Effect of magnetoelastic coupling on spin-glass behavior in Heisenberg pyrochlore antiferromagnets with bond disorder

Abstract

Motivated by puzzling aspects of spin-glass behavior reported in frustrated magnetic materials, we theoretically investigate effects of magnetoelastic coupling in geometrically frustrated classical spin models. In particular, we consider bond-disordered Heisenberg antiferromagnets on a pyrochlore lattice coupled to local lattice distortions. By integrating out the lattice degree of freedom, we derive an effective spin-only model, the bilinear-biquadratic model with bond disorder, which is analyzed by classical Monte Carlo simulations. First, we discuss the phase diagrams as well as thermodynamic and magnetic properties. We show that the spin-glass transition temperature is largely enhanced by the spin-lattice coupling $b$ in the weakly disordered regime. This enhancement is ascribed to the suppression of thermal fluctuations in semidiscrete degenerate manifold formed in the presence of the spin-lattice coupling. We also find that, as increasing the strength of disorder, the system shows a concomitant transition of the nematic order and spin glass at a temperature determined by $b$, being almost independent of bond disorder. Although further-neighbor exchange interactions originating in the cooperative lattice distortions result in the spin-lattice order in the weakly disordered regime, the concomitant transition remains robust. We investigate the nature of the concomitant transition by analyzing the hysteresis of the magnetic susceptibility, the nonlinear susceptibility, and the specific heat. Furthermore, we discuss linear and nonlinear magnetic susceptibilities in the high-temperature paramagnetic phase as well as single-spin flip dynamics in the nematic phase. All these results are discussed in comparison with experiments for typical pyrochlore magnets, such as Y2Mo2O7 and ZnCr2O4.

arXiv comment24 pages, 24 figures

References in corpus (43)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Magnetic Pyrochlore Oxides
• Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets
• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Signature of magnetic monopole and Dirac string dynamics in spin ice
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Order by distortion and string modes in pyrochlore antiferromagnet
• Static Critical Behavior of the Spin-Freezing Transition in the Geometrically Frustrated Pyrochlore Antiferromagnet Y2Mo2O7
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Spin-Peierls phases in pyrochlore antiferromagnets
• Spin-lattice instability to a fractional magnetization state in the spinel HgCr2O4
• 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)
• Absence of an Almeida-Thouless line in Three-Dimensional Spin Glasses
• 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
• Magnetization process of spin ice in a [111] magnetic field
• Debye-Hückel theory for spin ice at low temperature
• Thermal quenches in spin ice
• Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
• Finite Temperature Transitions in Large Magnetic Field in Dipolar Spin Ice
• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• Frustration driven lattice distortion; an NMR investigation of Y2Mo2O7
• Liquid-like correlations in single crystalline Y2Mo2O7: an unconventional spin glass
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• From Spin Glass to Quantum Spin Liquid Ground States in Molybdate Pyrochlores
• 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
• Spin-glass transition in bond-disordered Heisenberg antiferromagnets coupled with local lattice distortions on a pyrochlore lattice
• A Monte Carlo study of O(3) antiferromagnetic models in three dimensions
• Spin ice under pressure: symmetry enhancement and infinite order multicriticality
• A Novel Pyrochlore Ruthenate: Ca2Ru2O7
• A quest for frustration driven distortion in Y2Mo2O7
• Spin-orbital frustration in pyrochlores A2Mo2O7
• Scaling Analysis of Domain-Wall Free-Energy in the Edwards-Anderson Ising Spin Glass in a Magnetic Field
• 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
• A generalized Monte Carlo loop algorithm for frustrated Ising models
• Critical property of spin-glass transition in a bond-disordered classical antiferromagnetic Heisenberg model with a biquadratic interaction
• Loop algorithm for classical antiferromagnetic Heisenberg models with biquadratic interactions

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• Relaxational processes in the one-dimensional Ising model with long-range interactions
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