Absence of spontaneous symmetry breaking on fractal lattices with d̃⩽2

Davide Cassi

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 549-553

Abstract: We generalize the Mermin-Wagner theorem proving that classical O(n) and quantum Heisenberg ferromagnetic models with nearest neighbors interactions cannot have spontaneous magnetization at any finite temperature on fractal and disordered lattices whose spectral dimension is less or equal to 2, due to the infrared divergencies of the Gaussian models defined on them.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:549-553

DOI: 10.1016/0378-4371(92)90581-A

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