Fluctuations in Two-Dimensional Six-Vertex Systems
The character of polarization correlations in six-vertex systems will be discussed. Making use of a connection between the 1-d Heisenberg-Ising chain and the six-vertex problem, we draw upon existing results for the chain correlations to obtain information about long-wavelength polarization correlations in six-vertex models. These results are compared with a neutron scattering study of 2-d polarization correlations in the layered compound copper formate tetrahydrate. Because the six-vertex model is equivalent to a particular roughening model, these results also explicitly predict the critical behavior of that roughening model just above its roughening temperature. The results correspond to the predictions of Kosterlitz and Thouless for the phase transition in the 2-d Coulomb gas.
KeywordsInstrumental Resolution Polarization Correlation Polarization Fluctuation Height Correlation Function Chain Correlation
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