Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers

M. Pankratova, A. Kovalev, M. Žukovič

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this chapter, we present the theoretical analysis and numerical simulation of the exchange bias (EB) phenomenon in the ferromagnetic/antiferromagnetic bilayers (FM/AFM) [1-3]. The EB phenomenon was discovered experimentally by Meiklejohn and Bean in 1956 [1]. The phenomenon has numerous applications in nanoelectronics and spintronics. A comprehensive explanation of the EB does not exist yet [4-17]. The effect manifests itself in the shift of the magnetization dependence on the external magnetic field M(H) along the field axis. The shift of the hysteresis loop is proportional to the exchange interaction through the FM/AFM interface J 0, whereas the width of the hysteresis loop is proportional to the magnetic anisotropy in the FM layer. The phenomenon appears in the systems with contacting FM/AFM subsystems: layered systems, nanoparticles [2], multiferroics [18]. In the simplest model of EB, the AFM is assumed to be a hard magnetic material [19,20], the AFM interface is uncompensated, and the FM film has a uniform magnetization. The easy-plane anisotropy and an additional weak anisotropy in the easy plane are taken into account. The model of the phenomenon gives an expression for the EB H bias = J 0 SAFMSFM/LFMF, where SAFM and SFM are the AFM and FM magnetic moments, respectively, MFM is the magnetization of the FM that is constant along the FM/AFM interface, and J 0 is the interlayer exchange interaction. Such an expression for H bias, however, gives a significantly larger value of the hysteresis loop shift than that observed in experiments. It is important to note that the same value of the shift is observed in the case of compensated FM/AFM interface [21-23]. Since EB was discovered, a lot of theoretical models have been proposed [4]. Among them, the possibility of the domain walls appears both in the FM and the AFM subsystems [7,8,24]; the impact of the interface defects on the EB effect [5], the influence of the domain and polycrystalline structure of materials [6]. In References [25,26], the authors presented an explanation of the nature of EB phenomenon in systems with a compensated FM/AFM interface. The recent works also study the geometrical frustration in the FM/AFM-layered system and its impact on the shift of the magnetization curves [27-29]. Recently, new features of the EB phenomenon were observed experimentally [30-33]. The shifted hysteresis loop becomes asymmetric M(2H bias-H) ≠ -M(H) and additional horizontal plateaus appear [31,33]. The slope of the magnetization curve is different on different parts of the curve. These features can be explained by different spin-flip kinetics in different magnetic configurations. Here, we propose an explanation to the magnetization curves features, such as horizontal plateaus, asymmetry, split of the hysteresis loop. We use the assumption that these features can be associated with an inhomogeneous magnetization distribution in the FM film. We consider the cases of the perfect and rough FM/AFM interface. The horizontal plateaus, asymmetry, and other features of the magnetic hysteresis loops are obtained in the framework of such models.

Original languageEnglish
Title of host publicationExchange Bias
Subtitle of host publicationFrom Thin Film to Nanogranular and Bulk Systems
PublisherCRC Press
Pages205-231
Number of pages27
ISBN (Electronic)9781498797245
ISBN (Print)9781498797238
DOIs
Publication statusPublished - 22 Sep 2017

Fingerprint

Hysteresis loops
Magnetization
frequency modulation
hysteresis
magnetization
Exchange interactions
atomic force microscopy
shift
Anisotropy
plateaus
Magnetic hysteresis
Magnetoelectronics
curves
Nanoelectronics
Magnetic anisotropy
Magnetic materials
Domain walls
anisotropy
Magnetic moments
asymmetry

