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Cited by 153Quantum and electron transport phenomenaMagnetic properties of thin filmsQuantum and Classical Electrodynamics

Spin Transverse Force on Spin Current in an Electric Field

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Shen, Shun-Qing·2005·Physical Review Letters
DOI 10.1103/physrevlett.95.187203
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Abstract

As a relativistic quantum mechanical effect, it is shown that the electron field exerts a transverse force on an electron spin 1/2 only if the electron is moving. The spin force, analogue to the Lorentz for an electron charge in a magnetic field, is perpendicular to the electric field and the spin current whose spin polarization is projected along the electric field. This spin-dependent force can be used to understand the Zitterbewegung of the electron wave packet with spin-orbit coupling and is relevant to the generation of the charge Hall effect driven by the spin current in semiconductors.

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  • The non-Abelian Lorentz force can be regarded as a spin-induced force with a magnetic part acting on the spin current and an electric part acting on the average spin over the transverse cross sections of the beam.

    “Here, represents the -component of the linear spin current operator54, thus the non-Abelian Lorentz force can also be regarded as a spin-induced force with a magnetic part acting on the spin current and an electric part acting on the average spin over the transverse cross sections of the beam.”

    From Non-Abelian gauge field optics (2019) · cites this paper as [54]

    In the discussion of Eqs. (3)–(7) (page not supplied), Shen describes an SU(2) gauge potential and a spin-dependent transverse force proportional to spin current in an electric field. The paper does not describe a magnetic part acting on spin current or an electric part acting on spin averaged across a beam’s transverse cross sections. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

  • The magnetic part of the non-Abelian Lorentz force duplicates the spin transverse force in electronics.

    “In particular, the magnetic part of the force, , duplicates the “spin transverse force” in electronics which acts on an electronic spin current exerted by a vertical electric field54.”

    From Non-Abelian gauge field optics (2019) · cites this paper as [54]

    The paper describes an electric field exerting a transverse force on a moving electronic spin current (conclusion; page unavailable). But its force discussion distinguishes that spin-transverse term from the Lorentz-force term and says the latter vanishes for a uniform electric field. It therefore does not establish that a magnetic part of a non-Abelian Lorentz force duplicates the spin-transverse force. (LLM, conf=0.82)

    Experimental — accuracy not yet measured

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References 34 · Cited by 153

Research works printed but not linked: 36

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Authors
Shen, S.-Q.
Affiliations
University of Hong Kong (HK)
Corresponding author
Shen, Shun-Qing
ORCID
Shen, Shun-Qing
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2005-10-25
Volume
95
Issue
18
Pages
187203-187203
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.95.187203
OpenAlex
W2047514018
Cited by
153
References
34
Citations by year
2025: 4 · 2024: 3 · 2023: 5 · 2022: 10 · 2021: 4 · 2020: 5 · 2019: 4 · 2018: 8 · 2017: 8 · 2016: 9 · 2015: 4 · 2014: 8 · 2013: 7 · 2012: 7
FWCI
8.78
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • The HKU Scholars Hub (University of Hong Kong) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
Keywords
spin current, electric field, electron spin, spin polarization, Zitterbewegung, spin-orbit coupling, spin current generation, relativistic quantum mechanics

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