The velocity of domain wall in iron borate and yttrium orthoferrite as a function of a driving alternat-ing magnetic field with a constant magnetic field present is experimentally investigated.
When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3635

Adamova, M.E.

Kaminsky, A.V.

Komina, O.Yu.

Kuzmenko, A.P.

Shcherbakov, Yu.I.

Zhukov, E.A.

Electronic Sumy State University Institutional Repository

JOURNAL OF NANO- AND ELECTRONIC PHYSICS ЖУРНАЛ НАНО- ТА ЕЛЕКТРОННОЇ ФІЗИКИ Vol. 6 No 3, 03053(2pp) (2014) Том 6 № 3, 03053(2cc) (2014)   The article was reported at the International Conference «The Advanced Technology, Equipment and Analytical Systems for Materials», Kursk, 13-14 May, 2014 2077-6772/2014/6(3)03053(2) 03053-1  2014 Sumy State University Dynamics of Domain Walls in Iron Borate and Yttrium Orthoferrite  in Alternating and Constant Magnetic Fields  M.E. Adamova1, E.A. Zhukov1, A.V. Kaminsky1, O.Yu. Komina1, A.P. Kuzmenko2, Yu.I. Shcherbakov1  1 Pacific National University, 136, Tihookeanskaja Str., 680035 Khabarovsk, Russia 2 Southwest State University, 94, 50 Let Octyabrya Str., 305040 Kursk, Russia  (Received 19 May 2014; published online 15 July 2014)  The velocity of domain wall in iron borate and yttrium orthoferrite as a function of a driving alternat-ing magnetic field with a constant magnetic field present is experimentally investigated.  Keywords: Weak ferromagnets, Yttrium orthoferrite, Iron Borate, Domain walls, Helmholtz coils.   PACS numbers: 75.50.Ee, 75.78.Fg   1. INTRODUCTION  Nonlinear dynamics of magnetic domains is not on-ly of a scientific interest but also of important practical application; therefore, interest in them has persisted for many years. Dynamics of domain walls (DWs) in ferromagnets is significantly affected by anisotropy – both crystal and artificially created [1, 2]. Anisotropy due to surfaces limiting the size of the crystal (films, wire) not only influences on mobility [2] but also  can stabilize DW, which results in great speeds at application of a driving magnetic field paral-lel to magnetic momentum [3]. Anisotropy caused by application of an additional constant magnetic field perpendicular to the driving magnetic field also pro-vides such results [4]. Theoretical consideration of influence of an addi-tional magnetic field involves a lot of difficulties that stem from the absence of data about magnetic momen-tum dissipation. At the same time in many experi-ments with weak ferromagnets there is a gradient magnetic field that makes DW to restore to the equilib-rium state [5-13]. The influence of a gradient magnetic field on dynamics of DW in rare-earth orthoferrites is considered in [14].  2. EXPERIMENTAL  We measured the amplitude of the DW shift using the magneto-optical Faraday effect in single crystal plates (thickness 0.1 mm) under a sinusoidal magnetic field without gradient magnets. Visualization of do-main structure and investigation of its dynamics was conducted according to methods given in [5, 6, 15, 16] with the use of visible band radiation. In YFeO3 dy-namics of two-domain structure with a single straight DW in plates cut perpendicular to the optic axis was investigated. In FeBO3 dynamics of multiple domain structure was studied in plates grown in basal plane. Magnetic fields of a sinusoidal form with a frequency of up to 200 kHz and an amplitude of up to 100 Oe caus-ing shift of the DW with respect to the equilibrium state were produced by Helmholtz coils. The shift am-plitude of DW was measured at the intensity of the penetrated radiation using the signal from a photodi-ode or recorded with computer processing of an aver-aged image. The velocity amplitude was computed as-suming its sinusoidal dependence similar to [15].  