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Alternative transfer-matrix approach to two-dimensional systems with competing interactions in one direction

Physical Review B, ISSN: 0163-1829, Vol: 36, Issue: 13, Page: 7091-7099
1987
  • 17
    Citations
  • 0
    Usage
  • 1
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    17
    • Citation Indexes
      17
  • Captures
    1

Article Description

A transfer-matrix representation in terms of Pauli spin matrices is used to perform a phenomenological renormalization and finite-size scaling analysis of two-dimensional spin models with competing interactions in one direction. This enables us to obtain the leading eigenvalues of the transfer matrix with a significative saving of computer time using the Lanczos scheme. The phase diagrams of the axial next-nearest-neighbor Ising model and a model with competing two- and four-spin couplings in one direction are studied. The order of the phase transitions was determined by examining the finite-size scaling behavior of the persistence length. Data for the normalized scaled persistence length display scaling on the ferromagnetic-paramagnetic transition line for both models. © 1987 The American Physical Society.

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