Ising spin glasses in two dimensions: Universality and nonuniversality

Physical Review. E
P H Lundow, I A Campbell

Abstract

Following numerous earlier studies, extensive simulations and analyses were made on the continuous interaction distribution Gaussian model and the discrete bimodal interaction distribution Ising spin glass (ISG) models in two dimensions [Lundow and Campbell, Phys. Rev. E 93, 022119 (2016)1539-375510.1103/PhysRevE.93.022119]. Here we further analyze the bimodal and Gaussian data together with data on two other continuous interaction distribution two-dimensional ISG models, the uniform and the Laplacian models, and three other discrete interaction distribution models, a diluted bimodal model, an "antidiluted" model, and a more exotic symmetric Poisson model. Comparisons between the three continuous distribution models show that not only do they share the same exponent η≡0 but that to within the present numerical precision they share the same critical exponent ν also, and so lie in a single universality class. On the other hand the critical exponents of the four discrete distribution models are not the same as those of the continuous distributions, and the present data strongly indicate that they differ from one discrete distribution model to another. This is evidence that discrete distribution ISG models in two dimensions have no...Continue Reading

References

May 1, 1988·Physical Review. B, Condensed Matter·J S Wang, R H Swendsen
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May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P H Lundow, I A Campbell
Mar 18, 2016·Physical Review. E·P H Lundow, I A Campbell
Feb 18, 2017·Physical Review. E·P H Lundow, I A Campbell

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