3. RESULTS AND DISCUSSION  Figure 1 shows the velocity amplitude of DW as a function of the amplitude of a sinusoidal magnetic field mH  in iron borate (without gradient magnets) applied in the sample basal plane with a constant magnetic field H that was also applied in the same plane per-pendicular to the driving field.    Fig. 1 – Dependence v(hm) at a frequency f  10 kHz in FeBO3 sample at a constant magnetic field H  0(♦), H  1.9 Oe (▲), H  6.8 Oe (■)  It follows from Fig. 1 that with increasing constant magnetic field H the DW velocity is reduced. Also, it is seen from Fig. 1 that (without constant field) there is a jump in velocity at hm  2.3 Oe. Application of a con-stant magnetic field H causes this jump to shift to grater amplitudes hm  3 Oe. At H  6.8 Oe the jump virtually vanishes. The jump may be relevant to the arrangement of domain structure. In this case one can say about stabilization of domain structure by constant magnetic field. In Fig. 2 shown are amplitude-frequency dependen-cies of DW velocity for yttrium orthoferrite in a driving sinusoidal field with an amplitude H  38 Oe at a con-stant magnetic field H directed along the DW motion in the sample plane.  M.E. ADAMOVA, E.A. ZHUKOV, ET AL. J. NANO- ELECTRON. PHYS. 6, 03053 (2014)   03053-2   Fig. 2 – Velocity amplitude of DW as a function of the driving magnetic field amplitude at a frequency f  20 kHz without ( ) and with transversal magnetic fields of 3.3 Oe ( ) and 27 Oe ( )  An increase of the DW velocity with frequency oc-curs in accord with theory [17]. Figure 2 also shows that the effect of a constant magnetic field in yttrium orthoferrite is much weaker than in iron borate. Thus the effect of constant magnetic fields on dy-namics was studied for iron borate and yttrium ortho-ferrite in weak magnetic fields, which do not require the application of gradient magnets.  The work was done at the financial support of the Ministry of Education and Science of the Russian Fed-eration within the base part of the state task for doing scientific research.   REFERENCES  1. Spin Dynamics in Confined Magnetic Structures III: Top-ics in Applied Physics (Edited by B. Hillebrands and A. Thiaville) (Berlin: Springer-Verlag: 2006). 2. V.V. Volkov, V.A. Bokov, Phys. Solid State 50, 199 (2008). 3. R. Varga, A. Zhukov, V. Zhukova, J.M. Blanco, J. Gonzalez, Phys. Rev. B 76, 132406 (2007). 4. M.V. Chetkin, Yu.N. Kurbatova, T.B. Shapayeva, Fiz. Tverd. Tela 52, 1795 (2010). 5. V.G. Baryakhtar, B.A. Ivanov, M.V. Chetkin, Usp. Fiz. Nauk 146, 417 (1985). 6. V.G. Bar’yakhtar, M.V. Chetkin, B.A. Ivanov, S.N. Gadetskii, Dynamics of Topological Magnetic Soli-tons. Experiment and Theory (Berlin: Springer-Verlag: 1994). 7. A.P. Kuz’menko, A.V. Kaminsky, E.A. Zhukov, V.N. Filatov, Fiz. Tverd. Tela 43 No 4, 666 (2001). 8. A.P. Kuz’menko, V.K. Bulgakov, A.V. Kaminsky, E.A. Zhukov, V.N. Filatov, N.Yu. Sorokin, J. Magn. Magn. Mater. 238, 109 (2002). 9. A.P. Kuz’menko, A.V. Kaminskiy, E.A. Zhukov, V.N. Filatov, M.B. Dobromyslov, J. Magn. Magn. Mater. 257, 327 (2003). 10. A.P. Kuz’menko, E.A. Zhukov, M.B. Dobromyslov J. Magn. Magn. Mater. 302, 436 (2006). 11. A.P. Kuz’menko, E.A. Zhukov, M.B. Dobromyslov, A.V. Kaminsky, J. Magn. Magn. Mater. 310, 1610 (2007). 12. E.A. Zhukov, A.P. Kuz’menko, Pis’ma Zh. Tekh. Fiz. 34, 58 (2008). 13. A.P. Kuz’menko, E.A. Zhukov, Yu.I. Shcherbakov Tech. Phys. 53 No 11, 1433 (2008). 14. T.B. Shapayeva, R.R. Murtazin, E.G. Ekomasov, Izv. Acad. Nauk Fiz. 72 No 2, 155 (2014) [in Russian]. 15. P.D. Kim, D.Ch. Khvan, Fiz. Tverd. Tela 24, 2300 (1982). 16. V.G. Baryakhtar, B.A. Ivanov, P.D. Kim, A.L. Sukstansky, D.Ch. KHvan, Pis’ma Zh. Tekh. Fiz. 37 No 1, 35 (1983). 17. A. Malozemov, J. Slozunsky, Domain walls in materials with cylindrical magnetic domains (М.: Mir: 1982)  [in Russian].  

