Sine-Gordon Field Theory for the Kosterlitz-Thouless Transitions on Fluctuating Membranes
classification
❄️ cond-mat
keywords
sine-gordonflatfluctuatinghamiltonianskosterlitz-thoulesssurfacecontaincoulomb-gas
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In the preceding paper, we derived Coulomb-gas and sine-Gordon Hamiltonians to describe the Kosterlitz-Thouless transition on a fluctuating surface. These Hamiltonians contain couplings to Gaussian curvature not found in a rigid flat surface. In this paper, we derive renormalization-group recursion relations for the sine-Gordon model using field-theoretic techniques developed to study flat space problems.
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