Magnetic susceptibility of diluted pyrochlore and SCGO antiferromagnets

Abstract

We investigate the magnetic susceptibility of the classical Heisenberg antiferromagnet with nearest-neighbour interactions on the geometrically frustrated pyrochlore lattice, for a pure system and in the presence of dilution with nonmagnetic ions. Using the fact that the correlation length in this system for small dilution is always short, we obtain an approximate but accurate expression for the magnetic susceptibility at all temperatures. We extend this theory to the compound SrCr_{9-9x}Ga_{3+9x}O_{19} (SCGO) and provide an explanation of the phenomenological model recently proposed by Schiffer and Daruka [Phys. Rev. B56, 13712 (1997)].

arXiv comment4 pages, Latex, 4 postscript figures automatically included

References in corpus (6)

• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Static Critical Behavior of the Spin-Freezing Transition in the Geometrically Frustrated Pyrochlore Antiferromagnet Y2Mo2O7
• Muon Spin Relaxation Investigation of the Spin Dynamics of Geometrically Frustrated Antiferromagnets Y2Mo2O7 and Tb2Mo2O7 Static Critical Behavior of the Spin-Freezing
• Classical Spin Liquid: Exact Solution for the Infinite-Component Antiferromagnetic Model on the Kagomé Lattice
• The Kagome Antiferromagnet with Defects: Satisfaction, Frustration, and Spin Folding in a Random Spin System

Cited by in corpus (48)

• Emergent excitations in a geometrically frustrated magnet
• Dipolar spin correlations in classical pyrochlore magnets
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Power-law spin correlations in pyrochlore antiferromagnets
• Theory of the [111] magnetization plateau in spin ice
• Order induced by dipolar interactions in a geometrically frustrated antiferromagnet
• Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants
• Aging in a topological spin glass
• Susceptibility and dilution effects of the kagome bi-layer geometrically frustrated network. A Ga-NMR study of SrCr_(9p)Ga_(12-9p)O_(19)
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• Quantum and thermal spin relaxation in diluted spin ice: Dy(2-x)MxTi2O7 (M = Lu, Y)
• Quantum tetrahedral mean field theory of the magnetic susceptibility for the pyrochlore lattice
• Ga NMR study of the local susceptibility in SrCr8Ga4O19: pseudogap and paramagnetic defects
• Ground state properties of a fully frustrated quantum spin system
• Magnetic excitations of the classical spin liquid MgCr2O4
• Dirty Spin Ice: The Effect of Dilution on Spin Freezing in Dy2Ti2O7
• Fractional spin textures in the frustrated magnet SrCr${}_{9p}$Ga${}_{12-9p}$O${}_{19}$
• Intrinsic susceptibility and bond defects in the novel 2D frustrated antiferromagnet Ba${}_2$Sn${}_2$ZnCr${}_{7p}$Ga${}_{10-7p}$O${}_{22}$
• Corrections to Pauling residual entropy and single tetrahedron based approximations for the pyrochlore lattice Ising antiferromagnet
• Classical spin-liquid on the maximally frustrated honeycomb lattice
• Classical Heisenberg antiferromagnet on a garnet lattice: a Monte Carlo simulation
• Interplay of Spin and Lattice Degrees of Freedom in the Frustrated Antiferromagnet CdCr_2O_4: High-field and Temperature Induced Anomalies of the Elastic Constants
• Vacancy-induced spin textures and their interactions in a classical spin liquid
• Aging and memory properties of topologically frustrated magnets
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
• Correlations, spin dynamics, defects: the highly-frustrated Kagomé bilayer
• Classical heisenberg antiferromagnet away from the pyrochlore lattice limit: entropic versus energetic selection
• Neel to Spin-Glass-like Phase Transition versus Dilution in Geometrically Frustrated ZnCr_{2-2x}Ga_{2x}O_4
• Emergent moments and random singlet physics in a Majorana spin liquid
• Semiclassical degeneracies and ordering for highly frustrated magnets in a field
• Quantum generalized constant coupling model for geometrically frustrated antiferromagnets
• Maxwell electromagnetism as an emergent phenomenon in condensed matter
• Random Coulomb antiferromagnets: from diluted spin liquids to Euclidean random matrices
• Classical generalized constant coupling model for geometrically frustrated antiferromagnets
• Orphan spins and bound in-gap states in the $S=\frac{5}{2}$ antiferromagnet CaFe${}_2$O${}_4$
• Quantum half-orphans in kagome antiferromagnets
• The classical Generalized Constant Coupling method for Geometrically Frustrated Magnets revisited: Microscopic formulation and effect of perturbations beyond nearest neighbor interactions
• Inhomogeneous magnetism in the doped kagome lattice of LaCuO2.66
• Landau Expansion for the Kugel-Khomskii $t_{2g}$ Hamiltonian
• Effects of site dilution on the magnetic properties of geometrically frustrated antiferromagnets
• Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer
• Thermodynamic Study of Excitations in a 3D Spin Liquid
• Fragile spin liquid in three dimensions
• Irrational moments and signatures of higher-rank gauge theories in diluted classical spin liquids
• Magnetic susceptibility of frustrated spin-s J1-J2 quantum Heisenberg magnets: High-temperature expansion and exact diagonalization data
• Quantum Systems Exactly
• Defect-induced spin textures in magnetic solids