Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales

Abstract

By considering the constrained motion of classical spins in a geometrically frustrated magnet, we find a dynamical freezing temperature below which the system gets trapped in metastable states with a "frozen" moment and dynamical heterogeneities. The residual collective degrees of freedom are strongly correlated, and by spontaneously forming aggregates, they are unable to reorganize the system. The phase space is then fragmented in a macroscopic number of disconnected sectors (broken ergodicity), resulting in self-induced disorder and "thermodynamic" anomalies, measured by the loss of a finite configurational entropy. We discuss these results in the view of experimental results on the kagome compounds, SrCr(9p)Ga(12-9p)O19, (H30)Fe3(SO4)2(OH)6, Cu3V2O7(OH)2.2H2O and Cu3BaV2O8(OH)2.

17 pages, 14 fig

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Cited by in corpus (25)

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• Spin slush in an extended spin ice model
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• A Supercooled Spin Liquid State in the Frustrated Pyrochlore Dy2Ti2O7
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
• Low-temperature spin dynamics of a valence bond glass in Ba2YMoO6
• Spin liquid and infinitesimal-disorder-driven cluster spin glass in the kagome lattice
• Defects dynamics following thermal quenches in square spin-ice
• Non-monotonic residual entropy in diluted spin ice: a comparison between Monte Carlo simulations of diluted dipolar spin ice models and experimental results
• Colorings of odd or even chirality on hexagonal lattices
• Static properties of 2D spin-ice as a sixteen-vertex model
• Anisotropic re-entrant spin-glass features in a metallic kagome lattice, Tb3Ru4Al12
• Fracton excitations in classical frustrated kagome spin models
• Multiple time scales from hard local constraints: glassiness without disorder
• Ice, glass, and solid phases in artificial spin systems with quenched disorder
• Neutron diffraction study of a metallic kagome lattice, Tb3Ru4Al12
• Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Spin dynamics of the director state in frustrated hyperkagome systems
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Collective magnetic state induced by charge disorder in the non-Kramers rare-earth pyrochlore Tb${}_2$ScNbO${}_7$
• Nematicity Liquid in a Trimerized-Kagome Antiferromagnet
• Phase-space networks and connectivity of the kagome antiferromagnet