Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Statistical Physics (general)

DY 22.10: Talk

Wednesday, April 2, 2014, 17:30–17:45, ZEU 160

Ising Kagome Paramagnet is a Mean-Field system — •Taras Yavors’kii — AMRC, Department of Mathematics and Physics, Coventry University, CV1 5FB, England

Antiferromagnetic nearest-neighbor Ising model on a geometrically frustrated two-dimensional kagome lattice does not order down to T=0 [1]. Using Monte Carlo simulations on graphics processing units (GPUs) as a tool, I show that statistical physics properties of the model, including pair correlation function and specific heat, are well described by the variational single-particle mean-field theory [2] (MFT) ansatz at all T≥ 0, provided the MFT temperature scale Θ, where Θ_c<Θ<∞, is mapped onto the physical temperature scale 0≤ T<∞ by considering Θ as a suitable function of T. The model is thus completely “transparent” to the paramagnetic MFT treatment deep below the MFT critical temperature Θ_c>0, making MFT a simple and powerful tool for the study of perturbations at low T.

[1] K. Kanô and S. Naya, Prog. Theor. Phys. 10 158 (1953)

[2] P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, UK, 1995)