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Complex-temperature phase diagrams of one-dimensional spin models with next-nearest-neighbor couplings

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN: 1063-651X, Vol: 55, Issue: 5, Page: 5184-5193
1997
  • 11
    Citations
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  • 3
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    11
    • Citation Indexes
      11
  • Captures
    3

Article Description

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 one-dimensional (1D) Ising model with nearest-neighbor (NN) and next-nearest-neighbor (NNN) couplings. We work out the exact phase diagrams for various values of [formula presented]/[formula presented] and compare these with the case of pure NN couplings. We also give some similar results for the 1D Potts model with NN and NNN couplings. © 1997 The American Physical Society.

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