Electronic Resource
Springer
Communications in mathematical physics
41 (1975), S. 281-288
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract A generalized form of the classical Bogoliubov inequality obtained by Mermin is derived for all lattice systems whose configuration manifold is a compact connected real Lie groupG; the new inequality relates elements ofC ∞ (G; ℂ) the algebra of indefinitely differentiable complex-valued functions onG. We use it to prove the absence of ordering in a class of one- and two-dimensional systems defined byG-invariant Hamiltonians. This class contains in particular the Stanley model for ferromagnets and a lattice version of the Maier-Saupe model for nematic liquid crystals.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01608992
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