Inelastic Neutron Scattering from Mn<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>in the Critical Region

Schulhof, M. P.; Nathans, R.; Heller, Peter; Linz, A.

doi:10.1103/physrevb.4.2254

Cited by 114 publications

(40 citation statements)

References 64 publications

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“…Magnons with q/qmax = 0 persist into the paramagnetic phase. That the boson guiding eld in MnF 2 is 1D reveals clearly from measurements of the staggered susceptibility using elastic neutron scattering [6]. It can be seen in Fig.…”

Section: Independence Of the Dynamics On Atomistic Interactionsmentioning

confidence: 77%

“…Since emission and absorption of * corresponding author; e-mail: u.koebler@fz-juelich.de magnetic dipole radiation are weak processes the approximation of freely propagating eld quanta is well justied. [5,6]. In the range ≈ 0.25 < q/qmax < 1 the two dispersion branches precisely follow sine functions.…”

Section: Independence Of the Dynamics On Atomistic Interactionsmentioning

confidence: 89%

“…2. Log-log plot of longitudinal and transverse staggered susceptibility of MnF2 as a function of (T − TN) [6,10]. Only the longitudinal susceptibility diverges in this 1D antiferromagnet.…”

Section: Independence Of the Dynamics On Atomistic Interactionsmentioning

confidence: 99%

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Dimensionality in Field Theory and in Spin Wave Theory

Köbler

Hoser

2015

Acta Phys. Pol. A

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The dierent meaning of dimensionality and universality in eld theory and in spin wave theory is illustrated on account of experimental examples. In spin wave theory it is distinguished between the dimensionality of the spin and the dimensionality of the exchange interactions. According to Renormalization Group (RG) theory, these atomistic characteristics are unimportant for the critical dynamics. Instead by inter-atomic interactions the dynamics of the ordered state is determined by the excitations of the continuous magnetic medium. These excitations are bosons. Consequently, the dimensionality of ordered magnets has to be assessed to the dimensionality of the relevant boson eld. The most serious consequence of RG theory is that the magnetic ordering transition also is executed by the boson eld. Typical for boson dynamics is a nite width of the critical range. In the atomistic models universality applies asymptotically at Tc only. It is evident that the critical power functions of the eld dynamics are dierent from those of the atomistic dynamics.

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Section: Independence Of the Dynamics On Atomistic Interactionsmentioning

confidence: 77%

Section: Independence Of the Dynamics On Atomistic Interactionsmentioning

confidence: 89%

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Dimensionality in Field Theory and in Spin Wave Theory

Köbler

Hoser

2015

Acta Phys. Pol. A

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“…Using the Ising value ν = 0.6289(8) from a high resolution Monte Carlo study [6] and α = 0.110(5) from field theory [7], the latter prediction is z = 2.175 (10). Experiments on FeF 2 [4] have not had enough resolution to distinguish between these two predictions, and on MnF 2 [5] the exponent obtained was that of the isotropic antiferromagnet, z = 1.5. Presumably this very low value is due to crossover effects resulting from the weak anisotropy in MnF 2 .…”

Section: Introductionmentioning

confidence: 99%

“…The effect of uniaxial anisotropy on the critical dynamics has been the subject of many theoretical [1,2,3] and experimental studies [4,5]. Although both indicate that the dynamic structure factor has a dominant purely diffusive longitudinal component and a suppressed propagative transverse component, there is still controversy about the dynamic critical exponent z.…”

Section: Introductionmentioning

confidence: 99%

Dynamic critical behavior of the classical anisotropic BCC Heisenberg antiferromagnet

Tsai

Bunker

Landau

2002

Computer Physics Communications

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Using a recently implemented integration method [Krech et. al.] based on an iterative secondorder Suzuki-Trotter decomposition scheme, we have performed spin dynamics simulations to study the critical dynamics of the BCC Heisenberg antiferromagnet with uniaxial anisotropy. This technique allowed us to probe the narrow asymptotic critical region of the model and estimate the dynamic critical exponent z = 2.25 ± 0.08. Comparisons with competing theories and experimental results are presented.

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9.1.5 References for 9.1

Katsumata¹

Halides I

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Inelastic Neutron Scattering from MnF2in the Critical Region

Cited by 114 publications

References 64 publications

Dimensionality in Field Theory and in Spin Wave Theory

Dimensionality in Field Theory and in Spin Wave Theory

Dynamic critical behavior of the classical anisotropic BCC Heisenberg antiferromagnet

9.1.5 References for 9.1

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