuation near the saddle point solution of the XY-type Landau-Ginzburg-Wilson Hamiltonian with random temperature is studied. For the modes with lowest eigenvalue, the systems is self-organized into blocks, which are coupled as a XY model with random bond. The couplings obtained in this way agree with those by domain wall method.

8pages, 4 figures

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