13 research outputs found
A New Approach to Determination of Equilibrium Magnetization in Magnetic Nanostructures
ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ Π½ΠΎΠ²ΡΠΉ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ ΠΊ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΠΎΠ³ΠΎ ΡΠΎΡΡΠΎΡΠ½ΠΈΡ Π½Π°ΠΌΠ°Π³Π½ΠΈΡΠ΅Π½Π½ΠΎΡΡΠΈ Π² Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΠΎΠΉ
ΠΌΠΎΠ΄Π΅Π»ΠΈ ΡΠ΅ΡΡΠΎΠΌΠ°Π³Π½Π΅ΡΠΈΠΊΠ°. ΠΠ»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΡΠΎΠΉ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΠΌΡ ΡΠ²ΠΎΠ΄ΠΈΠΌ Π΅Π΅ ΠΊ ΡΠΈΡΡΠ΅ΠΌΠ΅ Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
Π½Π΅ΠΎΠ΄-
Π½ΠΎΡΠΎΠ΄Π½ΡΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ Ρ ΠΌΠ½ΠΎΠΆΠΈΡΠ΅Π»ΡΠΌΠΈ ΠΠ°Π³ΡΠ°Π½ΠΆΠ°. ΠΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ Π½Π°Ρ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ ΡΠΈΡΠ»Π΅Π½Π½ΡΡ
ΡΠ΅ΡΠ΅Π½ΠΈΠΉ
ΡΠ°ΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ ΠΏΠΎΠΊΠ°Π·Π°Π½Π° ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ΠΌ ΠΌΠΎΠ΄ΠΈΡΠΈΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠ³ΠΎ ΡΡΠ΅ΠΏΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π°. ΠΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ
Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Π° ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π°Π΅ΡΡΡ ΠΏΡΠΈΠΌΠ΅ΡΠ°ΠΌΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ ΠΌΠΈΠΊΡΠΎΡΡΡΡΠΊΡΡΡΡ ΠΈ ΠΏΡΠΎ-
ΡΠ΅ΡΡΠΎΠ² ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΡ Π² Π½Π°Π½ΠΎΡΡΡΡΠΊΡΡΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΉ ΡΠΎΠ½ΠΊΠΎΠΉ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ ΠΏΠ»Π΅Π½ΠΊΠ΅.A new approach to determination of the equilibrium magnetization in discrete model of a ferromagnetic is
presented. Solving this problem is reduced to a system of linear inhomogeneous equations with Lagrange
multipliers. The possibility of finding the numerical solutions of such systems is shown by applying of
a modified power method. The efficiency of this approach is proved by examples of modelling magnetic
microstructure and magnetization reversal process in a nanostructured thin magnetic film
Micromagnetic Simulation of Magnetization Reversal Processes in Thin Obliquely Deposited Films
Π’Π΅ΠΊΡΡ ΡΡΠ°ΡΡΠΈ Π½Π΅ ΠΏΡΠ±Π»ΠΈΠΊΡΠ΅ΡΡΡ Π² ΠΎΡΠΊΡΡΡΠΎΠΌ Π΄ΠΎΡΡΡΠΏΠ΅ Π² ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΠΈΠΈ Ρ ΠΏΠΎΠ»ΠΈΡΠΈΠΊΠΎΠΉ ΠΆΡΡΠ½Π°Π»Π°.The magnetization reversal processes in thin obliquely deposited films were studied by means of micro-
magnetic modeling. Thin film structures for micromagnetic study were generated by Monte Carlo film
growth simulator. Using obtained hysteresis loops for the generated films, we retrieved coercivity and
remanent magnetization as a function of the deposition angle alpha. The results showed that for films with
alpha<65 degr. the magnetization reversal occurred via coherent rotation of magnetic moments, whereas samples
generated with larger deposition angles reverse their magnetization by the formation of complex quasi-
domain magnetic structures
Numerical Simulation of Magnetic Microstructure in Nanocrystalline Thin Films with the Random Anisotropy
