Difference equation solution of the linear Ising model with J_ij=J|i-j|^-2

Authors

Samuel B. Peralta ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

A difference equation technique is used to solve the one-dimensional Ising model with spin-spin interaction energy -∑_i<jJ|i-j|^-2σ_iσ_j. The associated phase transition is thus established without the use of cluster expansions or matrix analysis.

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Issue

1984: Samahang Pisika ng Pilipinas Third National Congress Proceedings

Article ID

SPP-1984-PS-10

Section

Plenary Sessions

Published

1984-06-01

How to Cite

[1]

SB Peralta, Difference equation solution of the linear Ising model with Jij=J|i-j|-2, Proceedings of the Samahang Pisika ng Pilipinas 3, SPP-1984-PS-10 (1984). URL: https://proceedings.spp-online.org/article/view/SPP-1984-PS-10.