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

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.

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Year of publication:	1992
Authors:	Cassi, Davide
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 191.1992, 1, p. 549-553
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011059120