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

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.

16 pages, 6 figures

References in corpus (7)

• Theoretical perspective on the glass transition and amorphous materials
• Fractal free energy landscapes in structural glasses
• Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder
• Large-scale Monte Carlo simulations of the isotropic three-dimensional Heisenberg spin glass
• Spin-glass transition in bond-disordered Heisenberg antiferromagnets coupled with local lattice distortions on a pyrochlore lattice
• Monte Carlo studies of the spin-chirality decoupling in the three-dimensional Heisenberg spin glass
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Cited by in corpus (1)

• Frustrated magnets in the limit of infinite dimensions: dynamics and disorder-free glass transition