THEORY OF THE SPIN-LATTICE INTERACTION IN PARAMAGNETIC SALTS OF IRON-GROUP IONS

1966 ◽  
Vol 44 (7) ◽  
pp. 1613-1630 ◽  
Author(s):  
J. Van Kranendonk ◽  
Y. Y. Lee
Keyword(s):  
Coupling Constants ◽  
Subsequent Paper ◽  
Iron Group ◽  
Spin Variable ◽  
Effective Spin ◽  
General Symmetry ◽  
Spin Lattice ◽  
Lattice Coupling ◽  
Radiation Processes

The form of the spin-lattice coupling in hydrated salts of the iron-group ions is derived in terms of the lattice vibrational coordinates and the effective spin variable, using general symmetry arguments. The most important coupling terms for octahedral and spherical symmetry are given, and the role of the breathing and rotational modes is discussed, as well as the concept of adiabatic and non-adiabatic coupling. This work forms the basis of the semiclassical theory of phonon radiation processes and phonon multipole fields and interactions to be presented in a subsequent paper. Finally, explicit expressions for the coupling constants in terms of the electronic structure of the ions are also derived, for the case of a nondegenerate ground orbital level.

SEMICLASSICAL THEORY OF PHONON RADIATION PROCESSES

1966 ◽  
Vol 44 (8) ◽  
pp. 1699-1714 ◽  
Author(s):  
J. Van Kranendonk
Keyword(s):  
Time Derivative ◽  
Lattice Relaxation ◽  
Spin Lattice Relaxation ◽  
Multipole Moments ◽  
Spin Variable ◽  
Effective Spin ◽  
Spin Lattice ◽  
Radiation Theory ◽  
Order Of Magnitude ◽  
Radiation Processes

For the various forms of the spin-lattice coupling in paramagnetic salts of the iron group ions, derived in a previous paper, a semiclassical phonon radiation theory is developed. The phonon fields are analyzed in terms of phonon multipole fields, and the phonon multipole moments are expressed in terms of the effective spin variable. The phonon multipole fields are all monopole fields in the sense that the corresponding static fields fall off at large distances as R−2, but they are monopole, dipole, and quadrupole fields as far as the angular dependence is concerned. As a result, the rates of emission by the different phonon multipoles are all of the same order of magnitude. The equation of motion of a dressed spin is derived, and the phonon radiation damping is shown to depend on the third time derivative of the phonon multipole moments. As an application, the classical theory of the resulting spin-lattice relaxation is discussed briefly.

Spin-Lattice Coupling and Peculiarities of Magnetic Behavior of Ferrimagnetic Ludwigites Mn0.52+M1.52+Mn3+BO5(M=Cu, Ni)

2015 ◽  
Vol 233-234 ◽  
pp. 133-136 ◽  
Author(s):  
Leonard Bezmaternykh ◽  
Evgeniya Moshkina ◽  
Evgeniy Eremin ◽  
Maxim Molokeev ◽  
Nikita Volkov ◽  
...  
Keyword(s):  
Temperature Field ◽  
Low Temperature ◽  
Magnetic Anisotropy ◽  
Single Crystals ◽  
Magnetic Behavior ◽  
Temperature Hysteresis ◽  
Spin Lattice ◽  
Field Magnetization ◽  
Lattice Coupling

Temperature-field and orientational magnetization dependences of single crystals were measured. Both samples demonstrate significant field-depending temperature hysteresis and low-temperature counter field magnetization. The correlation of orientational dependences of these effects and magnetic anisotropy is analyzed; the role of spin-lattice interactions is discussed.

The thermal conductivity of Ni 2 + doped KMgF 3 in a magnetic field at low temperatures: the effect of single ions and coupled pairs

1970 ◽  
Vol 315 (1523) ◽  
pp. 551-568 ◽  
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
Elastic Constants ◽  
Low Temperatures ◽  
Coupling Constants ◽  
Thermal Resistivity ◽  
Paramagnetic Resonance ◽  
Spin Lattice ◽  
Average Spin ◽  
Lattice Coupling

The thermal conductivity between 0.4 and 4.2 K and in magnetic fields up to 50 kOe of KMgF 3 doped with Ni 2+ has been measured. The results are analysed to give values of the average spin-lattice coupling constants ( x Sl ) for the Ni 2+ ion. These are in agreement with values calculated using the magneto-elastic constants (GX1 and 6r44) derived from acoustic paramagnetic resonance (a.p.r.) experiments. Below IK the thermal resistivity as a function of magnetic field shows a number of anomalies, for which possible causes are discussed; it is concluded that they result from phonon interactions with exchange-coupled pairs of Ni 2+ ions. Such pairs are also observed in a.p.r. experiments.

scholarly journals Role of spin-lattice coupling in the ultrafast demagnetization ofGd1−xTbxalloys

2014 ◽  
Vol 89 (21) ◽  
Author(s):  
A. Eschenlohr ◽  
M. Sultan ◽  
A. Melnikov ◽  
N. Bergeard ◽  
J. Wieczorek ◽  
...  
Keyword(s):  
Spin Lattice ◽  
Lattice Coupling ◽  
Ultrafast Demagnetization

scholarly journals Interactions in the bond-frustrated helimagnet ZnCr2Se4 investigated by NMR

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Sejun Park ◽  
Sangil Kwon ◽  
Soonchil Lee ◽  
Seunghyun Khim ◽  
Dilip Bhoi ◽  
...  
Keyword(s):  
Wave Theory ◽  
Coupling Constants ◽  
Zero Field ◽  
Hyperfine Fields ◽  
Spin Order ◽  
Spin Lattice ◽  
Jahn Teller ◽  
Jahn Teller Effect ◽  
Lattice Coupling ◽  
Spiral Spin

Abstract The zero field 53Cr nuclear magnetic resonance was measured at low temperatures to investigate the interactions in the bond-frustrated S = 3/2 Heisenberg helimagnet ZnCr2Se4. A quadratic decrease of the sublattice magnetization was determined from the temperature dependence of the isotropic hyperfine field. We calculated the magnetization using linear spin wave theory for the incommensurate spiral spin order and compared this outcome with experimental results to estimate the coupling constants. The hyperfine fields at Cr and Se ions provide evidences that the spin polarization of Cr ions is transferred to neighboring Se ions due to the covalent bonding between them, resulting in reduced magnetic moment in the Cr ion. This observation indicates that the Jahn-Teller effect, which leads to distortion inducing spin-lattice coupling, is not completely missing in ZnCr2Se4.

scholarly journals The role of spin-lattice coupling for ultrafast changes of the magnetic order in rare earth metals

2021 ◽  
Vol 119 (18) ◽  
pp. 182404
Author(s):  
Beatrice Andres ◽  
Sang Eun Lee ◽  
Martin Weinelt
Keyword(s):  
Rare Earth ◽  
Magnetic Order ◽  
Rare Earth Metals ◽  
Spin Lattice ◽  
Lattice Coupling

Electron–Phonon and Spin–Lattice Coupling in Atomically Thin Layers of MnBi2Te4

Nano Letters ◽  
2021 ◽  
Author(s):  
Jeongheon Choe ◽  
David Lujan ◽  
Martin Rodriguez-Vega ◽  
Zhipeng Ye ◽  
Aritz Leonardo ◽  
...  
Keyword(s):  
Thin Layers ◽  
Spin Lattice ◽  
Lattice Coupling
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