Spin time-relaxation within strongly coupled paramagnetic systems exhibiting paramagnetic–ferrimagnetic transitions

Chahid, M.; Benhamou, M.

doi:10.1016/s0304-8853(00)00396-6

Cited by 3 publications

(3 citation statements)

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“…1 of Ref. 49 that the temperature dependencies of the relaxation times for equilibrium magnetization of the Blume-Capel model and static overall magnetization exhibit a divergence behaviour at the second-order phase transition temperatures. In accordance with this result, we have also found similar divergence at the second-order SP transition point with MFA exponents k h ¼ À1 and k h ¼ À2=3 (see for details Figs.…”

Section: Relaxation Equation and Spin-lattice Relaxation Timementioning

confidence: 90%

“…Our kinetic model calculations in the neighborhood of SP transition point are naturally the same as those for critical relaxation of magnetization within the Ising-like magnetic models 46 as well as the spin time relaxation within superweak ferrimagnetic materials exhibiting paramagnetic-ferrimagnetic transitions. 49 It can easily be seen from Fig. 2 of Ref.…”

Section: Relaxation Equation and Spin-lattice Relaxation Timementioning

confidence: 91%

“…Equation (24) is also called the characteristic frequency expression (x q ¼ s À1 q ). 49,54 In Fig. 7, we draw the schematic variation of s À1 q with the wave vector modulus q ¼ jqj for several values of J at h ¼ 0:9 and h ¼ 0:1.…”

Section: Spatial Fluctuations Effectsmentioning

confidence: 99%

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Spin-lattice relaxation within a dimerized Ising chain in a magnetic field

Erdem

Gulpinar

Yalçın

et al. 2014

Journal of Applied Physics

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Articles you may be interested inMagnetic specific heat studies of two Ising spin 1/2 chain systems M(N3)2(bpy) J. Appl. Phys. 111, 07B332 (2012); 10.1063/1.3679005 Magnetoelectric coupling induced by exchange striction in frustrated Ising spin chain: Monte Carlo simulation J. Appl. Phys. 105, 033907 (2009); 10.1063/1.3077261Critical behaviors of the sound attenuation in a spin-1 Ising model A qualitative study of the spin-lattice relaxation within a dimerized Ising chain in a magnetic field is presented. We have first determined the time dependence of the deviation of the lattice distortion parameter dD from the equilibrium state within framework of a technique combining the statistical equilibrium theory based on the transfer matrix method and the linear theory of irreversible thermodynamics. We have shown that the time dependence of the lattice distortion parameter is characterized by a single time constant (s) which diverges around the critical point in both dimerized (D 6 ¼ 0) and uniform (D ¼ 0) phase regions. When the temperature and magnetic field are fixed to certain values, the time s depends only on exchange coupling between the spins. It is a characteristic time associated with the long wavelength fluctuations of distortion. We have also taken into account the effects of spatial fluctuations on the relaxation time using the full Landau-Ginzburg free energy functional. We have found an explicit expression for the relaxation time as a function of temperature, coupling constant and wave vector (q) and shown that the critical mode corresponds to the case q ¼ 0. Finally, our results are found to be in good qualitative agreement with the results obtained in recent experimental study on synchrotron x-ray scattering and muon spin relaxation in diluted material Cu 1Ày Mg y GeO 3 where the composition y is very close to 0.0209. These results can be considered as natural extensions of some previous works on static aspects of the problem. V C 2014 AIP Publishing LLC. [http://dx.doi.org/10.1063/1.4890636] FIG. 4. The SLR time Cs versus temperature (h) at the fixed AF coupling J ¼ À0.2 for the magnetic field h ¼ 0.1. FIG. 5. The SLR time Cs versus magnetic field (h) at the fixed AF coupling J ¼ À0.2 for the temperature h ¼ 0.9. 034908-4Erdem et al.

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Section: Relaxation Equation and Spin-lattice Relaxation Timementioning

confidence: 90%

Section: Relaxation Equation and Spin-lattice Relaxation Timementioning

confidence: 91%