Cite this

Pankratova, M., Kovalev, A., & Žukovič, M. (2017). Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers. In Exchange Bias: From Thin Film to Nanogranular and Bulk Systems (pp. 205-231). CRC Press. https://doi.org/10.1201/9781351228459
Pankratova, M. ; Kovalev, A. ; Žukovič, M. / Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers. Exchange Bias: From Thin Film to Nanogranular and Bulk Systems. CRC Press, 2017. pp. 205-231
@inbook{f1ffa37a7acd430389d35fa8f1077093,
title = "Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers",
abstract = "In this chapter, we present the theoretical analysis and numerical simulation of the exchange bias (EB) phenomenon in the ferromagnetic/antiferromagnetic bilayers (FM/AFM) [1-3]. The EB phenomenon was discovered experimentally by Meiklejohn and Bean in 1956 [1]. The phenomenon has numerous applications in nanoelectronics and spintronics. A comprehensive explanation of the EB does not exist yet [4-17]. The effect manifests itself in the shift of the magnetization dependence on the external magnetic field M(H) along the field axis. The shift of the hysteresis loop is proportional to the exchange interaction through the FM/AFM interface J 0, whereas the width of the hysteresis loop is proportional to the magnetic anisotropy in the FM layer. The phenomenon appears in the systems with contacting FM/AFM subsystems: layered systems, nanoparticles [2], multiferroics [18]. In the simplest model of EB, the AFM is assumed to be a hard magnetic material [19,20], the AFM interface is uncompensated, and the FM film has a uniform magnetization. The easy-plane anisotropy and an additional weak anisotropy in the easy plane are taken into account. The model of the phenomenon gives an expression for the EB H bias = J 0 SAFMSFM/LFMF, where SAFM and SFM are the AFM and FM magnetic moments, respectively, MFM is the magnetization of the FM that is constant along the FM/AFM interface, and J 0 is the interlayer exchange interaction. Such an expression for H bias, however, gives a significantly larger value of the hysteresis loop shift than that observed in experiments. It is important to note that the same value of the shift is observed in the case of compensated FM/AFM interface [21-23]. Since EB was discovered, a lot of theoretical models have been proposed [4]. Among them, the possibility of the domain walls appears both in the FM and the AFM subsystems [7,8,24]; the impact of the interface defects on the EB effect [5], the influence of the domain and polycrystalline structure of materials [6]. In References [25,26], the authors presented an explanation of the nature of EB phenomenon in systems with a compensated FM/AFM interface. The recent works also study the geometrical frustration in the FM/AFM-layered system and its impact on the shift of the magnetization curves [27-29]. Recently, new features of the EB phenomenon were observed experimentally [30-33]. The shifted hysteresis loop becomes asymmetric M(2H bias-H) ≠ -M(H) and additional horizontal plateaus appear [31,33]. The slope of the magnetization curve is different on different parts of the curve. These features can be explained by different spin-flip kinetics in different magnetic configurations. Here, we propose an explanation to the magnetization curves features, such as horizontal plateaus, asymmetry, split of the hysteresis loop. We use the assumption that these features can be associated with an inhomogeneous magnetization distribution in the FM film. We consider the cases of the perfect and rough FM/AFM interface. The horizontal plateaus, asymmetry, and other features of the magnetic hysteresis loops are obtained in the framework of such models.",
author = "M. Pankratova and A. Kovalev and M. Žukovič",
year = "2017",
month = "9",
day = "22",
doi = "10.1201/9781351228459",
language = "English",
isbn = "9781498797238",
pages = "205--231",
booktitle = "Exchange Bias",
publisher = "CRC Press",
address = "United States",

}

Pankratova, M, Kovalev, A & Žukovič, M 2017, Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers. in Exchange Bias: From Thin Film to Nanogranular and Bulk Systems. CRC Press, pp. 205-231. https://doi.org/10.1201/9781351228459

Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers. / Pankratova, M.; Kovalev, A.; Žukovič, M.

Exchange Bias: From Thin Film to Nanogranular and Bulk Systems. CRC Press, 2017. p. 205-231.

Research output: Chapter in Book/Report/Conference proceedingChapter

TY - CHAP

T1 - Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers

AU - Pankratova, M.

AU - Kovalev, A.

AU - Žukovič, M.

PY - 2017/9/22

Y1 - 2017/9/22

N2 - In this chapter, we present the theoretical analysis and numerical simulation of the exchange bias (EB) phenomenon in the ferromagnetic/antiferromagnetic bilayers (FM/AFM) [1-3]. The EB phenomenon was discovered experimentally by Meiklejohn and Bean in 1956 [1]. The phenomenon has numerous applications in nanoelectronics and spintronics. A comprehensive explanation of the EB does not exist yet [4-17]. The effect manifests itself in the shift of the magnetization dependence on the external magnetic field M(H) along the field axis. The shift of the hysteresis loop is proportional to the exchange interaction through the FM/AFM interface J 0, whereas the width of the hysteresis loop is proportional to the magnetic anisotropy in the FM layer. The phenomenon appears in the systems with contacting FM/AFM subsystems: layered systems, nanoparticles [2], multiferroics [18]. In the simplest model of EB, the AFM is assumed to be a hard magnetic material [19,20], the AFM interface is uncompensated, and the FM film has a uniform magnetization. The easy-plane anisotropy and an additional weak anisotropy in the easy plane are taken into account. The model of the phenomenon gives an expression for the EB H bias = J 0 SAFMSFM/LFMF, where SAFM and SFM are the AFM and FM magnetic moments, respectively, MFM is the magnetization of the FM that is constant along the FM/AFM interface, and J 0 is the interlayer exchange interaction. Such an expression for H bias, however, gives a significantly larger value of the hysteresis loop shift than that observed in experiments. It is important to note that the same value of the shift is observed in the case of compensated FM/AFM interface [21-23]. Since EB was discovered, a lot of theoretical models have been proposed [4]. Among them, the possibility of the domain walls appears both in the FM and the AFM subsystems [7,8,24]; the impact of the interface defects on the EB effect [5], the influence of the domain and polycrystalline structure of materials [6]. In References [25,26], the authors presented an explanation of the nature of EB phenomenon in systems with a compensated FM/AFM interface. The recent works also study the geometrical frustration in the FM/AFM-layered system and its impact on the shift of the magnetization curves [27-29]. Recently, new features of the EB phenomenon were observed experimentally [30-33]. The shifted hysteresis loop becomes asymmetric M(2H bias-H) ≠ -M(H) and additional horizontal plateaus appear [31,33]. The slope of the magnetization curve is different on different parts of the curve. These features can be explained by different spin-flip kinetics in different magnetic configurations. Here, we propose an explanation to the magnetization curves features, such as horizontal plateaus, asymmetry, split of the hysteresis loop. We use the assumption that these features can be associated with an inhomogeneous magnetization distribution in the FM film. We consider the cases of the perfect and rough FM/AFM interface. The horizontal plateaus, asymmetry, and other features of the magnetic hysteresis loops are obtained in the framework of such models.

