Partition function of nearest neighbour Ising models: Some new insights
G Nandhini M V Sangaranarayanan
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The partition function for one-dimensional nearest neighbour Ising models is estimated by summing all the energy terms in the Hamiltonian for N sites. The algebraic expression for the partition function is then employed to deduce the eigenvalues of the basic $2 \times 2$ matrix and the corresponding Hermitian Toeplitz matrix is derived using the Discrete Fourier Transform. A new recurrence relation pertaining to the partition function for two-dimensional Ising models in zero magnetic field is also proposed.
G Nandhini1 M V Sangaranarayanan1
Volume 134, 2022
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