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We consider nuclear spin-lattice relaxation rate resulted from a fractional diffusion equation for anomalous rotational wobbling in a cone. The mechanism of relaxation is assumed to be due to dipole-dipole interaction of nuclear spins and…

Statistical Mechanics · Physics 2011-06-30 A. E. Sitnitsky

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

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

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

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 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

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

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 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

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

Spin-orbit coupling (SOC), which is inherent to a Dirac particle that moves under the influence of electromagnetic fields, manifests itself in a variety of physical systems including non-relativistic ones. For instance, it plays an…

Statistical Mechanics · Physics 2021-11-10 Tomohiro Hata , Eiji Nakano , Kei Iida , Hiroyuki Tajima , Junichi Takahashi

We report the $^{63}$Cu and $^{65}$Cu nuclear spin-lattice relaxation rate measurements of cuprous oxide Cu$_2$O in a zero field Cu nuclear quadrupole resonance at $T$ = 77$-$325 K. From the detailed isotopic measurements of the relaxation…

Materials Science · Physics 2022-03-28 Yutaka Itoh

A wide variety of nuclear magnetic resonance experiments rely on the prediction and analysis of relaxation processes. Recently, innovative approaches have been introduced where the sample travels through a broad range of magnetic fields in…

The physics of interacting nuclear spins arranged in a crystalline lattice is typically described using a thermodynamic framework: a variety of experimental studies in bulk solid-state systems have proven the concept of a spin temperature…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 P. Maletinsky , M. Kroner , A. Imamoglu

Understanding the effect of vibrations on the relaxation process of individual spins is crucial for implementing nano systems for quantum information and quantum metrology applications. In this work, we present a theoretical microscopic…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 A. Norambuena , E. Muñoz , H. T. Dinani , A. Jarmola , P. Maletinsky , D. Budker , J. R. Maze

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

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 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

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

The relaxation function theory of doped two-dimensional $S=1/2$ Heisenberg antiferromagnetic (AF) system in the paramagnetic state is presented taking into account the hole subsystem as well as both the electron and AF correlations. The…

Superconductivity · Physics 2009-11-10 Igor A. Larionov
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