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arXiv · 2301.08884

Replica theory for disorder-free spin-lattice glass transition on a tree-like simplex network

Kota Mitsumoto·Hajime Yoshino
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Abstract

A class of pyrochlore oxides, $A_2$Mo$_2$O$_7$ ($A =$ Ho, Y, Dy, Tb) with magnetic ions on corner-sharing tetrahedra is known to exhibit spin-glass transitions without appreciable amount of quenched disorder. Recently a disorder-free theoretical model for such a system has been proposed which takes into account not only spins but also lattice distortions as dynamical variables [K. Mitsumoto, C. Hotta and H. Yoshino, Phys. Rev. Lett. 124, 087201 (2020)]. In the present paper we develop and analyze an exactly solvable disorder-free mean-field model which is a higher-dimensional counterpart of the model. We find the system exhibit complex free-energy landscape accompanying replica symmetry breaking through the spin-lattice coupling.

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Kota Mitsumoto, Hajime Yoshino. 2023-01-21. Replica theory for disorder-free spin-lattice glass transition on a tree-like simplex network. https://doi.org/10.1103/physrevb.107.054412

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