Abstract:
Starting with a Heisenberg Hamiltonian model type ,we have studied the effects
temperature fluctuations, dopant concentrations, and applied fields. Through theoretical
analyses, we uncover significant insights into magnon dispersion energy, magnetization
behavior, and heat capacity. Our findings reveal that temperature and dopant
concentration play pivotal roles in influencing magnon dispersion energy, with increasing
temperature enhancing thermal agitation and dopants introducing additional magnetic
moments. More over, we elucidate the intricate interplay between temperature, dopant
concentration, and external fields on magneti- zation, observing temperature-induced
reductions and dopant-induced augmentations. Electric and magnetic fields further
modulate magnetization, highlighting the complexity of magnon behavior in response to
external stimuli. Additionally, temperature, dopant concentration, and applied fields exert
notable effects on magnon heat capacity, with temperature enhancing it and higher dopant
concentrations suppressing it. These theoretical insights provide crucial groundwork for
engineering magnetic materials with tailored properties for applications in spintronics
and magnonics, thus advancing our understanding and potential applications of
magnonics
