Spin-orbit torques induced by spin Hall and spin swapping currents of a separate ferromagnet in a magnetic trilayer

Eun Sang Park; Byoung Chul Min; Hyun Cheol Koo; Kyoung Whan Kim; Kyoung Jin Lee

doi:10.1016/j.cap.2021.05.015

Spin-orbit torques induced by spin Hall and spin swapping currents of a separate ferromagnet in a magnetic trilayer

Eun Sang Park, Byoung Chul Min, Hyun Cheol Koo, Kyoung Whan Kim, Kyoung Jin Lee

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Spin-orbit torques (SOTs) have been investigated most widely in normal metal/ferromagnet bilayers where the spin Hall effect of normal metal is a main source of spin currents. Recently, ferromagnets are found to also serve as spin-current sources through spin-orbit coupling. In this work, we theoretically investigate SOT acting on ferromagnet₂ in ferromagnet₁/normal metal/ferromagnet₂ trilayers, which is caused by the spin Hall and spin swapping effects of ferromagnet₁. Our result provides an analytical expression of SOT in the trilayers, which may be useful for quantifying the spin Hall and spin swapping effects of ferromagnets and also for designing and interpreting SOT experiments where a ferromagnet is used as a spin-current source instead of a normal metal.

Original language	English
Pages (from-to)	54-58
Number of pages	5
Journal	Current Applied Physics
Volume	29
DOIs	https://doi.org/10.1016/j.cap.2021.05.015
Publication status	Published - 2021 Sept

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT ( 2015M3D1A1070465 , 2020R1C1C1012664 , 2019M3F3A1A02071509 , 2020R1A2C3013302 , 2020M3F3A2A01082591 ), the KIST Institutional Program ( 2E31032 ), the National Research Council of Science and Technology (NST) ( CAP-16-01-KIST ), and Samsung Electronics Co., Ltd. ( IO201019-07699-01 ).

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (2015M3D1A1070465, 2020R1C1C1012664, 2019M3F3A1A02071509, 2020R1A2C3013302, 2020M3F3A2A01082591), the KIST Institutional Program (2E31032), the National Research Council of Science and Technology (NST) (CAP-16-01-KIST), and Samsung Electronics Co. Ltd. (IO201019-07699-01).

Publisher Copyright:
© 2021 Korean Physical Society

Keywords

Spin Hall effect
Spin swapping effect
Spin-orbit torque

ASJC Scopus subject areas

General Materials Science
General Physics and Astronomy

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10.1016/j.cap.2021.05.015

Cite this

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title = "Spin-orbit torques induced by spin Hall and spin swapping currents of a separate ferromagnet in a magnetic trilayer",

abstract = "Spin-orbit torques (SOTs) have been investigated most widely in normal metal/ferromagnet bilayers where the spin Hall effect of normal metal is a main source of spin currents. Recently, ferromagnets are found to also serve as spin-current sources through spin-orbit coupling. In this work, we theoretically investigate SOT acting on ferromagnet2 in ferromagnet1/normal metal/ferromagnet2 trilayers, which is caused by the spin Hall and spin swapping effects of ferromagnet1. Our result provides an analytical expression of SOT in the trilayers, which may be useful for quantifying the spin Hall and spin swapping effects of ferromagnets and also for designing and interpreting SOT experiments where a ferromagnet is used as a spin-current source instead of a normal metal.",

keywords = "Spin Hall effect, Spin swapping effect, Spin-orbit torque",

author = "Park, {Eun Sang} and Min, {Byoung Chul} and Koo, {Hyun Cheol} and Kim, {Kyoung Whan} and Lee, {Kyoung Jin}",

note = "Funding Information: This work was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT ( 2015M3D1A1070465 , 2020R1C1C1012664 , 2019M3F3A1A02071509 , 2020R1A2C3013302 , 2020M3F3A2A01082591 ), the KIST Institutional Program ( 2E31032 ), the National Research Council of Science and Technology (NST) ( CAP-16-01-KIST ), and Samsung Electronics Co., Ltd. ( IO201019-07699-01 ). Funding Information: This work was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (2015M3D1A1070465, 2020R1C1C1012664, 2019M3F3A1A02071509, 2020R1A2C3013302, 2020M3F3A2A01082591), the KIST Institutional Program (2E31032), the National Research Council of Science and Technology (NST) (CAP-16-01-KIST), and Samsung Electronics Co. Ltd. (IO201019-07699-01). Publisher Copyright: {\textcopyright} 2021 Korean Physical Society",

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AU - Park, Eun Sang

AU - Min, Byoung Chul

AU - Koo, Hyun Cheol

AU - Kim, Kyoung Whan

AU - Lee, Kyoung Jin

N1 - Funding Information: This work was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT ( 2015M3D1A1070465 , 2020R1C1C1012664 , 2019M3F3A1A02071509 , 2020R1A2C3013302 , 2020M3F3A2A01082591 ), the KIST Institutional Program ( 2E31032 ), the National Research Council of Science and Technology (NST) ( CAP-16-01-KIST ), and Samsung Electronics Co., Ltd. ( IO201019-07699-01 ). Funding Information: This work was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (2015M3D1A1070465, 2020R1C1C1012664, 2019M3F3A1A02071509, 2020R1A2C3013302, 2020M3F3A2A01082591), the KIST Institutional Program (2E31032), the National Research Council of Science and Technology (NST) (CAP-16-01-KIST), and Samsung Electronics Co. Ltd. (IO201019-07699-01). Publisher Copyright: © 2021 Korean Physical Society

PY - 2021/9

Y1 - 2021/9

N2 - Spin-orbit torques (SOTs) have been investigated most widely in normal metal/ferromagnet bilayers where the spin Hall effect of normal metal is a main source of spin currents. Recently, ferromagnets are found to also serve as spin-current sources through spin-orbit coupling. In this work, we theoretically investigate SOT acting on ferromagnet2 in ferromagnet1/normal metal/ferromagnet2 trilayers, which is caused by the spin Hall and spin swapping effects of ferromagnet1. Our result provides an analytical expression of SOT in the trilayers, which may be useful for quantifying the spin Hall and spin swapping effects of ferromagnets and also for designing and interpreting SOT experiments where a ferromagnet is used as a spin-current source instead of a normal metal.

AB - Spin-orbit torques (SOTs) have been investigated most widely in normal metal/ferromagnet bilayers where the spin Hall effect of normal metal is a main source of spin currents. Recently, ferromagnets are found to also serve as spin-current sources through spin-orbit coupling. In this work, we theoretically investigate SOT acting on ferromagnet2 in ferromagnet1/normal metal/ferromagnet2 trilayers, which is caused by the spin Hall and spin swapping effects of ferromagnet1. Our result provides an analytical expression of SOT in the trilayers, which may be useful for quantifying the spin Hall and spin swapping effects of ferromagnets and also for designing and interpreting SOT experiments where a ferromagnet is used as a spin-current source instead of a normal metal.

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JF - Current Applied Physics

ER -

Spin-orbit torques induced by spin Hall and spin swapping currents of a separate ferromagnet in a magnetic trilayer

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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