Magnetic transition and orbital degrees of freedom in vanadium spinels

Abstract

We propose a scenario for the two phase transitions in $A$V${}_2$O${}_4$ ($A$=Zn, Mg, Cd), based on an effective spin-orbital model on the pyrochlore lattice. At high temperatures, spin correlations are strongly frustrated due to the lattice structure, and the transition at $\sim$50 [K] is an orbital order, supported by Jahn-Teller lattice distortion. This orbital order introduces spatial modulation of spin exchange couplings depending on the bond direction. This partially releases the frustration, and leads to a spin order at $\sim$40 [K]. We also study the stable spin configuration by taking account of third-neighbor exchange couplings and quantum fluctuations. The result is consistent with the experimental results.

arXiv comment4 pages, 4 figures, submitted to Phys. Rev. B

References in corpus (8)

• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Order by distortion and string modes in pyrochlore antiferromagnet
• Spin Driven Jahn-Teller Distortion in a Pyrochlore system
• Spin-Peierls phases in pyrochlore antiferromagnets
• Singlet Excitations in Pyrochlore: A Study of Quantum Frustration
• Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
• Electronic structure of spinel-type LiV_2O_4
• Frustrated Heisenberg antiferromagnet on a pyrochlore lattice

Cited by in corpus (77)

• Orbitally-driven Peierls state in spinels
• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice
• Orbital physics in transition metal compounds: new trends
• Magnetic and orbital ordering in the spinel MnV2O4
• Structural, orbital, and magnetic order in vanadium spinels
• Orbital and spin chains in ZnV2O4
• Orbital ordering phenomena in $d$- and $f$-electron systems
• Spin-lattice instability to a fractional magnetization state in the spinel HgCr2O4
• Structural instability of the rutile compounds and its relevance to the metal-insulator transition of VO2
• Pressure- and Field-Tuning the Magnetostructural Phases of Mn3O4: Raman Scattering and X-Ray Diffraction Studies
• Spin and Orbital Order of the Vanadium Spinel MgV2O4
• Orbital order in ZnV${}_2$O${}_4$
• Magnetic order and ice rules in the multiferroic spinel FeV2O4
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Orbital and magnetic transitions in geometrically-frustrated vanadium spinels -- Monte Carlo study of an effective spin-orbital-lattice coupled model --
• Valence bond crystal in a pyrochlore antiferromagnet with orbital degeneracy
• Enhanced Pressure Dependence of Magnetic Exchange in A2+[V2]O4 Spinels Approaching the Itinerant Electron Limit
• Band Jahn-Teller Instability and Formation of Valence Bond Solid in a Mixed-Valent Spinel Oxide LiRh2O4
• Mapping the magneto-structural quantum phases of Mn3O4
• Orbital order in vanadium spinels
• Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field
• Monte Carlo study of half-magnetization plateau and magnetic phase diagram in pyrochlore antiferromagnetic Heisenberg model
• Advances in ab-initio theory of Multiferroics. Materials and mechanisms: modelling and understanding
• Quantum 120-degree model on pyrochlore lattice: orbital ordering in MnV2O4
• Universal magnetic structure of the half-magnetization phase in Cr-based spinels
• Structural transition and orbital glass physics in near itinerant CoV2O4
• Frustrated Magnetism in Fluoride and Chalcogenide Pyrochlore Lattice Materials
• Strong competition between orbital-ordering and itinerancy in a frustrated spinel vanadate
• AC susceptibility and ${}^{51}$V NMR study of MnV${}_2$O${}_4$
• Valence-Bond Crystal, and Lattice Distortions in a Pyrochlore Antiferromagnet with Orbital Degeneracy
• Spin superstructure and noncoplanar ordering in metallic pyrochlore magnets with degenerate orbitals
• Magnetic Structure and Interactions in the Quasi-1D Antiferromagnet CaV${}_2$O${}_4$
• Effective Hamiltonian for the Pyrochlore antiferromagnet: semiclassical derivation and degeneracy