The magnetic structure of thin nanocrystalline films with a random distribution of magnetization easy
axes was studied by means of micromagnetic modeling. The dependences of the correlation function
parameters of the non-uniform magnetization on the value of the external in-plane magnetic field were
investigated in the wide range (6β1000 nm) of particles sizes. An analysis of the obtained dependences
revealed a significant difference between longitudinal (along the field) and transversal (perpendicular to
the field) correlation radii of a stochastic magnetic structure. The blocking effect of a fine magnetic
structureβa magnetization rippleβwas observed during magnetization reversal of the films
Numerical Simulation of Magnetic Microstructure in Nanocrystalline Thin Films with the Random Anisotropy
The magnetic structure of thin nanocrystalline films with a random distribution of magnetization easy
axes was studied by means of micromagnetic modeling. The dependences of the correlation function
parameters of the non-uniform magnetization on the value of the external in-plane magnetic field were
investigated in the wide range (6β1000 nm) of particles sizes. An analysis of the obtained dependences
revealed a significant difference between longitudinal (along the field) and transversal (perpendicular to
the field) correlation radii of a stochastic magnetic structure. The blocking effect of a fine magnetic
structureβa magnetization rippleβwas observed during magnetization reversal of the films
Micromagnetic Simulation of Magnetization Reversal Processes in Thin Obliquely Deposited Films
Π’Π΅ΠΊΡΡ ΡΡΠ°ΡΡΠΈ Π½Π΅ ΠΏΡΠ±Π»ΠΈΠΊΡΠ΅ΡΡΡ Π² ΠΎΡΠΊΡΡΡΠΎΠΌ Π΄ΠΎΡΡΡΠΏΠ΅ Π² ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΠΈΠΈ Ρ ΠΏΠΎΠ»ΠΈΡΠΈΠΊΠΎΠΉ ΠΆΡΡΠ½Π°Π»Π°.The magnetization reversal processes in thin obliquely deposited films were studied by means of micro-
magnetic modeling. Thin film structures for micromagnetic study were generated by Monte Carlo film
growth simulator. Using obtained hysteresis loops for the generated films, we retrieved coercivity and
remanent magnetization as a function of the deposition angle alpha. The results showed that for films with
alpha<65 degr. the magnetization reversal occurred via coherent rotation of magnetic moments, whereas samples
generated with larger deposition angles reverse their magnetization by the formation of complex quasi-
domain magnetic structures
A New Approach to Determination of Equilibrium Magnetization in Magnetic Nanostructures
ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ Π½ΠΎΠ²ΡΠΉ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ ΠΊ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΠΎΠ³ΠΎ ΡΠΎΡΡΠΎΡΠ½ΠΈΡ Π½Π°ΠΌΠ°Π³Π½ΠΈΡΠ΅Π½Π½ΠΎΡΡΠΈ Π² Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΠΎΠΉ
ΠΌΠΎΠ΄Π΅Π»ΠΈ ΡΠ΅ΡΡΠΎΠΌΠ°Π³Π½Π΅ΡΠΈΠΊΠ°. ΠΠ»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΡΠΎΠΉ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΠΌΡ ΡΠ²ΠΎΠ΄ΠΈΠΌ Π΅Π΅ ΠΊ ΡΠΈΡΡΠ΅ΠΌΠ΅ Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
Π½Π΅ΠΎΠ΄-
