Berlin 2018 – scientific programme

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MA: Fachverband Magnetismus

MA 4: Spin structures and magnetic phase transitions

MA 4.4: Talk

Monday, March 12, 2018, 10:15–10:30, EB 202

Entropy of the diluted antiferromagnetic Ising models on the frustrated lattices using the Wang-Landau method — •Yuriy Shevchenko^1,2, Konstantin Nefedev^1,2, and Yutaka Okabe³ — ¹School of Natural Sciences, Far Eastern Federal University, Vladivostok, Russian Federation — ²Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, Vladivostok, Russian Federation — ³Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan

We show the results of computer calculations of non-linear behavior of residual entropy on frustrated pyrochlore, triangular and kagome lattices.

Nonmonotonic zero-point entropy as a function of dilution concentration was observed experimentally and discussed in frames of generalization of Pauling’s theory [Ke X. et al., Phys. Rev. Lett. 99, 137203 (2007)]. Motivated by the current interest in the pyrochlore lattice, we study the entropy of the diluted AFM Ising model on the frustrated lattices using the Wang-Landau algorithm, which directly calculates the energy density of states.

We also investigate other frustrated systems, the antiferromagnetic Ising model on the triangular lattice and the kagome lattice, demonstrating the difference in the dilution effects between the system on the pyrochlore lattice and that on other frustrated lattices, and discuss it’s nonmonotonic behavior.