Groundstate threshold pc in Ising frustration systems on 2D regular lattices

J. Bendisch

Physica A: Statistical Mechanics and its Applications, 1994, vol. 202, issue 1, 48-67

Abstract: In 2D Ising±J models on square as well as regular triangular and honeycomb lattices the groundstate threshold pc between ferro- and paramagnetism is determined by means of simulations of exact groundstates on L × L lattices up to a size of L = 300. To this end minimal matchings of frustrated plaquettes are formed following an approach proposed by Toulouse. Thus we obtain pc,hc≈0.06, pc,sq≈0.10, pc,tr≈0.15. Moreover, investigating the so-called adjoined problem we locate pc,type near the concentration πtype where a certain rational function ρtype(p) takes its minimum. In particular πsq=0.100…,πhc=0.061…, πtr= 0.150…. There is the conjecture that pc,type = πtype.

Date: 1994
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719490166X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:202:y:1994:i:1:p:48-67

DOI: 10.1016/0378-4371(94)90166-X

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().