Π½ΠΎΡΠΎΠ΄Π½ΡΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ Ρ ΠΌΠ½ΠΎΠΆΠΈΡΠ΅Π»ΡΠΌΠΈ ΠΠ°Π³ΡΠ°Π½ΠΆΠ°. ΠΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ Π½Π°Ρ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ ΡΠΈΡΠ»Π΅Π½Π½ΡΡ
ΡΠ΅ΡΠ΅Π½ΠΈΠΉ
ΡΠ°ΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ ΠΏΠΎΠΊΠ°Π·Π°Π½Π° ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ΠΌ ΠΌΠΎΠ΄ΠΈΡΠΈΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠ³ΠΎ ΡΡΠ΅ΠΏΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π°. ΠΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ
Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Π° ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π°Π΅ΡΡΡ ΠΏΡΠΈΠΌΠ΅ΡΠ°ΠΌΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ ΠΌΠΈΠΊΡΠΎΡΡΡΡΠΊΡΡΡΡ ΠΈ ΠΏΡΠΎ-
ΡΠ΅ΡΡΠΎΠ² ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΡ Π² Π½Π°Π½ΠΎΡΡΡΡΠΊΡΡΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΉ ΡΠΎΠ½ΠΊΠΎΠΉ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ ΠΏΠ»Π΅Π½ΠΊΠ΅.A new approach to determination of the equilibrium magnetization in discrete model of a ferromagnetic is
presented. Solving this problem is reduced to a system of linear inhomogeneous equations with Lagrange
multipliers. The possibility of finding the numerical solutions of such systems is shown by applying of
a modified power method. The efficiency of this approach is proved by examples of modelling magnetic
microstructure and magnetization reversal process in a nanostructured thin magnetic film
ΠΠΈΠΊΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΡ Π² ΡΠΎΠ½ΠΊΠΈΡ Π½Π°ΠΊΠ»ΠΎΠ½Π½ΠΎΠΎΡΠ°ΠΆΠ΄Π΅Π½Π½ΡΡ ΠΏΠ»Π΅Π½ΠΊΠ°Ρ
The magnetization reversal processes in thin obliquely deposited films were studied by means of micro-
magnetic modeling. Thin film structures for micromagnetic study were generated by Monte Carlo film
growth simulator. Using obtained hysteresis loops for the generated films, we retrieved coercivity and
remanent magnetization as a function of the deposition angle . The results showed that for films with
< 65
β¦ the magnetization reversal occurred via coherent rotation of magnetic moments, whereas samples
generated with larger deposition angles reverse their magnetization by the formation of complex quasi-
domain magnetic structures. The numerical results are in a good accordance with the previously reported
experimental measurementsΠΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΌΠΈΠΊΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ ΠΏΡΠΎΡΠ΅ΡΡΡ ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΡ Π² ΡΠΎΠ½ΠΊΠΈΡ
Π½Π°ΠΊΠ»ΠΎΠ½Π½ΠΎ-ΠΎΡΠ°ΠΆΠ΄Π΅Π½Π½ΡΡ
ΠΏΠ»Π΅Π½ΠΊΠ°Ρ
. Π’ΠΎΠ½ΠΊΠΎΠΏΠ»Π΅Π½ΠΎΡΠ½ΡΠ΅ ΡΡΡΡΠΊΡΡΡΡ Π΄Π»Ρ ΠΌΠΈΠΊΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° Π±Ρ-
Π»ΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½Ρ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΎΡΡΠ° ΠΏΠ»Π΅Π½ΠΎΠΊ, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΠΎΠΉ Π½Π° ΠΌΠ΅ΡΠΎΠ΄Π΅ ΠΠΎΠ½ΡΠ΅-
ΠΠ°ΡΠ»ΠΎ. ΠΠ· ΠΏΠ΅ΡΠ΅Π»Ρ Π³ΠΈΡΡΠ΅ΡΠ΅Π·ΠΈΡΠ°, ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
Π΄Π»Ρ ΡΠ³Π΅Π½Π΅ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΡ
ΠΏΠ»Π΅Π½ΠΎΠΊ, Π±ΡΠ»ΠΈ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Ρ Π·Π°Π²ΠΈΡΠΈ-
