Highly Anisotropic Exchange Interactions in a Trigonal Bipyramidal Cyanide-Bridged NiII3OsIII2Cluster

2009 ◽  
Vol 113 (25) ◽  
pp. 6886-6890 ◽  
Author(s):  
Andrei V. Palii ◽  
Oleg S. Reu ◽  
Sergei M. Ostrovsky ◽  
Sophia I. Klokishner ◽  
Boris S. Tsukerblat ◽  
...  
Keyword(s):  
Exchange Interactions ◽  
Trigonal Bipyramidal ◽  
Anisotropic Exchange

scholarly journals Heisenberg and anisotropic exchange interactions in magnetic materials with correlated electronic structure and significant spin-orbit coupling

2021 ◽  
Vol 103 (17) ◽  
Author(s):  
Vladislav Borisov ◽  
Yaroslav O. Kvashnin ◽  
Nikolaos Ntallis ◽  
Danny Thonig ◽  
Patrik Thunström ◽  
...  
Keyword(s):  
Electronic Structure ◽  
Magnetic Materials ◽  
Exchange Interactions ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Anisotropic Exchange

Magnetic susceptibility of dimers with anisotropic exchange interactions

1982 ◽  
Vol 21 (12) ◽  
pp. 4332-4334 ◽  
Author(s):  
Seiji. Nakatsuka ◽  
Keiji. Osaki ◽  
Norikiyo. Uryu
Keyword(s):  
Magnetic Susceptibility ◽  
Exchange Interactions ◽  
Anisotropic Exchange

scholarly journals Theory of Spin Waves in the Heavy Rare Earth Metals

1971 ◽  
Vol 49 (9) ◽  
pp. 1137-1161 ◽  
Author(s):  
D. A. Goodings ◽  
B. W. Southern
Keyword(s):  
Rare Earth ◽  
Spin Wave ◽  
Equations Of Motion ◽  
Rare Earth Metals ◽  
Spin Waves ◽  
Random Phase ◽  
Wave Interaction ◽  
Exchange Interactions ◽  
Special Cases ◽  
Anisotropic Exchange

A theory of spin waves for the spin structures found in the rare earth metals of h.c.p. crystal structure is described. The theory is developed for the conical spiral spin structure which contains the planar spiral, the nonplanar ferromagnet, and the planar ferromagnet as special cases. Included in the Hamiltonian are isotropic and anisotropic exchange interactions, single-ion crystal field terms, and magnetoelastic terms, both of the single-ion type (linear in the strains and up to fourth order in the spin operators) and of the two-ion type (linear in the strains and second order in the spin operators). The magnetoelastic effects are discussed in considerable detail, both in the "frozen lattice approximation" and in the opposite limit in which the strains closely follow the motion of the (uniformly) processing spins. Equations of motion for the spin operators are linearized with the help of the random phase approximation which makes it possible to express some spin-wave interaction effects in terms of powers of the reduced magnetization. Expressions for the spin-wave energies are given for the planar spiral, the nonplanar ferromagnet, and the planar ferromagnet, taking advantage of the simplifying features in each case.

Effect of Biquadratic Exchange Upon Ferromagnetic Two-Magnon Bound States. II. Anisotropic Exchange

1974 ◽  
Vol 52 (1) ◽  
pp. 33-39 ◽  
Author(s):  
D. A. Pink ◽  
R. Ballard
Keyword(s):  
Bound States ◽  
Exchange Interactions ◽  
Bound State ◽  
Exchange Term ◽  
Zero Temperature ◽  
Biquadratic Exchange ◽  
Anisotropic Exchange ◽  
Bound State Spectrum ◽  
Mode Pair ◽  
Isotropic Exchange

We have investigated the two-magnon bound state spectrum of a ferromagnetically ordered system for which the Hamiltonian contains an anisotropic bilinear exchange term, an anisotropic biquadratic exchange term, and a single-ion anisotropy term. The bound states, labelled by a wave vector q which we have taken to be in the [111] direction, were calculated by using zero-temperature Green functions. The principal results are: (i) the existence of single-ion bound states in the absence of single-ion anisotropy and conversely, their absence in the presence of such anisotropy, in contrast to the case in which the exchange interactions are isotropic; (ii) the appearance of an S mode for values of q, [Formula: see text]; (iii) the ordering of bound states for isotropic exchange interactions wherein the S0 mode lies below the S1-mode, D-mode pair and where the S1 mode lies below (above) the D mode if they lie below (above) the band, no longer holds.

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