Exact solutions for simple spin clusters with isotropic Heisenberg exchange interactions

1993 ◽  
Vol 90 ◽  
pp. 1077-1100 ◽  
Author(s):  
E Belorizky ◽  
PH Fries
2016 ◽  
Vol 116 (21) ◽  
Author(s):  
Y. O. Kvashnin ◽  
R. Cardias ◽  
A. Szilva ◽  
I. Di Marco ◽  
M. I. Katsnelson ◽  
...  

2015 ◽  
Vol 29 (19) ◽  
pp. 1550125 ◽  
Author(s):  
Shally Loomba

We have reported the matter rogue wave solutions for the nonautonomous three coupled Gross–Pitaevskii (GP) equation which governs the pulse propagation in spin-1 Bose–Einstein condensates (BECs) with time modulated nonlinearities. The system under consideration has attractive mean-field interactions and ferromagnetic spin-exchange interactions. The exact solutions have been worked out by using similarity and scaling transformations. We have depicted the controllable center characteristics of rogue waves for the kink-type spin-exchange interactions. Additionally, we have also discussed the management of rogue waves for the hyperbolic form of spin-exchange interactions by invoking isospectral Hamiltonian deformation technique.


2012 ◽  
Vol 190 ◽  
pp. 490-493
Author(s):  
Victor V. Kostyuchenko

At the present time two models can more or less describe the magnetic properties ofNi4Mo12. The rst one is based on the assumption of essential role of non-Heisenberg exchangeinteractions. The key feature of the second model is the symmetry breaking of exchange inter-actions. The present work is focused on the forecasting power of these spin models. Mechanismresponsible for non-Heisenberg exchange interactions is the same as mechanism resulting in in-teraction of spin chirality with external magnetic eld. An additional level splitting in magnetic eld can be observed in this case. The symmetry breaking of exchange interactions inevitablyleads to nonzero toroidal moment and related to it magnetoelectric phenomena.


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