Complex-Temperature Phase Diagrams of 1D Spin Models with Next-Nearest-Neighbor Couplings

Details Complex-Temperature Phase Diagrams of 1D Spin Models with Next-Nearest-Neighbor Couplings Complex-Temperature Phase Diagrams of 1D Spin Models with Next-Nearest-Neighbor Couplings

1997-03-20

arxiv.org/abs/cond-mat/9703187v1

Phys. Rev. E55, 5184 (1997)

Physics

Condensed Matter

Statistical Mechanics

27 pages, Latex

Scientific paper

10.1103/PhysRevE.55.5184

We study the dependence of complex-temperature phase diagrams on details of the Hamiltonian, focusing on the effect of non-nearest-neighbor spin-spin couplings. For this purpose, we consider a simple exactly solvable model, the 1D Ising model with nearest-neighbor (NN) and next-to-nearest-neighbor (NNN) couplings. We work out the exact phase diagrams for various values of $J_{nnn}/J_{nn}$ and compare these with the case of pure nearest-neighbor (NN) couplings. We also give some similar results for the 1D Potts model with NN and NNN couplings.

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