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

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  • Cassi, Davide

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.

Suggested Citation

  • Cassi, Davide, 1992. "Absence of spontaneous symmetry breaking on fractal lattices with d̃⩽2," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 549-553.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:549-553
    DOI: 10.1016/0378-4371(92)90581-A
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    1. Watanabe, Toshio, 1987. "Kazushi Okawa, ed., Japan and Developing Countries:A Comparative Analysis," Economic Review, Hitotsubashi University, vol. 38(4), pages 378-380, October.
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