Investigation of the energy operator spectrum for a two-magnon system in a one-dimensional anisotropic heisenberg ferromagnet with second neighbor interactions

1996 ◽  
Vol 107 (1) ◽  
pp. 544-549 ◽  
Author(s):  
S. M. Tashpulatov
Keyword(s):  
Energy Operator ◽  
Heisenberg Ferromagnet ◽  
One Dimensional ◽  
Operator Spectrum

Effect of Biquadratic Exchange on Two Magnon States of Heisenberg Ferromagnets: Other Neighbor Exchange

1975 ◽  
Vol 53 (6) ◽  
pp. 637-647 ◽  
Author(s):  
D. A. Pink ◽  
Vijay Sachdeva
Keyword(s):  
Ground State ◽  
Nearest Neighbor ◽  
Ferromagnetic State ◽  
Localized States ◽  
Heisenberg Ferromagnet ◽  
Green Functions ◽  
Localized Modes ◽  
One Dimensional ◽  
Localized State ◽  
Biquadratic Exchange

We have investigated the two magnon localized states of a one dimensional Heisenberg ferromagnet the Hamiltonian of which is made up of nearest neighbor and next nearest neighbor isotropic bilinear and biquadratic exchange terms, and a single ion anisotropy term. We have restricted our choice of parameters so that the ground state at T = 0 is the fully aligned ferromagnetic state and we have used the thermodynamic Green functions where the averages have been evaluated in the ground state so that our results are good for [Formula: see text]. We have evaluated the probabilities of finding two spin deviations a distance n apart when the system is in a localized state described by total wave vector q. We have (a) compared the effects of ferromagnetic and antiferromagnetic next nearest neighbor exchange, (b) found that localized modes can lie below or above the two free magnon band depending upon the sign and magnitude of the biquadratic exchange, (c) found that in certain cases two spin deviations appear to behave like objects interacting only via a soft core, and (d) found that modes can have a large single ion component when the single ion anisotropy is zero.

On soliton excitations in a one-dimensional Heisenberg ferromagnet

1990 ◽  
Vol 2 (42) ◽  
pp. 8355-8364 ◽  
Author(s):  
Guoxiang Huang ◽  
Zhu-Pei Shi ◽  
Xianxi Dai ◽  
Ruibao Tao
Keyword(s):  
Heisenberg Ferromagnet ◽  
One Dimensional

scholarly journals Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin

2011 ◽  
Vol 84 (10) ◽  
Author(s):  
M. Härtel ◽  
J. Richter ◽  
D. Ihle ◽  
J. Schnack ◽  
S.-L. Drechsler
Keyword(s):  
Arbitrary Spin ◽  
Heisenberg Ferromagnet ◽  
One Dimensional ◽  
The One
Sign in / Sign up

Export Citation Format

Share Document