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and magnetization for TTc
The Onedimensional Ising Model
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analytic argument arrangements arrow Baxter becomes boundary calculate Chapter coefficients column commute complex condition configuration consider constant correlation corresponding cosh critical critical point defined definition depend diagonal edges eigenvalues eigenvectors eight-vertex model elements elliptic equal equations equivalent expansion expect expression faces fact factor field follows free energy given gives graph identity implies independent infinite integral interaction internal Ising model lattice limit magnetization means obtained obvious occur operator parameter particular partition function periodic positive properties regarded regime relation replaced respectively result satisfied scaling Section shown in Fig Similarly simple solution solved spins spontaneous magnetization square lattice star Substituting summation symmetry temperature tend transfer matrix triangle triangular true values variable vertex vertical written zero