Progress of Theoretical Physics · 1971 · 477 citations · 0 references
Natural SciencesPhysicsCondensed Matter PhysicsMathematical PhysicsThermodynamicsEntropyIntegral EquationsStatistical MechanicsStatistical ThermodynamicsExchange Interactions In Heisenberg ModelsFinite-temperature EffectsFinite-temperature Equation Of StateFinite-temperature MagnetismHeisenberg ModelMagnetic Specific HeatThermodynamic Analysis
A set of integral equations which describes the thermodynamic properties of one-dimensional Heisenberg model is obtained. From these equations one can calculate the energy, entropy and magnetization of the system at given temperature and magnetic field. We have succeeded in reproducing the known exact results in the limiting cases of zero temperature, infinite temperature and infinite magnetic field.