Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid

Abstract

The quantum pyrochlore antiferromagnet is studied by perturbative expansions and exact diagonalization of small clusters. We find that the ground state is a spin-liquid state: The spin-spin correlation functions decay exponentially with distance and the correlation length never exceeds the interatomic distance. The calculated magnetic neutron diffraction cross section is in very good agreement with experiments performed on Y(Sc)Mn2. The low energy excitations are singlet-singlet ones, with a finite spin gap.

4 pages, 4 figures

Cited by in corpus (203)

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• Quantum Excitations in Quantum Spin Ice
• Local spin resonance and spin-Peierls-like phase transition in a geometrically frustrated antiferromagnet
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• Magnetic and Thermodynamic Properties of the Collective Paramagnet-Spin Liquid Pyrochlore Tb2Ti2O7
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• The Challenge of Spin-Orbit-Tuned Ground States in Iridates
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• Orbital and spin chains in ZnV2O4
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• Ordering in the pyrochlore antiferromagnet due to Dzyaloshinsky-Moriya interactions
• Breathing Pyrochlore Lattice Realized in A-Site Ordered Spinel Oxides LiGaCr4O8 and LiInCr4O8
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
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• 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)
• Singlet Excitations in Pyrochlore: A Study of Quantum Frustration
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• Quantum Disordered Ground States in Frustrated Antiferromagnets with Multiple Ring Exchange Interactions
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• Relief of Frustration in the Heisenberg Pyrochlore Antiferromagnet Gd${}_2$Pt${}_2$O${}_7$
• Dzyaloshinsky-Moriya-Induced Order in the Spin-Liquid Phase of the S=1/2 Pyrochlore Antiferromagnet
• Partially disordered state and spin-lattice coupling in an S=3/2 triangular lattice antiferromagnet Ag2CrO2
• Theory of antiferromagnetic Heisenberg spins on breathing pyrochlore lattice
• Zero temperature phases of the frustrated J1-J2 antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice
• Correlations, spin dynamics, defects: the highly-frustrated Kagomé bilayer
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• The classical Generalized Constant Coupling method for Geometrically Frustrated Magnets revisited: Microscopic formulation and effect of perturbations beyond nearest neighbor interactions
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• Coexisting Magnetic Order and Cooperative Paramagnetism in the Stuffed Pyrochlore Tb_{2+x}Ti_{2-2x}Nb_xO_7
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• Spin wave theory study of neutron intensity, magnetic field, and anisotropy of Type IIA FCC antiferromagnet
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• Metal-Insulator Transition and Magnetic Order in the Pyrochlore Oxide Hg2Ru2O7
• Quantum spin liquids: a large-S route
• Spin-fluctuations in the quarter-filled Hubbard ring : significances to LiV${}_2$O${}_4$
• Order-by-disorder without quantum zero-point fluctuations in the pyrochlore Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions
• Magnetization of coupled spin clusters in Ladder Geometry
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Frustrated spin model as a hard-sphere liquid
• Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer
• Thermodynamic Study of Excitations in a 3D Spin Liquid
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Magnetic properties of a capped kagome molecule with 60 quantum spins
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore
• Single-layer tensor network approach for three-dimensional quantum systems
• Inelastic light scattering measurements of a pressure-induced quantum liquid in KCuF${}_3$
• Second cluster integral from the spectrum of an infinite XXZ spin chain
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• The ground state phases of orbitally degenerate spinel oxides
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Double-peak specific heat feature in frustrated antiferromagnetic clusters
• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• Absence of magnetic long range order in Y${}_2$CrSbO${}_7$: bond-disorder induced magnetic frustration in a ferromagnetic pyrochlore
• The quantum spin quadrumer
• On the complexity of spinels: Magnetic, electronic, and polar ground states
• Spin-nematic order in the frustrated pyrochlore-lattice quantum rotor model
• Local spin dynamics in geometrically frustrated Mo pyrochlore antiferromagnet Lu${}_2$Mo${}_2$O${}_{5-y}$N${}_2$
• Hole-doping effects on a frustrated spin ladder
• Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality
• Evidence for spin liquid behavior in the frustrated three-dimensional $S=1/2$ Heisenberg garnet NaCa${}_2$Cu${}_2$(VO${}_4$)${}_3$
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice