Z(2) gauge model on fractal lattices

Dhar, D. (1981) Z(2) gauge model on fractal lattices Journal of Physics A: Mathematical and General, 14 (5). L185-L187. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/14/5/015

Related URL: http://dx.doi.org/10.1088/0305-4470/14/5/015


Hamiltonians with Z(2) gauge symmetry are studied on a class of fractal lattices. The lattices considered have Fourier and Hausdorf-Besicovitch dimensions strictly greater than 2, but they have a low degree of connectivity characterised by their connectivity index 2. It is proved that there is no phase transition at non-zero temperatures.

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