Dynamics of Domain Walls in Iron Borate and Yttrium Orthoferrite  in Alternating and Constant Magnetic Fields

SocioEconomic Challenges Journal (Sumy State University)

JOURNAL OF NANO- AND ELECTRONIC PHYSICS ЖУРНАЛ НАНО- ТА ЕЛЕКТРОННОЇ ФІЗИКИ 
Vol. 6 No 3, 03053(2pp) (2014) Том 6 № 3, 03053(2cc) (2014) 
 
 
The article was reported at the International Conference «The Advanced Technology, Equipment and Analytical Systems for Materials», Kursk, 13-14 May, 2014 
2077-6772/2014/6(3)03053(2) 03053-1  2014 Sumy State University 
Dynamics of Domain Walls in Iron Borate and Yttrium Orthoferrite  
in Alternating and Constant Magnetic Fields 
 
M.E. Adamova1, E.A. Zhukov1, A.V. Kaminsky1, O.Yu. Komina1, 
A.P. Kuzmenko2, Yu.I. Shcherbakov1 
 
1 Pacific National University, 136, Tihookeanskaja Str., 680035 Khabarovsk, Russia 
2 Southwest State University, 94, 50 Let Octyabrya Str., 305040 Kursk, Russia 
 
(Received 19 May 2014; published online 15 July 2014) 
 
The velocity of domain wall in iron borate and yttrium orthoferrite as a function of a driving alternat-
ing magnetic field with a constant magnetic field present is experimentally investigated. 
 
Keywords: Weak ferromagnets, Yttrium orthoferrite, Iron Borate, Domain walls, Helmholtz coils. 
 
 PACS numbers: 75.50.Ee, 75.78.Fg 
 
 
1. INTRODUCTION 
 
Nonlinear dynamics of magnetic domains is not on-
ly of a scientific interest but also of important practical 
application; therefore, interest in them has persisted 
for many years. 
Dynamics of domain walls (DWs) in ferromagnets is 
significantly affected by anisotropy – both crystal and 
artificially created [1, 2]. 
Anisotropy due to surfaces limiting the size of the 
crystal (films, wire) not only influences on mobility [2] 
but also  can stabilize DW, which results in great 
speeds at application of a driving magnetic field paral-
lel to magnetic momentum [3]. Anisotropy caused by 
application of an additional constant magnetic field 
perpendicular to the driving magnetic field also pro-
vides such results [4]. 
Theoretical consideration of influence of an addi-
tional magnetic field involves a lot of difficulties that 
stem from the absence of data about magnetic momen-
tum dissipation. At the same time in many experi-
ments with weak ferromagnets there is a gradient 
magnetic field that makes DW to restore to the equilib-
rium state [5-13]. The influence of a gradient magnetic 
field on dynamics of DW in rare-earth orthoferrites is 
considered in [14]. 
 
2. EXPERIMENTAL 
 
We measured the amplitude of the DW shift using 
the magneto-optical Faraday effect in single crystal 
plates (thickness 0.1 mm) under a sinusoidal magnetic 
field without gradient magnets. Visualization of do-
main structure and investigation of its dynamics was 
conducted according to methods given in [5, 6, 15, 16] 
with the use of visible band radiation. In YFeO3 dy-
namics of two-domain structure with a single straight 
DW in plates cut perpendicular to the optic axis was 
investigated. In FeBO3 dynamics of multiple domain 
structure was studied in plates grown in basal plane. 
Magnetic fields of a sinusoidal form with a frequency of 
up to 200 kHz and an amplitude of up to 100 Oe caus-
ing shift of the DW with respect to the equilibrium 
state were produced by Helmholtz coils. The shift am-
plitude of DW was measured at the intensity of the 
penetrated radiation using the signal from a photodi-
ode or recorded with computer processing of an aver-
aged image. The velocity amplitude was computed as-
suming its sinusoidal dependence similar to [15]. 
 
3. RESULTS AND DISCUSSION 
 
Figure 1 shows the velocity amplitude of DW as a 
function of the amplitude of a sinusoidal magnetic field 
mH  in iron borate (without gradient magnets) applied 
in the sample basal plane with a constant magnetic 
field H that was also applied in the same plane per-
pendicular to the driving field. 
 
