PlumX Metrics
Embed PlumX Metrics

Ground-state entropies of the Potts antiferromagnet on diamond hierarchical lattices

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN: 1063-651X, Vol: 66, Issue: 3, Page: 036107
2002
  • 5
    Citations
  • 0
    Usage
  • 5
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

Article Description

The ground-state degeneracies of the q-state Potts antiferromagnet on general diamond hierarchical lattices are computed, for [formula presented] by means of two distinct methods. The first method, denominated the recursive approach, is based on exact recursion relations for the total number of ground states, leading to the exact ground-state entropy in the thermodynamic limit. The second method, called the factorization approach, consists in a simple approximation, where the total number of ground states is factorized as a product of the number of ground states at each hierarchy level. The factorization approach appears to be a poor approximation for small values of q, but its accuracy improves substantially as q increases, and it becomes exact in the limit [formula presented] In spite of the fact that such a model presents no frustration, a residual entropy at zero temperature is found for all [formula presented] Similarly to what happens on Bravais lattices, the residual entropy approaches its maximum allowed value, [formula presented] as q increases. © 2002 The American Physical Society.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know