• Magnon spectra and strong spin-lattice coupling in magnetically frustrated MnB2O4 (B = Mn,V): Inelastic light scattering studies
• Orbital ordering in the geometrically frustrated MgV${}_2$O${}_4$: \emph{Ab initio} electronic structure calculations
• Dzyaloshinsky-Moriya-Induced Order in the Spin-Liquid Phase of the S=1/2 Pyrochlore Antiferromagnet
• Two inequivalent sublattices and orbital ordering in MnV2O4 studied by 51V NMR
• Effect of pressure on the electronic and magnetic properties of CdV${}_2$O${}_4$: Density functional theory studies
• Orbital and spin interplay in spin-gap formation in pyroxene titanium oxides ATiSi2O6 (A=Na, Li)
• Neel to Spin-Glass-like Phase Transition versus Dilution in Geometrically Frustrated ZnCr_{2-2x}Ga_{2x}O_4
• Orbital multicriticality in spin gapped quasi-1D antiferromagnets
• Magnons and a two-component spin gap in FeV2O4
• Effect of spin-orbit coupling on magnetic and orbital order in MgV${}_2$O${}_4$
• Magnetic Field Induced Transition in Vanadium Spinels
• KAgF3: quasi-one-dimensional magnetism in three-dimensional magnetic ions sublattice
• Large-J approach to strongly coupled spin-orbital systems
• Effective Hamiltonians for large-S pyrochlore antiferromagnet
• Model for frustrated spin-orbital chains: application to CaV2O4
• Magnetic excitations in vanadium spinels
• Magnetic excitations and anomalous spin wave broadening in multiferroic FeV2O4
• Orbital Ordering in Fe${}_{1-x}$Mn${}_x$V${}_2$O${}_4$: A First Principles Study
• Multiple lattice instabilities resolved by magnetic-field and disorder sensitivities in cubic paramagnetic phase of the orbital-degenerate frustrated spinel MgV${}_2$O${}_4$
• Orbital disorder induced by charge fluctuations in vanadium spinels
• Exchange constants and spin waves of the orbital ordered, non-collinear spinel MnV${}_2$O${}_4$
• Cooperative orbital ordering and Peierls instability in the checkerboard lattice with doubly degenerate orbitals
• Electronic States and Possible Origin of the Orbital-Glass State in a Nearly Metallic Spinel Cobalt Vanadate: An X-ray Magnetic Circular Dichroism Study
• Spin Canting and Orbital Order in Spinel Vanadate Thin Films
• A variety of elastic anomalies in orbital-active nearly-itinerant cobalt vanadate spinel
• Spin-orbital correlations from complex orbital order in MgV${}_2$O${}_4$
• Phonon dispersion, Raman spectra and evidence for spin-phonon coupling in MnV${}_2$O${}_4$ from first-principles
• Self-consistent evaluation of effective Coulomb interaction of V atom and its importance to understand the comparative electronic behaviour of vanadium spinels
• Quantum criticality of vanadium chains with strong relativistic spin-orbit interaction
• Transverse acoustic phonon anomalies at intermediate wavevectors in MgV${}_2$O${}_4$
• Limitations of unconstrained LSDA+$U$ calculations in predicting the electronic and magnetic ground state of a geometrically frustrated ZnV${}_2$O${}_4$ compound
• Density matrix approach to the orbital ordering in the spinel vanadates: A case study
• Orbital ordering and one-dimensional magnetic correlation in vanadium spinel oxides AV2O4 (A = Zn, Mg, or Cd)
• Role of orbital degrees of freedom in investigating the magnetic properties of geometrically frustrated vanadium spinels
• Suppression of Spin Frustration due to Orbital Selection
• The ground state phases of orbitally degenerate spinel oxides
• On the complexity of spinels: Magnetic, electronic, and polar ground states
• Electronic structure study of vanadium spinels by using density functional theory and dynamical mean field theory
• Spin Frustration and Orbital Order in Vanadium Spinels
• Quantum Monte-Carlo study of magnetic ordering in ZnV2O4
• Frustrated Kondo chains and glassy magnetic phases on the pyrochlore lattice
• Orbital order and electron itinerancy in CoV${}_2$O${}_4$ and Mn${}_{0.5}$Co${}_{0.5}$V${}_2$O${}_4$ from first principles
• The role of ionic sizes in inducing the cubic to tetragonal distortion in AV${}_2$O${}_4$ and ACr${}_2$O${}_4$ (A=Zn, Mg and Cd) compounds