 
 
Fig. 1 – Dependence v(hm) at a frequency f  10 kHz in FeBO3 
sample at a constant magnetic field H  0(♦), H  1.9 Oe (▲), 
H  6.8 Oe (■) 
 
It follows from Fig. 1 that with increasing constant 
magnetic field H the DW velocity is reduced. Also, it is 
seen from Fig. 1 that (without constant field) there is a 
jump in velocity at hm  2.3 Oe. Application of a con-
stant magnetic field H causes this jump to shift to 
grater amplitudes hm  3 Oe. At H  6.8 Oe the jump 
virtually vanishes. The jump may be relevant to the 
arrangement of domain structure. In this case one can 
say about stabilization of domain structure by constant 
magnetic field. 
In Fig. 2 shown are amplitude-frequency dependen-
cies of DW velocity for yttrium orthoferrite in a driving 
sinusoidal field with an amplitude H  38 Oe at a con-
stant magnetic field H directed along the DW motion in 
the sample plane. 
 M.E. ADAMOVA, E.A. ZHUKOV, ET AL. J. NANO- ELECTRON. PHYS. 6, 03053 (2014) 
 
 
03053-2 
 
 
Fig. 2 – Velocity amplitude of DW as a function of the driving 
magnetic field amplitude at a frequency f  20 kHz without 
( ) and with transversal magnetic fields of 3.3 Oe ( ) and 
27 Oe ( ) 
 
An increase of the DW velocity with frequency oc-
curs in accord with theory [17]. Figure 2 also shows 
that the effect of a constant magnetic field in yttrium 
orthoferrite is much weaker than in iron borate. 
Thus the effect of constant magnetic fields on dy-
namics was studied for iron borate and yttrium ortho-
ferrite in weak magnetic fields, which do not require 
the application of gradient magnets.  
The work was done at the financial support of the 
Ministry of Education and Science of the Russian Fed-
eration within the base part of the state task for doing 
scientific research. 
 
 
REFERENCES 
 
1. Spin Dynamics in Confined Magnetic Structures III: Top-
ics in Applied Physics (Edited by B. Hillebrands and 
A. Thiaville) (Berlin: Springer-Verlag: 2006). 
2. V.V. Volkov, V.A. Bokov, Phys. Solid State 50, 199 (2008). 
3. R. Varga, A. Zhukov, V. Zhukova, J.M. Blanco, 
J. Gonzalez, Phys. Rev. B 76, 132406 (2007). 
4. M.V. Chetkin, Yu.N. Kurbatova, T.B. Shapayeva, Fiz. 
Tverd. Tela 52, 1795 (2010). 
5. V.G. Baryakhtar, B.A. Ivanov, M.V. Chetkin, Usp. Fiz. 
Nauk 146, 417 (1985). 
6. V.G. Bar’yakhtar, M.V. Chetkin, B.A. Ivanov, 
S.N. Gadetskii, Dynamics of Topological Magnetic Soli-
tons. Experiment and Theory (Berlin: Springer-Verlag: 
1994). 
7. A.P. Kuz’menko, A.V. Kaminsky, E.A. Zhukov, 
V.N. Filatov, Fiz. Tverd. Tela 43 No 4, 666 (2001). 
8. A.P. Kuz’menko, V.K. Bulgakov, A.V. Kaminsky, 
E.A. Zhukov, V.N. Filatov, N.Yu. Sorokin, J. Magn. Magn. 
Mater. 238, 109 (2002). 
9. A.P. Kuz’menko, A.V. Kaminskiy, E.A. Zhukov, 
V.N. Filatov, M.B. Dobromyslov, J. Magn. Magn. Mater. 
257, 327 (2003). 
10. A.P. Kuz’menko, E.A. Zhukov, M.B. Dobromyslov J. Magn. 
Magn. Mater. 302, 436 (2006). 
11. A.P. Kuz’menko, E.A. Zhukov, M.B. Dobromyslov, 
A.V. Kaminsky, J. Magn. Magn. Mater. 310, 1610 (2007). 
12. E.A. Zhukov, A.P. Kuz’menko, Pis’ma Zh. Tekh. Fiz. 34, 58 
(2008). 
13. A.P. Kuz’menko, E.A. Zhukov, Yu.I. Shcherbakov Tech. 
Phys. 53 No 11, 1433 (2008). 
14. T.B. Shapayeva, R.R. Murtazin, E.G. Ekomasov, Izv. 
Acad. Nauk Fiz. 72 No 2, 155 (2014) [in Russian]. 
15. P.D. Kim, D.Ch. Khvan, Fiz. Tverd. Tela 24, 2300 (1982). 
16. V.G. Baryakhtar, B.A. Ivanov, P.D. Kim, A.L. Sukstansky, 
D.Ch. KHvan, Pis’ma Zh. Tekh. Fiz. 37 No 1, 35 (1983). 
17. A. Malozemov, J. Slozunsky, Domain walls in materials 
with cylindrical magnetic domains (М.: Mir: 1982)  
[in Russian]. 
 


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Dynamics of Domain Walls in Iron Borate and Yttrium Orthoferrite in Alternating and Constant Magnetic Fields

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