Anomaly in the lattice partition function |
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Affiliation: | Institute of Physics, University of Oran-Senia, Oran, Algeria |
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Abstract: | The lattice partition function Z(T)=σ(Si) exp(−H/kBT), where H, kB and T are the Hamiltonian of the system, the Boltzmann constant and the absolute temperature, respectively, leads to a vanishing spontaneous magnetisation for all temperatures, independently of the lattice considered. This feature is related to the symmetry breaking in these systems. In comparing this relation to the well-known partition function Z(T)=σn exp(−En/kBT) where En is energy, we observe an incompatibility which could be the reason that this partition function leads to a vanishing spontaneous magnetisation. |
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