Spin stiffness and quantum fluctuations in C-type and A-type antiferromagnets

Abstract

We present a systematic study of quantum fluctuations in the C-type and A-type antiferromagnetic (AF) phases in cubic lattices and in bilayer systems. Using the linear spin-wave theory, we show that the spin stiffness and the quantum corrections to the order parameter and energy obtained for C-AF and A-AF phases decrease with the increasing number of ferromagnetic bonds. Therefore, the quantum spin effects in LaMnO_3 and in LaVO_3 are rather small, suggesting the magnetic moments of 3.91 and 1.89 Bohr's magneton, respectively. They cannot explain the strong reduction of the magnetic order parameter observed in cubic vanadates.

6 pages, 4 figures

References in corpus (6)

• Fermi Surface Nesting and Nanoscale Fluctuating Charge/Orbital Ordering in Colossal Magnetoresistive Oxides
• Spin Order due to Orbital Fluctuations: Cubic Vanadates
• Re-examination of orbital ordering in LaMnO${}_3$: Electron-electron and electron-lattice interactions
• Spectacular doping dependence of interlayer exchange and other results on spin waves in bilayer manganites
• Spin dynamical properties and orbital states of the layered perovskite La_2-2x_Sr_1+2x_Mn_2_O_7 (0.3 <= x < 0.5)
• Ground-state properties of two-dimensional dimerized Heisenberg models

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• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• Low-energy Mott-Hubbard excitations in LaMnO_3 probed by optical ellipsometry
• One-dimensional orbital fluctuations and the exotic magnetic properties of YVO${}_3$
• Direct calculation of the spin stiffness on square, triangular and cubic lattices using the coupled cluster method
• Magnetic properties of nanoscale compass-Heisenberg planar clusters
• Determination of the exchange anisotropy in perovskite antiferromagnets using powder inelastic neutron scattering
• Exotic spin orders driven by orbital fluctuations in the Kugel-Khomskii model
• Spinon confinement: dynamics of weakly coupled Hubbard chains
• Charge and orbital order in transition metal oxides
• Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study
• Spin--orbital physics in transition metal oxides
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Interplay of orbitally polarized and magnetically ordered phases in doped transition metal oxides