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.