AB - In this chapter, we present the theoretical analysis and numerical simulation of the exchange bias (EB) phenomenon in the ferromagnetic/antiferromagnetic bilayers (FM/AFM) [1-3]. The EB phenomenon was discovered experimentally by Meiklejohn and Bean in 1956 [1]. The phenomenon has numerous applications in nanoelectronics and spintronics. A comprehensive explanation of the EB does not exist yet [4-17]. The effect manifests itself in the shift of the magnetization dependence on the external magnetic field M(H) along the field axis. The shift of the hysteresis loop is proportional to the exchange interaction through the FM/AFM interface J 0, whereas the width of the hysteresis loop is proportional to the magnetic anisotropy in the FM layer. The phenomenon appears in the systems with contacting FM/AFM subsystems: layered systems, nanoparticles [2], multiferroics [18]. In the simplest model of EB, the AFM is assumed to be a hard magnetic material [19,20], the AFM interface is uncompensated, and the FM film has a uniform magnetization. The easy-plane anisotropy and an additional weak anisotropy in the easy plane are taken into account. The model of the phenomenon gives an expression for the EB H bias = J 0 SAFMSFM/LFMF, where SAFM and SFM are the AFM and FM magnetic moments, respectively, MFM is the magnetization of the FM that is constant along the FM/AFM interface, and J 0 is the interlayer exchange interaction. Such an expression for H bias, however, gives a significantly larger value of the hysteresis loop shift than that observed in experiments. It is important to note that the same value of the shift is observed in the case of compensated FM/AFM interface [21-23]. Since EB was discovered, a lot of theoretical models have been proposed [4]. Among them, the possibility of the domain walls appears both in the FM and the AFM subsystems [7,8,24]; the impact of the interface defects on the EB effect [5], the influence of the domain and polycrystalline structure of materials [6]. In References [25,26], the authors presented an explanation of the nature of EB phenomenon in systems with a compensated FM/AFM interface. The recent works also study the geometrical frustration in the FM/AFM-layered system and its impact on the shift of the magnetization curves [27-29]. Recently, new features of the EB phenomenon were observed experimentally [30-33]. The shifted hysteresis loop becomes asymmetric M(2H bias-H) ≠ -M(H) and additional horizontal plateaus appear [31,33]. The slope of the magnetization curve is different on different parts of the curve. These features can be explained by different spin-flip kinetics in different magnetic configurations. Here, we propose an explanation to the magnetization curves features, such as horizontal plateaus, asymmetry, split of the hysteresis loop. We use the assumption that these features can be associated with an inhomogeneous magnetization distribution in the FM film. We consider the cases of the perfect and rough FM/AFM interface. The horizontal plateaus, asymmetry, and other features of the magnetic hysteresis loops are obtained in the framework of such models.

UR - http://www.scopus.com/inward/record.url?scp=85052603561&partnerID=8YFLogxK

UR - https://www.taylorfrancis.com/books/9781498797245

U2 - 10.1201/9781351228459

DO - 10.1201/9781351228459

M3 - Chapter

AN - SCOPUS:85052603561

SN - 9781498797238

SP - 205

EP - 231

BT - Exchange Bias

PB - CRC Press

ER -

Pankratova M, Kovalev A, Žukovič M. Understanding of exchange bias in ferromagnetic/antiferromagnetic bilayers. In Exchange Bias: From Thin Film to Nanogranular and Bulk Systems. CRC Press. 2017. p. 205-231 https://doi.org/10.1201/9781351228459