Low-temperature magnetization process of the nanoscale iron cluster in line
arly sweeped fields is investigated by a numerical analysis of time-depende
nt Schrodinger equation and the quantum master equation. We introduce an ef
fective basis method extracting important states, by which we can obtain th
e magnetization process effectively. We investigate the structure of the fi
eld derivative of the magnetization. We find out that the antisymmetric int
eraction determined from the lattice structure reproduces well the experime
ntal results of the iron magnets and that this interaction plays an importa
nt role in the iron cluster. Deviations from the adiabatic process are also
studied. In the fast sweeping case, our calculations indicate that the non
adiabatic transition dominantly occurs at the level crossing for the lowest
field. In slow sweeping case, due to the influence of the thermal environm
ent to the spin system, the field derivative of the magnetization shows an
asymmetric behavior, the magnetic Fohn effect, which explains the substruct
ure of the experimental results in the pulsed field.