Theoretical investigation of ferromagnetic resonance in a ferromagnetic thin film with external stress anisotropy

doi:10.1088/1674-1056/ac1b86

Abstract We use the ferromagnetic resonance (FMR) method to study the properties of ferromagnetic thin film, in which external stress anisotropy, fourfold anisotropy and uniaxial anisotropy are considered. The analytical expressions of FMR frequency, linewidth and the imaginary part of magnetic susceptibility are obtained. Our results reveal that the FMR frequency and the imaginary part of magnetic susceptibility are distinctly enhanced, and the frequency linewidth or field linewidth are broadened due to a strong external stress anisotropy field. The hard-axis and easy-axis components of magnetization can be tuned significantly by controlling the intensity and direction of stress and the in-plane uniaxial anisotropy field.

Keywords: ferromagnetic resonance external stress anisotropy fourfold anisotropy uniaxial anisotropy

Received: 11 May 2021
Revised: 22 July 2021
Accepted manuscript online: 07 August 2021

PACS:	76.50.+g	(Ferromagnetic, antiferromagnetic, and ferrimagnetic resonances; spin-wave resonance)
	75.70.Ak	(Magnetic properties of monolayers and thin films)
	75.30.Gw	(Magnetic anisotropy)

Fund: Project supported by the Natural Science Foundation of Inner Mongolia of China (Grant No. 2019MS01021), the Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region, China (Grant No. NJZY21454), and the National Natural Science Foundation of China (Theoretical Physics) (Grant No. 11947414).

Corresponding Authors: Jianhong Rong
E-mail: jhrong502@163.com

Cite this article:

Jieyu Zhou(周婕妤), Jianhong Rong(荣建红), Huan Wang(王焕), Guohong Yun(云国宏), Yanan Wang(王娅男), and Shufei Zhang(张舒飞) Theoretical investigation of ferromagnetic resonance in a ferromagnetic thin film with external stress anisotropy 2022 Chin. Phys. B 31 017601

[1] Meckenstock R, Spoddig D, Himmelbauer K, Krenn H, Doi M, Keune W, Frait Z and Pelzl J 2002 J. Magn. Magn. Mater. 240 410
[2] Hamida B A, Sievers S, Pierz K and Schumacher H W 2013 J. Appl. Phys. 114 123704
[3] Kumar R, Samantaray B and Hossain Z 2019 J. Phys.: Condens. Matter. 31 435802
[4] Wu S, Abe K, Nakano T, Mewes T, Mewes C, Mankey G J and Suzuki T 2019 Phys. Rev. B 99 144416
[5] Seemann K 2021 J. Magn. Magn. Mater. 529 167850
[6] Rodríguez-Suárez R L, Oliveira A B, Estrada F, Maior D S, Arana M, Santos O A, Azevedo A and Rezende S M 2018 J. Appl. Phys. 123 043901
[7] Rezende S M, Azevedo A, Lucena M A and de Aguiar F M 2001 Phys. Rev. B 63 214418
[8] Rezende S M, Lucena M A, Azevedo A, de Aguiar F M, Fermin J R and Parkin S S P 2003 J. Appl. Phys. 93 7717
[9] Lee H, Wang Y H A, Mewes C K A, Butler W H, Mewes T, Maat S, York B, Carey M J and Childress J R 2009 Appl. Phys. Lett. 95 082502
[10] Mohammadi J B, Jones J M, Paul S, Khodadadi B, Mewes C K A, Mewes T and Kaiser C 2017 Phys. Rev. B 95 064414
[11] Wei Y J, Akansel S, Thersleff T, Harward I, Brucas R, Ranjbar M, Jana S, Lansaker P, Pogoryelov Y, Dumas R K, Leifer K, Karis O, Åkerman J, Celinski Z and Svedlindh P 2015 Appl. Phys. Lett. 106 042405
[12] Chen H, Chen Y P, Wang T, Xie Y S, Franco A F and Xiao J Q 2020 IEEE Trans. Magn. 56 2800506
[13] Mizukami S, Ando Y and Miyazaki T 2001 J. Magn. Magn. Mater. 226-230 1640
[14] Sossmeier K D, Beck F, Gomes R C, Schelp L F and Cararaetc M 2010 J. Phys. D: Appl. Phys. 43 055003
[15] Wang J, Tu H Q, Liang J, Zhai Y, Liu R B, Yuan Y, Huang L A, Liu T Y, Liu B, Meng H, You B, Zhang W, Xu Y B and Du J 2020 Chin. Phys. B 29 107503
[16] Wang C L, Zhang S H, Li S D, Du H L, Zhao G X and Cao D R 2020 Chin. Phys. B 29 046202
[17] Layadi A 2012 J. Appl. Phys. 112 073901
[18] Zhang L, Rong J H, Yun G H, Wang D and Bao L B 2016 Mater. Res. Express 3 076101
[19] Gandhi A C and Lin J G 2017 J. Phys.: Condens. Matter. 29 215802
[20] Rong J H, Zhang L, Yun G H and Bao L B 2019 Indian J. Phys. 93 207
[21] Choi S, Bac S K, Liu X Y, Lee S, Dong S, Dobrowolska M and Furdyna J K 2019 Sci. Rep. 9 13061
[22] Huang Y, Wang X Q, Wu H L, Li X L, Feng H M, Liu Y Y, Liu W S, Ma Y X, Liu Q F and Wang J B 2020 J. Magn. Magn. Mater. 494 165756
[23] Wang C M, Zhang S H, Huang Y C, Sang T, Cao D R, Wang X, Xu J, Zhao G X, Wang C L and Li S D 2021 J. Magn. Magn. Mater. 527 167801
[24] Sipeky A and Ivanyi A 2006 Phys. B 372 177
[25] Gueye M, Zighem F, Belmeguenai M, Gabor M, Tiusan C and Faurie D 2016 J. Phys. D: Appl. Phys. 49 265001
[26] Li S D, Miao G X, Cao D R, Li Q, Xu J, Wen Z, Dai Y Y, Yan S S and Lu Y G 2018 ACS Appl. Mater. Interfaces 10 8853
[27] Wang H, Rong J H, Yun G H and Bao L B 2019 Acta. Phys. Pol. A 136 405
[28] Wang H, Zhou J Y, Wang Y N and Ma R J 2020 Indian J. Phys. 95 2359
[29] Layadi A 2020 J. Appl. Phys. 127 223907
[30] Smit J and Beljers H G 1955 Philips Res. Rep. 10 113
[31] Suhl H 1955 Phys. Rev. 97 555
[32] Celinski Z, Urquhart K B and Heinrich B 1997 J. Magn. Magn. Mater. 166 6
[33] Toliński T, Lenz K, Lindner J, Kosubek E, Baberschke K, Spoddig D and Meckenstock R 2003 Solid State Commun. 128 385

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Theoretical investigation of ferromagnetic resonance in a ferromagnetic thin film with external stress anisotropy

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