Speaker

Mr. Fumiya Kakizawa / Saitama University

Title

Monte Carlo study on low-temperature phase diagrams of the J₁-J₂ classical XY kagome antiferromagnet

Abstract

Frustrated magnets with degenerate ground states exhibit exotic ground states and rich phase structures when perturbations and/or thermal fluctuations lift the degeneracy[1]. 
In two-dimensional models with short-range interactions, continuous symmetries cannot spontaneously break at finite temperatures, leading to the suppression of conventional magnetic long-range ordering[2].
In this talk, we will present the low-temperature properties of the classical J₁-J₂ XY antiferromagnet on the kagome lattice, showcasing the J₂-T phase diagram and additional numerical findings from extensive classical Monte Carlo simulations[3]. 
Furthermore, we will highlight an intriguing non-trivial first-order transition for antiferromagnetic J₂/J₁<0.
The origin of this transition will be discussed in the context of non-local loop structures found in local 120° spin structures.

[1] H. T. Diep, Frustrated Spin Systems, 2nd ed. (WORLD SCIENTIFIC, 2013).
[2] N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966).
[3] F. Kakizawa, T. Misawa, H. Shinaoka, arXiv:2310.15811.

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