Abstract:
The general approach to magnetoelasttc interactions proposed and developed in [1], [2] is
applied specifically to the Ising model. The lattice vibrations considered in the pseudoharmonic
approximation [3] renormaltze the exchange integral through the second correlation function of the spin subsystem; this makes it posslble to take into account in a simple manner their influence in both the general approach to the Ising model [4] as well as in its various approximations [5].
Citation:
V. A. Zagrebnov, V. K. Fedyanin, “Spin-phonon interaction in the ising model”, TMF, 10:1 (1972), 127–142; Theoret. and Math. Phys., 10:1 (1972), 84–93
\Bibitem{ZagFed72}
\by V.~A.~Zagrebnov, V.~K.~Fedyanin
\paper Spin-phonon interaction in the ising model
\jour TMF
\yr 1972
\vol 10
\issue 1
\pages 127--142
\mathnet{http://mi.mathnet.ru/tmf2646}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 10
\issue 1
\pages 84--93
\crossref{https://doi.org/10.1007/BF01035771}
Linking options:
https://www.mathnet.ru/eng/tmf2646
https://www.mathnet.ru/eng/tmf/v10/i1/p127
This publication is cited in the following 12 articles:
Yuri Konstantinovich Tovbin, “Molecular Modeling of Supercritical Processes and the Lattice—Gas Model”, Processes, 11:9 (2023), 2541
Yu. K. Tovbin, “Possibilities of the Molecular Modeling of Kinetic Processes under Supercritical Conditions”, Russ. J. Phys. Chem., 95:3 (2021), 429
A. Gudyma, Iu. Gudyma, “1D spin-crossover molecular chain with degenerate states”, Journal of Applied Physics, 129:12 (2021)
A. Gudyma, Iu. Gudyma, “Effect of compression in molecular spin-crossover chains”, Low Temperature Physics, 47:6 (2021), 457
Yu. K. Tovbin, S. V. Titov, V. N. Komarov, “Temperature dependence of the heat capacity and times of the establishment of vacancy equilibrium in simple crystals”, Phys. Solid State, 57:2 (2015), 360
I. A. Vakarchuk, V. M. Tkachuk, “Energy spectrum of magnon excitations in amorphous bodies with allowance for the spin-phonon interaction”, Theoret. and Math. Phys., 79:3 (1989), 647–656
S. N. Gorshkov, A. V. Zabrodin, C. Rodriguez, V. K. Fedyanin, “Feynman's variational principle for a polaron in a magnetic field”, Theoret. and Math. Phys., 62:2 (1985), 205–210
A. F. Sadreev, “Statistical mechanics of an elastic Ising chain with exchange striction”, Theoret. and Math. Phys., 55:1 (1983), 393–399
V.I. Yukalov, “Spaces of states for heterophase systems”, Physica A: Statistical Mechanics and its Applications, 110:1-2 (1982), 247
V. M. Nabutovskii, E. V. Kholopov, “Influence of the interaction energy terms quadratic in the deformations on the nature of phase transitions”, Theoret. and Math. Phys., 26:3 (1976), 255–258
N. M. Plakida, H. Konwent, Magnetism in Metals and Metallic Compounds, 1976, 543
V. N. Kashcheev, “Renormalization of the Curie Temperature in the Ising Model”, Physica Status Solidi (b), 57:2 (1973)
Citation in format AMSBIB
Contact us: