Theory of the copper nuclear spin-lattice relaxation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CuGeO</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Zavidonov, A. Yu.; Larionov, I. A.; Itoh, Makoto

doi:10.1103/physrevb.61.11625

Cited by 2 publications

(1 citation statement)

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“…Relaxing dimers in the S ¼ 1=2 AF Heisenberg model were studied theoretically. 35,36 The predictions of the theory 36 fitted the experimental data very well and reproduced the main features of the temperature dependence of the relaxation rate. The experimental investigations of the relaxation mechanisms around a new configuration (D 0f ) on several compounds made the dimerized spin models a very challenging problem so far.…”

Section: Relaxation Equation and Spin-lattice Relaxation Timementioning

confidence: 65%

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: 65%