Nuclear relaxations due to paramagnetic impurities in two-level systems

Buishvili, L. L.; Buishvili, T. L.; Zakharov, L. Zh.; Lepsveridze, R. L.; Topchishvili, G. L.

doi:10.1134/1.1130016

Cited by 8 publications

(17 citation statements)

References 4 publications

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“…The calculation presented in this paper can be said to show that the NSO method has provided a compact and efficient tool for description of the spin relaxation dynamics. In this respect, the present treatment may be regarded as a complement of the Buishvili and Zubarev 23 seminal treatment.…”

Section: Discussionmentioning

confidence: 99%

“…This theoretical approach was further developed in many works. 9,23,26,33,76,77 In the previous section, we have discussed a simple calculation of the longitudinal nuclear spin relaxation time within the NSO approach. Here we shall extend this treatment in order to obtain a more sophisticated description of the spin dynamics.…”

Section: Spin Diffusion Of Nuclear Magnetic Momentmentioning

confidence: 99%

“…The theory of nuclear spin diffusion in the ferromagnets of certain type was considered in Ref. 41. The theory of the dynamic polarization of nuclei and nuclear relaxation for the case of strong saturation was analyzed in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Buishvili 40 developed a quantum-statistical theory of the dynamic polarization of nuclei by taking into account diffusion of nuclear spins as well as dipole interaction of electron spins. Buishvili and Zubarev 23 developed a successive theory of spin diffusion in crystals. The nuclear diffusion in diamagnetic solids with paramagnetic impurities was analyzed by the method of the statistical operator for nonequilibrium systems.…”

Section: Introductionmentioning

confidence: 99%

“…The characteristic time T 2 determines the relaxation of the transversal spin components due to the spin-spin interactions. The relaxation processes in spin systems have been investigated by a number of authors 8,14,[20][21][22][23][25][26][27][28]33,37 to obtain qualitative and quantitative information about irreversible spin-spin and spin-lattice processes in spin systems. The method of many of these papers was to develop an equation of motion for the reduced density matrix 12,13,16,17 describing the spin system, and was found to be most useful when the perturbation responsible for the relaxation of the spin system had a very short correlation time.…”

Section: Introductionmentioning

confidence: 99%

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Statistical Theory of Spin Relaxation and Diffusion in Solids

Kuzemsky

2006

J Low Temp Phys

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A comprehensive theoretical description is given for the spin relaxation and diffusion in solids. The formulation is made in a general statistical-mechanical way. The method of the nonequilibrium statistical operator (NSO) developed by Zubarev is employed to analyze a relaxation dynamics of a spin subsystem. Perturbation of this subsystem in solids may produce a nonequilibrium state which is then relaxed to an equilibrium state due to the interaction between the particles or with a thermal bath (lattice). The generalized kinetic equations were derived previously for a system weakly coupled to a thermal bath to elucidate the nature of transport and relaxation processes. In this paper, these results are used to describe the relaxation and diffusion of nuclear spins in solids. The aim is to formulate a successive and coherent microscopic description of the nuclear magnetic relaxation and diffusion in solids. The nuclear spin-lattice relaxation is considered and the Gorter relation is derived. As an example, a theory of spin diffusion of the nuclear magnetic moment in dilute alloys (like Cu-Mn) is developed.It is shown that due to the dipolar interaction between host nuclear spins and impurity spins, a nonuniform distribution in the host nuclear spin system will occur and consequently the macroscopic relaxation time will be strongly determined by the spin diffusion. The explicit expressions for the relaxation time in certain physically relevant cases are given.

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Section: Discussionmentioning

confidence: 99%

Section: Spin Diffusion Of Nuclear Magnetic Momentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Statistical Theory of Spin Relaxation and Diffusion in Solids

Kuzemsky

2006

J Low Temp Phys

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Low-Temperature Nuclear Spin-Lattice Relaxation in Amorphous Materials

Buishvili

Giorgadze

Zakharov

1998

phys. stat. sol. (b)

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The low temperature nuclear spin±lattice relaxation mechanism caused by the effective interaction between nuclear spins and two-level systems (TLS), arising from a paramagnetic centre interaction with TLS by means of g-factor modulation and the electron±nuclear dipole±dipole interaction, is investigated. It is shown, that this mechanism of the nuclear spin±lattice relaxation is effective under definite conditions.

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NQR Spin Diffusion in an Inhomogeneous Internal Field

Furman

Goren

2005

Hyperfine Interact

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Abstract. The theory of NQR spin diffusion is extended to the case of spin lattice relaxation and spin diffusion in an inhomogeneous field. Two coupled equations describing the mutual relaxation and the spin diffusion of the nuclear magnetization and dipolar energy were obtained by using the method of nonequilibrium state operator. The equations were solved for short and long times approximation corresponding to the direct and diffusion relaxation regimes.

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Nuclear relaxations due to paramagnetic impurities in two-level systems

Cited by 8 publications

References 4 publications

Statistical Theory of Spin Relaxation and Diffusion in Solids

Statistical Theory of Spin Relaxation and Diffusion in Solids

Low-Temperature Nuclear Spin-Lattice Relaxation in Amorphous Materials

NQR Spin Diffusion in an Inhomogeneous Internal Field

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