Journal of Statistical Physics

Griffiths inequalities for noninteractingN-vector (classical heisenberg) models and applications to interacting systems

Bernhard Baumgartner

Published Sep 1, 1983• 1 citation

Publisher

DOI: 10.1007/bf01008959

Related papers

Griffiths Inequalities for Fermion Systems

Jerome K. Percus

Springer eBooksJan 1, 19870 citations

Quantum Griffiths Inequalities

Tadahiro Miyao

arXiv:1507.05355Journal of Statistical PhysicsJun 3, 20169 citations

Correlation inequalities for some classical spin vector models

H. Kunz, Ch.-Ed. Pfister, Pierre-A. Vuillermot

Physics Letters AOct 1, 197533 citations

Monotonicity of correlation functions

Paul A. Pearce

Counterexamples to pair correlation monotonicity inequalities, analogous to Griffiths’ second inequality for the Ising model, are presented for the finite spin Heisenberg model, the spin−(1/2) X–Y model, the anisotropic planar classical Heinsberg model, and the spherical model.

Journal of Mathematical PhysicsMay 1, 19763 citations

Some Simple Observations on Griffiths' Theorems for the Classical Heisenberg Model

Robert H. T. Yeh

We show that Griffiths' theorems are valid for any classical ferromagnetic Heisenberg model in the weak interaction limit. They are also valid for certain chain-type and ring-type models, regardless of interaction strength.

Journal of Mathematical PhysicsApr 1, 19702 citations

Inequalities between ground-state energies of Heisenberg models

Jacek Wojtkiewicz, Rafał Skolasiński

arXiv:1410.5322Physica A Statistical Mechanics and its ApplicationsOct 9, 20140 citations