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
- 5Citations
- 5Captures
Metric Options: CountsSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=41349117561&origin=inward; http://dx.doi.org/10.1103/physreve.66.036107; http://www.ncbi.nlm.nih.gov/pubmed/12366184; https://link.aps.org/doi/10.1103/PhysRevE.66.036107; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.66.036107/fulltext; http://link.aps.org/article/10.1103/PhysRevE.66.036107
American Physical Society (APS)
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know