<i>Effective Field Theories of Magnetism</i>

Smart, J. S.; Vleck, J. H. Van

doi:10.1063/1.3048415

Cited by 679 publications

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“…17 To test this assumption, we analyzed the temperature dependence of the resonant signals by assuming a mean field model. The reduced sublattice magnetization can be written 19 as…”

Section: Discussionmentioning

confidence: 99%

Strong coupling between the spin polarization of Mn and Tb in multiferroicTbMnO3determined by x-ray resonance exchange scattering

et al. 2007

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We report on an x-ray resonance exchange scattering ͑XRES͒ study of multiferroic TbMnO 3 . Magnetic scattering is observed close to the Mn K edge and the Tb L III and L II edges. Surprisingly, Tb shows XRES also in the paraelectric phase, where neutron diffraction results suggested the 4f moments to be disordered. The temperature dependence of the XRES intensities shows a distinct kink close to the ferroelectric transition temperature T C for all absorption edges. We were able to model the temperature dependence for all edges, assuming a strong coupling of Mn and Tb magnetism via the spin polarized 5d conduction band. We argue that the hybridization between Mn and Tb states is a prerequisite for the multiferroic effect in this material.

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“…17 To test this assumption, we analyzed the temperature dependence of the resonant signals by assuming a mean field model. The reduced sublattice magnetization can be written 19 as…”

Section: Discussionmentioning

confidence: 99%

Strong coupling between the spin polarization of Mn and Tb in multiferroicTbMnO3determined by x-ray resonance exchange scattering

et al. 2007

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“…As discussed in Ref. 42, the classical antiferromagnetic Type I ordering occurs when J 1 > 0, J 2 < 0. Here we have used J 1 = 1, J 2 = −1.…”

Section: A Diagonalization Of a Four-spin Systemmentioning

confidence: 99%

Effective Hamiltonian and low-lying eigenenergy clustering patterns of four-sublattice antiferromagnets

et al. 2002

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We study the low-lying energy clustering patterns of quantum antiferromagnets with p sublattices (in particular p = 4). We treat each sublattice as a large spin, and using second-order degenerate perturbation theory, we derive the effective (biquadratic) Hamiltonian coupling the p large spins. In order to compare with exact diagonalizations, the Hamiltonian is explicitly written for a finite-size lattice, and it contains information on energies of excited states as well as the ground state. The result is applied to the face-centered-cubic Type I antiferromagnet of spin 1/2, including secondneighbor interactions. A 32-site system is exactly diagonalized, and the energy spectrum of the low-lying singlets follows the analytically predicted clustering pattern.

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“…In particular, an expansion of the Brillouin function, B Jα (ξ α ), into the Maclaurin series is reasonable for small values of the argument ξ only [33,34], that is, at high temperatures or weak "exchange" interaction between the magnetic moments. This does not always satisfy the actual alloy requirements and the practical interests.…”

Section: Statistical Thermodynamics Model Of Fcc-ni-fe Alloys Undementioning

confidence: 99%

“…On the other hand, in case of elastic thermal-neutron scattering, this requirement is not necessary; nevertheless, in order to increase the diffractedbeam intensity, one should use the Ni-Fe alloy samples containing stable isotopes (in particular, 62 Ni atoms). σ α is the magnetic LRO parameter (i.e., reduced magnetization per atom) of α-th atomic-moment subsystem; B Jα (ξ α ) is the conventional Brillouin function [33,34] defined as…”

Section: Statistical Thermodynamics Model Of Fcc-ni-fe Alloys Undementioning

confidence: 99%

Thermodynamics of f.c.c.-Ni–Fe Alloys in a Static Applied Magnetic Field

Vernyhora

Tatarenko

Bokoch

2012

ISRN Thermodynamics

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Within the scope of the self-consistent field and mean ("molecular") self-consistent field approximations, applying the static concentration wave method, the thermodynamics of f.c.c.-Ni-Fe alloys undergoing the static applied magnetic field effects is studied in detail. Under such conditions, the analytical corrections to expressions for the configuration-dependent part of free energy of macroscopically ferromagnetic L1 2 -Ni 3 Fe-type or L1 0 -NiFe-type ordering phases are taken into account. The obtained results for thermodynamically equilibrium states are compared with the refined phase diagram for f.c.c.-Ni-Fe alloys calculated recently without taking into account the applied magnetic field effects. Considering the specific character of microscopic structure of the magnetic and atomic orders in f.c.c.-Ni-Fe alloys, the changes of shape (and in arrangement) of order-disorder phase-transformation curves (Kurnakov points) are thoroughly analysed. A special attention is addressed to the investigation of the concentration, temperature, and magnetic-field induction-dependent atomic and magnetic long-range order parameters, especially, near their critical points. As revealed unambiguously, influence of a static applied magnetic field promotes the elevation of Kurnakov points for all the atomically ordering phases that is in an overall agreement with reliable experimental data. On the base of revealed phenomenon, the magneto external field analog-to-digital converter of the monochromatic radiations (X-rays or thermal neutrons) is hypothesized as a claim.

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Effective Field Theories of Magnetism

Cited by 679 publications

References 0 publications

Strong coupling between the spin polarization of Mn and Tb in multiferroicTbMnO3determined by x-ray resonance exchange scattering

Strong coupling between the spin polarization of Mn and Tb in multiferroicTbMnO3determined by x-ray resonance exchange scattering

Effective Hamiltonian and low-lying eigenenergy clustering patterns of four-sublattice antiferromagnets

Thermodynamics of f.c.c.-Ni–Fe Alloys in a Static Applied Magnetic Field

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