On the spontaneous magnetization of the classical Heisenberg ferromagnet

Stephenson, R L; Wood, P.J.

doi:10.1088/0022-3719/3/1/012

Cited by 29 publications

(10 citation statements)

References 4 publications

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“…At smaller values of t, the theory readily reaches the asymptotic spherical regime. Moreover, while in the Ising-model SCOZA the coexistence curve displays a non-classical exponent β = 7/20 [1,14], the Heisenberg coexistence curve predicted by the SCOZA instead is associated with β = 1/2, and is overall considerably narrower than the expected one as given by MC simulations [4] and Padè approximant techniques [8]. (We find however that it displays the correct behavior in the low-temperature limit).…”

Section: Introductionmentioning

confidence: 64%

“…In particular, the theory has already been formulated also for the D-vector model [3], i.e., a system of classical D-dimensional spins with nearest-neighbor interaction. In the present paper the D-vector model SCOZA is further investigated and the simplest version of the SCOZA that we have developed is solved numerically in the case of three-dimensional spins (classical Heisenberg model) on a threedimensional lattice, and the results are compared with Monte Carlo simulations [4,5,6] and Padè approximants based on high-temperature expansions [7,8,9,10,11]. An analysis of what is lacking in this simple application to the D-vector model then guides us in formulating a more sophisticated version of the theory that takes into account the influence of transverse correlations on the longitudinal susceptibility and as a result, yields a more complete and accurate description of the spin-wave properties of the model.…”

Section: Introductionmentioning

confidence: 99%

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Self-consistent Ornstein–Zernike approximation for three-dimensional spins

Pini

Høye²,

Stell

2002

Physica A: Statistical Mechanics and its Applications

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An Ornstein-Zernike approximation for the two-body correlation function embodying thermodynamic consistency is applied to a system of classical Heisenberg spins on a three-dimensional lattice. The consistency condition determined in a previous work is supplemented by introducing a simplified expression for the meansquare fluctuations of the spin on each lattice site. The thermodynamics and the correlations obtained by this closure are then compared with approximants based on extrapolation of series expansions and with Monte Carlo simulations. The comparison reveals that many properties of the model, including the critical temperature, are very well reproduced by this simple version of the theory, but that it shows substantial quantitative error in the critical region, both above the critical temperature and with respect to its rendering of the spontaneous magnetization curve. A less simple but conceptually more satisfactory version of the SCOZA is then developed, but not solved, in which the effects of transverse correlations on the longitudinal susceptibility is included, yielding a more complete and accurate description of the spin-wave properties of the model.

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Section: Introductionmentioning

confidence: 64%

Section: Introductionmentioning

confidence: 99%

Self-consistent Ornstein–Zernike approximation for three-dimensional spins

Pini

Høye²,

Stell

2002

Physica A: Statistical Mechanics and its Applications

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“…[1][2][3][4][5][6][7] This class of materials contains some of the very few ferromagnetic (FM) insulators with a simple rock salt lattice structure. In particular, EuO has an accessible Curie temperature 7 (T c ) of 69 K that is seen to be sensitive to lattice strain.…”

mentioning

confidence: 99%

“…16 Metal-toinsulator transition and colossal magneto-resistance have been reported in EuO systems with electron doping. 14,[17][18][19][20] Much effort has been put into investigating the influence of the substrate on the magnetic properties of EuO [2][3][4][5][6]11,12,21,22 including changes to the Curie temperature (T c ) and critical exponents. Ferroelectric (FE) substrates are unique due to the potential for electric modulation, coming from the ferroelectric polarization reversal, which can be considered as a form of extrinsic electrostatic doping at the FM-FE interfaces.…”

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confidence: 99%

Magnetoelectric coupling at the EuO/BaTiO3 interface

Cao

Liu

Tang

et al. 2013

Applied Physics Letters

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Magnetization modulation by ferroelectric polarization switching is reported for the ferromagnetic-ferroelectric EuO/BaTiO3 heterostructure. The value of the magnetization critical exponent β is consistent with the expected Heisenberg-like ferromagnetism of EuO and reported Curie temperature. The critical exponent is seen to decrease with increased magnetic coupling. The results are discussed in the context of data obtained earlier for epitaxial La0.67Sr0.33MnO3/BaTiO3 heterostructures, where magnetization increases and critical exponent β also declines with ferroelectric polarization pointing away from ferromagnetic layer. The observed similarity between two systems illustrates an importance of charge doping in magnetoelectric coupling, which can be modulated by ferroelectric polarization reversal.

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“…where the kinetic weighting factors ji are given by (7) ji=n;/nex = exp( -E;/kT) /(Qvib-l): (8) ni is the equilibrium number of excited molecules in state i, nex is the total number of equilibrium excited molec:;ules, Ei is the energy of state i, and Qvib is the vibrational partition function. A derivation of Eq.…”

Section: Resultsmentioning

confidence: 99%

Laser induced combination band fluorescence study of vibrational deactivation of ethylene in C2H4-X mixtures

Yuan

Flynn

1973

The Journal of Chemical Physics

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Laser induced fluorescence studies of vibrational deactivation of C2H4 in mixtures with rare gases and diatomic molecules have been made. The experimental results are compared with predictions based on simple vibration-translation and vibration-rotation energy transfer theories. The data is consistent with V-T deactivation of ethylene by light collision partners. For heavy collision partners the experimental results cannot be reasonably described using standard V-T theory. The qualitative trends in the deactivation probability for the heavy collision partners are in the direction predicted by simple, semiempirical V-R calculations.

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On the spontaneous magnetization of the classical Heisenberg ferromagnet

Cited by 29 publications

References 4 publications

Self-consistent Ornstein–Zernike approximation for three-dimensional spins

Self-consistent Ornstein–Zernike approximation for three-dimensional spins

Magnetoelectric coupling at the EuO/BaTiO3 interface

Laser induced combination band fluorescence study of vibrational deactivation of ethylene in C2H4-X mixtures

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