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

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  • Bendisch, J.

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.

Suggested Citation

  • Bendisch, J., 1994. "Groundstate threshold pc in Ising frustration systems on 2D regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(1), pages 48-67.
    • Handle: RePEc:eee:phsmap:v:202:y:1994:i:1:p:48-67
    DOI: 10.1016/0378-4371(94)90166-X
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