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We consider nuclear spin-lattice relaxation rate resulted from a diffusion equation for rotational wobbling in a cone. We show that the widespread point of view that there are no analytical expressions for correlation functions for wobbling…

Soft Condensed Matter · Physics 2015-05-30 A. E. Sitnitsky

This paper proposes an effective diffusion equation method to analyze nuclear magnetic resonance (NMR) relaxation. NMR relaxation is a spin system recovery process, where the evolution of the spin system is affected by the random field due…

Chemical Physics · Physics 2021-03-31 Guoxing Lin

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 D.…

Statistical Mechanics · Physics 2009-11-11 A. L. Kuzemsky

A model-free theoretical framework for a phenomenological description of spin-lattice relaxation by anomalous translational diffusion in inhomogeneous systems based on the fractional diffusion equation is developed. The dependence of the…

Soft Condensed Matter · Physics 2009-11-10 A. E. Sitnitsky , G. G. Pimenov , A. V. Anisimov

The theory of spin diffusion is extended to the case of spin lattice relaxation and spin diffusion in an inhomogeneous field in spin systems with non-equidistant energy spectrum. Two coupled equations describing the mutual relaxation and…

Materials Science · Physics 2007-05-23 Gregory B. Furman , Shaul D. Goren

The nuclear spin-lattice relaxation rate ($1/T_{1}$) has been measured in the single crystals of hole doped two-leg ladder compounds Sr$_{14-x}$Ca$_{x}$Cu$_{24}$O$_{41}$ and in the undoped parent material La$_6$Ca$_8$Cu$_{24}$O$_{41}$.…

Strongly Correlated Electrons · Physics 2009-10-31 S. Fujiyama , M. Takigawa , N. Motoyama , H. Eisaki , S. Uchida

We study the spin-phonon relaxation rate of both Kramers and non-Kramers molecular magnets in strongly diluted samples at low temperature. Using the "rotational" contribution to the spin-phonon Hamiltonian, universal formulae for the…

Strongly Correlated Electrons · Physics 2018-01-31 Le Tuan Anh Ho , Liviu F. Chibotaru

This paper employs the general time-space fractional diffusion equation to derive correlation time function for analyzing nuclear magnetic resonance (NMR) relaxation. Both the anomalous rotational and translational diffusion are treated.…

Chemical Physics · Physics 2018-12-31 Guoxing Lin

Nuclear spin-lattice relaxation in one-dimensional Heisenberg ferrimagnets is studied by means of a modified spin-wave theory. We consider the second-order process, where a nuclear spin flip induces virtual spin waves which are then…

Statistical Mechanics · Physics 2009-11-10 Hiromitsu Hori , Shoji Yamamoto

The problem of the nuclear spin-lattice relaxation in La$_2$CuO$_4$ is revisited in connection with the recent measurements of the NQR relaxation rate for temperatures up to $ 900\mbox{K} $ [T.\ Imai {\em et al.}, Phys.\ Rev.\ Lett., in…

Condensed Matter · Physics 2009-10-22 A. Sokol , E. Gagliano , S. Bacci

Nuclear spin-lattice relaxation in one-dimensional Heisenberg ferrimagnets is studied by means of a modified spin-wave theory. Calculating beyond the first-order mechanism, where a nuclear spin directly interacts with spin waves through the…

Strongly Correlated Electrons · Physics 2015-06-25 Shoji Yamamoto , Hiromitsu Hori

We show that the spin-lattice relaxation in n-type insulating GaAs is dramatically accelerated at low magnetic fields. The origin of this effect, that cannot be explained in terms of well-known diffusion-limited hyperfine relaxation, is…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 M. Kotur , R. I. Dzhioev , M. Vladimirova , B. Jouault , V. L. Korenev , K. V. Kavokin

A general expression is derived for the dipolar NMR spin-lattice relaxation rate $1/T_1$ of a system exhibiting Brownian dynamics in a discrete and finite configuration space. It is shown that this approach can be particularly useful to…

Chemical Physics · Physics 2015-07-07 P. Wzietek

We derived a simple reduced form from the exact solution of the mixed magnetic and quadrupolar nuclear spin--lattice relaxation function at the central transition line of a quadrupole-split NMR spectrum for the nuclear spin $I$ = 3/2. The…

Superconductivity · Physics 2024-11-27 Yutaka Itoh , Akihiro Ogawa , Seiji Adachi

Optically accessible solid state defect spins serve as a primary platform for quantum information processing, where precise control of the electron spin and ancillary nuclear spins is essential for operation. Using the nitrogen-vacancy (NV)…

Quantum Physics · Physics 2026-02-12 Gergő Thiering , Adam Gali

We report on a 203Tl and 205Tl nuclear magnetic resonance study of the chain ternary semiconductor TlTaS3. We show that spin-lattice relaxation in this compound is driven by two contributions, namely by interactions of nuclear spins with…

Other Condensed Matter · Physics 2009-11-13 A. M. Panich , C. L. Teske , W. Bensch

Spin-lattice relaxation of the nuclear spin system in p-type GaAs is studied using a three-stage experimental protocol including optical pumping and measuring the difference of the nuclear spin polarization before and after a dark interval…

Other Condensed Matter · Physics 2018-05-02 M. Kotur , R. I. Dzhioev , M. Vladimirova , R. V. Cherbunin , P. S. Sokolov , D. R. Yakovlev , M. Bayer , D. Suter , K. V. Kavokin

Thermal motion of the flux lines (FL) gives rise to fluctuating magnetic fields. These dynamic fields couple to the nuclei in the sample and relax the nuclear spins. Based on a model of harmonic fluctuations, we provide a theoretical…

Condensed Matter · Physics 2009-10-22 Lei Xing , Yia-Chung Chang

The NMR measurements performed on a single orthorhombic crystal of superconducting ferromagnet UCoGe (Y.Ihara et al, Phys. Rev. Lett. v.105, 206403 (2010)) demonstrate strongly anisotropic magnetic properties of this material. The presented…

Strongly Correlated Electrons · Physics 2021-10-04 V. P. Mineev

Relaxation of conduction electron spins in a semiconductor owing to the hyperfine interaction with spin-1/2 nuclei, in zero applied magnetic field, is investigated. We calculate the electron spin relaxation time scales, in order to evaluate…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Yuriy V. Pershin , Vladimir Privman
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