Physical Review Letters · 1970 · 165 citations · 12 references
Natural SciencesPhysicsCondensed Matter PhysicsTheoretical PhysicsThermodynamicsAntiferromagnetismDensity Functional TheoryFerromagnetismFree EnergyPhase TransitionsDensityFinite-temperature Density Functional TheoryFinite-temperature MagnetismHeisenberg AntiferromagnetHeisenberg MagnetismHeisenberg ModelMagnetic Free Energy
We prove that the free energy of an arbitrary monomer-dimer system is analytic in the density and temperature for nonzero density, and hence that the system has no phase transition. This result can also be used to locate the $z={e}^{2\ensuremath{\beta}h}$ roots of the Heisenberg ferromagnet or antiferromagnet at high temperature.
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