ΠΌΠΎΡΡΠΈ ΠΊΠΎΡΡΡΠΈΡΠΈΠ²Π½ΠΎΠΉ ΡΠΈΠ»Ρ ΠΈ ΠΎΡΡΠ°ΡΠΎΡΠ½ΠΎΠΉ Π½Π°ΠΌΠ°Π³Π½ΠΈΡΠ΅Π½Π½ΠΎΡΡΠΈ ΠΎΡ ΡΠ³Π»Π° ΠΎΡΠ°ΠΆΠ΄Π΅Π½ΠΈΡ . Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ, ΡΡΠΎ Π΄Π»Ρ ΠΏΠ»Π΅Π½ΠΎΠΊ Ρ < 65
β¦ ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΠ΅ ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΠΎΡΡΠ΅Π΄ΡΡΠ²ΠΎΠΌ
ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΠ³ΠΎ Π²ΡΠ°ΡΠ΅Π½ΠΈΡ ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΡ
ΠΌΠΎΠΌΠ΅Π½ΡΠΎΠ², ΡΠΎΠ³Π΄Π° ΠΊΠ°ΠΊ Π΄Π»Ρ ΠΎΠ±ΡΠ°Π·ΡΠΎΠ² ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
ΠΏΡΠΈ Π±ΠΎΠ»ΡΡΠΈΡ
ΡΠ³Π»Π°Ρ
ΠΎΡΠ°ΠΆΠ΄Π΅Π½ΠΈΡ ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΠ΅ ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ΅ΡΠ΅Π· ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠ»ΠΎΠΆΠ½ΡΡ
ΠΊΠ²Π°Π·ΠΈΠ΄ΠΎΠΌΠ΅Π½-
Π½ΡΡ
ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΡ
ΡΡΡΡΠΊΡΡΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Ρ
ΠΎΡΠΎΡΠΎ ΡΠΎΠ³Π»Π°ΡΡΡΡΡΡ Ρ ΡΠ°Π½Π΅Π΅ ΠΎΠΏΡΠ±Π»ΠΈΠΊΠΎ-
Π²Π°Π½Π½ΡΠΌΠΈ Π΄Π°Π½Π½ΡΠΌΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
ΠΈΠ·ΠΌΠ΅ΡΠ΅Π½ΠΈ
Π§ΠΈΡΠ»Π΅Π½Π½ΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ ΠΌΠΈΠΊΡΠΎΡΡΡΡΠΊΡΡΡΡ Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠΎΠ½ΠΊΠΈΡ ΠΏΠ»Π΅Π½ΠΎΠΊ ΡΠΎ ΡΠ»ΡΡΠ°ΠΉΠ½ΠΎΠΉ Π°Π½ΠΈΠ·ΠΎΡΡΠΎΠΏΠΈΠ΅ΠΉ
The magnetic structure of thin nanocrystalline films with a random distribution of magnetization easy
axes was studied by means of micromagnetic modeling. The dependences of the correlation function
parameters of the non-uniform magnetization on the value of the external in-plane magnetic field were
investigated in the wide range (6β1000 nm) of particles sizes. An analysis of the obtained dependences
revealed a significant difference between longitudinal (along the field) and transversal (perpendicular to
the field) correlation radii of a stochastic magnetic structure. The blocking effect of a fine magnetic
structureβa magnetization rippleβwas observed during magnetization reversal of the filmsΠΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΌΠΈΠΊΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΡ ΡΠΎΠ½-
ΠΊΠΈΡ
Π½Π°Π½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ»Π΅Π½ΠΎΠΊ ΡΠΎ ΡΠ»ΡΡΠ°ΠΉΠ½ΡΠΌ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ΠΌ ΠΎΡΠ΅ΠΉ Π»Π΅Π³ΠΊΠΎΠ³ΠΎ Π½Π°ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΡ. Π
ΡΠΈΡΠΎΠΊΠΎΠΌ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π΅ ΡΠ°Π·ΠΌΠ΅ΡΠΎΠ² ΡΠ°ΡΡΠΈΡ 6β1000 Π½ΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΊΠΎΡΡΠ΅Π»Ρ-
ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΡΠ½ΠΊΡΠΈΠΈ Π½Π΅ΠΎΠ΄Π½ΠΎΡΠΎΠ΄Π½ΠΎΠΉ Π½Π°ΠΌΠ°Π³Π½ΠΈΡΠ΅Π½Π½ΠΎΡΡΠΈ ΠΎΡ Π²Π΅Π»ΠΈΡΠΈΠ½Ρ Π²Π½Π΅ΡΠ½Π΅Π³ΠΎ ΠΏΠ»Π°Π½Π°ΡΠ½ΠΎΠ³ΠΎ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ
ΠΏΠΎΠ»Ρ. ΠΠ½Π°Π»ΠΈΠ· ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠ΅ΠΉ ΠΏΠΎΠΊΠ°Π·Π°Π» ΡΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠ΅ ΡΠ°Π·Π»ΠΈΡΠΈΠ΅ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΡΡ
ΡΠ°Π΄ΠΈΡ-
ΡΠΎΠ² ΡΡΠΎΡ
