Spin-glass transition in bond-disordered Heisenberg antiferromagnets coupled with local lattice distortions on a pyrochlore lattice

Abstract

Motivated by puzzling characteristics of spin-glass transitions widely observed in pyrochlore-based frustrated materials, we investigate effects of coupling to local lattice distortions in a bond-disordered antiferromagnet on the pyrochlore lattice by extensive Monte Carlo simulations. We show that the spin-glass transition temperature $\TSG$ is largely enhanced by the spin-lattice coupling, and furthermore, becomes almost independent of $\Delta$ in a wide range of the disorder strength $\Delta$. The critical property of the spin glass transition is indistinguishable from that of the canonical Heisenberg spin glass in the entire range of $\Delta$. These peculiar behaviors are ascribed to a modification of the degenerate manifold from continuous to semidiscrete one by the spin-lattice coupling.

arXiv comment4 pages, 3 figures, major revisions, accepted for publication in PRL

References in corpus (24)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Magnetic Pyrochlore Oxides
• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Order by distortion and string modes in pyrochlore antiferromagnet
• Static Critical Behavior of the Spin-Freezing Transition in the Geometrically Frustrated Pyrochlore Antiferromagnet Y2Mo2O7
• Spin-Peierls phases in pyrochlore antiferromagnets
• Magnetic properties of the frustrated AFM spinel ZnCr_2O_4 and the spin-glass Zn_{1-x}Cd_xCr_2O_4 (x=0.05,0.10)
• Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder
• Spin glass transition in geometrically frustrated antiferromagnets with weak disorder
• Local lattice disorder in the geometrically-frustrated spin glass pyrochlore Y2Mo2O7
• Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• Frustration driven lattice distortion; an NMR investigation of Y2Mo2O7
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• Spin-Glass and Chiral-Glass Transitions in a $\pm J$ Heisenberg Spin-Glass Model in Three Dimensions
• Partial order from disorder in a classical pyrochlore antiferromagnet
• A Monte Carlo study of O(3) antiferromagnetic models in three dimensions
• A Novel Pyrochlore Ruthenate: Ca2Ru2O7
• Monte Carlo study of half-magnetization plateau and magnetic phase diagram in pyrochlore antiferromagnetic Heisenberg model
• A quest for frustration driven distortion in Y2Mo2O7
• Origin of magnetic freezing in the pyrochlore Y2Mo2O7
• Structural phase transitions in geometrically frustrated antiferromagnets
• Loop algorithm for classical Heisenberg models with spin-ice type degeneracy

Cited by in corpus (28)

• Graphene Spintronics
• The dependence of topological Anderson insulator on the type of disorder
• Dynamically-generated pure spin current in single-layer graphene
• Liquid-like correlations in single crystalline Y2Mo2O7: an unconventional spin glass
• A single crystal high-temperature pyrochlore antiferromagnet
• Cubic and non-cubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice
• Effect of magnetoelastic coupling on spin-glass behavior in Heisenberg pyrochlore antiferromagnets with bond disorder
• Spin-orbital frustration in pyrochlores A2Mo2O7
• Monopole holes in a partially ordered spin liquid
• Spin-orbital glass transition in a model of a frustrated pyrochlore magnet without quenched disorder
• Spin glass induced by infinitesimal disorder in geometrically frustrated kagome lattice
• Spin freezing in the disordered pyrochlore magnet NaCaCo${}_2$F${}_7$: NMR studies and Monte-Carlo simulations
• Mesoscopic correlations in Tb2Ti2O7 spin liquid
• First-principles studies of spin-orbital physics in pyrochlore oxides
• Ice, glass, and solid phases in artificial spin systems with quenched disorder
• $\mu$SR study of spin freezing and persistent spin dynamics in NaCaNi${}_2$F${}_7$
• Linear scaling relationship of Néel temperature and dominant magnons in pyrochlore ruthenates
• Softening of breathing elastic mode and trigonal elastic mode in disordered pyrochlore magnet NaCaCo${}_2$F${}_7$
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Spin-orbital liquids and insulator-metal transitions on the pyrochlore lattice
• Supercooled Jahn-Teller Ice
• Absence of magnetic long range order in Y${}_2$CrSbO${}_7$: bond-disorder induced magnetic frustration in a ferromagnetic pyrochlore
• Loop algorithm for classical antiferromagnetic Heisenberg models with biquadratic interactions
• Collective magnetic state induced by charge disorder in the non-Kramers rare-earth pyrochlore Tb${}_2$ScNbO${}_7$
• Replica theory for disorder-free spin-lattice glass transition on a tree-like simplex network
• Mott transition and anomalous resistive state in the pyrochlore molybdates
• Excitation spectrum and low-temperature magnetism in disordered defect-fluorite Ho2Zr2O7
• Competing Antiferromagnetic and Spin-Glass Phases in a Hollandite Structure