Ising Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results

Susanta Bhattacharya; Samir K. Paul

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Ising Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results

Susanta Bhattacharya·Samir K. Paul

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Abstract

We present a general procedure for calculating the exact partition function of an Ising model on a periodic chain in presence of magnetic field considering both open and closed boundary conditions. Using same procedure on a quasiperiodic (Fibonacci) chain we have established a recurrence relation among partition functions of different Fibonacci generations from n-th to (n+6)-th. In the large N limit we find $(2τ+ 1){F_{n+1}}={F_{n+2}}$; where $τ$ is the golden mean and $F_n$ stands for free energy/spin for the n-th generation. We have also studied chemical potential in both cases.

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Susanta Bhattacharya, Samir K. Paul. 2003-06-24. Ising Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results. https://arxiv.org/abs/cond-mat/0306600

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