Π°ΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΡ Π²Π΄ΠΎΠ»Ρ ΠΈ ΠΏΠΎΠΏΠ΅ΡΠ΅ΠΊ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΠΏΡΠΈΠ»ΠΎΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ. ΠΡΠΈ
ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΠΈ ΡΠΎΠ½ΠΊΠΈΡ
ΠΏΠ»Π΅Π½ΠΎΠΊ Π½Π°Π±Π»ΡΠ΄Π°Π»ΡΡ ΡΡΡΠ΅ΠΊΡ Π±Π»ΠΎΠΊΠΈΡΠΎΠ²ΠΊΠΈ ΡΠΎΠ½ΠΊΠΎΠΉ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΡ
Β«ΡΡΠ±ΠΈ Π½Π°ΠΌΠ°Π³Π½ΠΈΡΠ΅Π½Π½ΠΎΡΡΠΈ
ΠΠΈΠΊΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΡ Π² ΡΠΎΠ½ΠΊΠΈΡ Π½Π°ΠΊΠ»ΠΎΠ½Π½ΠΎΠΎΡΠ°ΠΆΠ΄Π΅Π½Π½ΡΡ ΠΏΠ»Π΅Π½ΠΊΠ°Ρ
The magnetization reversal processes in thin obliquely deposited films were studied by means of micro-
magnetic modeling. Thin film structures for micromagnetic study were generated by Monte Carlo film
growth simulator. Using obtained hysteresis loops for the generated films, we retrieved coercivity and
remanent magnetization as a function of the deposition angle . The results showed that for films with
< 65
β¦ the magnetization reversal occurred via coherent rotation of magnetic moments, whereas samples
generated with larger deposition angles reverse their magnetization by the formation of complex quasi-
domain magnetic structures. The numerical results are in a good accordance with the previously reported
experimental measurementsΠΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΌΠΈΠΊΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ ΠΏΡΠΎΡΠ΅ΡΡΡ ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΡ Π² ΡΠΎΠ½ΠΊΠΈΡ
Π½Π°ΠΊΠ»ΠΎΠ½Π½ΠΎ-ΠΎΡΠ°ΠΆΠ΄Π΅Π½Π½ΡΡ
ΠΏΠ»Π΅Π½ΠΊΠ°Ρ
. Π’ΠΎΠ½ΠΊΠΎΠΏΠ»Π΅Π½ΠΎΡΠ½ΡΠ΅ ΡΡΡΡΠΊΡΡΡΡ Π΄Π»Ρ ΠΌΠΈΠΊΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° Π±Ρ-
Π»ΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½Ρ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΎΡΡΠ° ΠΏΠ»Π΅Π½ΠΎΠΊ, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΠΎΠΉ Π½Π° ΠΌΠ΅ΡΠΎΠ΄Π΅ ΠΠΎΠ½ΡΠ΅-
ΠΠ°ΡΠ»ΠΎ. ΠΠ· ΠΏΠ΅ΡΠ΅Π»Ρ Π³ΠΈΡΡΠ΅ΡΠ΅Π·ΠΈΡΠ°, ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
Π΄Π»Ρ ΡΠ³Π΅Π½Π΅ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΡ
ΠΏΠ»Π΅Π½ΠΎΠΊ, Π±ΡΠ»ΠΈ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Ρ Π·Π°Π²ΠΈΡΠΈ-
ΠΌΠΎΡΡΠΈ ΠΊΠΎΡΡΡΠΈΡΠΈΠ²Π½ΠΎΠΉ ΡΠΈΠ»Ρ ΠΈ ΠΎΡΡΠ°ΡΠΎΡΠ½ΠΎΠΉ Π½Π°ΠΌΠ°Π³Π½ΠΈΡΠ΅Π½Π½ΠΎΡΡΠΈ ΠΎΡ ΡΠ³Π»Π° ΠΎΡΠ°ΠΆΠ΄Π΅Π½ΠΈΡ . Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ, ΡΡΠΎ Π΄Π»Ρ ΠΏΠ»Π΅Π½ΠΎΠΊ Ρ < 65
β¦ ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΠ΅ ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΠΎΡΡΠ΅Π΄ΡΡΠ²ΠΎΠΌ
ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΠ³ΠΎ Π²ΡΠ°ΡΠ΅Π½ΠΈΡ ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΡ
ΠΌΠΎΠΌΠ΅Π½ΡΠΎΠ², ΡΠΎΠ³Π΄Π° ΠΊΠ°ΠΊ Π΄Π»Ρ ΠΎΠ±ΡΠ°Π·ΡΠΎΠ² ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
ΠΏΡΠΈ Π±ΠΎΠ»ΡΡΠΈΡ
ΡΠ³Π»Π°Ρ
ΠΎΡΠ°ΠΆΠ΄Π΅Π½ΠΈΡ ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΠ΅ ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ΅ΡΠ΅Π· ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠ»ΠΎΠΆΠ½ΡΡ
ΠΊΠ²Π°Π·ΠΈΠ΄ΠΎΠΌΠ΅Π½-
Π½ΡΡ
ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΡ
ΡΡΡΡΠΊΡΡΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Ρ
ΠΎΡΠΎΡΠΎ ΡΠΎΠ³Π»Π°ΡΡΡΡΡΡ Ρ ΡΠ°Π½Π΅Π΅ ΠΎΠΏΡΠ±Π»ΠΈΠΊΠΎ-
Π²Π°Π½Π½ΡΠΌΠΈ Π΄Π°Π½Π½ΡΠΌΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
ΠΈΠ·ΠΌΠ΅ΡΠ΅Π½ΠΈ