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Cited by 144Noncommutative and Quantum Gravity TheoriesQuantum Mechanics and Non-Hermitian PhysicsQuantum and electron transport phenomena

Spin Hall effect and Berry phase of spinning particles

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Bérard, Alain, Mohrbach, Hervé·2006·Physics Letters A
DOI 10.1016/j.physleta.2005.11.071
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Crossref · 10.1016/j.physleta.2005.11.071

Cites

44 of 44 references verified0 citation errors · 0 not checkable

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  • The spin-Hall effect and equations of motion for spinning light are completely analogous to those for electrons in condensed-matter and high-energy systems.

    “The spin-Hall effect and the equations of motion (1) for spinning light are completely analogous to those for electrons in condensed-matter 70 and high-energy 10 systems.”

    From Spin–orbit interactions of light (2015) · cites this paper as [10]

    The Introduction (p. 1) describes a common Berry-connection mechanism for spinning particles, including electrons, and Section D (p. 5) derives a spin-Hall effect for light. But Section IV (p. 4) calls the semiconductor equations “similar non-relativistic equations,” while Section C (p. 4) describes a relativistic generalization. These passages support an analogy, not the claim that the effects and equations are completely analogous across the settings. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

  • The intrinsic SOI of light originate from fundamental properties of the Maxwell equations and are analogous to the spin-orbit interactions of relativistic quantum particles and electrons in solids.

    “The intrinsic SOI of light originate from fundamental properties of the Maxwell equations 7,8 and are analogous to the spin-orbit interactions of relativistic quantum particles 2,9,10 and electrons in solids 11,12 .”

    From Spin–orbit interactions of light (2015) · cites this paper as [10]

  • The Berry phase induces an additional term in the equations of motion (ray equations) which describes a polarization-dependent shift of the wave trajectory.

    “In particular, it induces an additional term in the equations of motion (ray equations) which describes a polarization-dependent shift of the wave trajectory.”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [32]

  • This polarization-dependent shift is known as the spin Hall effect of light or optical Magnus effect.

    “This effect is known as the spin Hall effect of light or optical Magnus effect [24 -35]”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [32]

  • In the momentum representation, the spin-orbit interaction of light acquires the same form as the spin-orbit interaction of electrons stemming from the Dirac equation.

    “In such representation, the spin-orbit interaction of light, Eq. (3.16), acquires the same form as the spin-orbit interaction of electrons stemming from the Dirac equation [29,32,54,81 -83].”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [32]

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Cites

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2 of the 46 references couldn’t be matched to a known paper.

Research works printed but not linked: 5

  1. [10]E. M. Lifshitz and L. P. Pitaevskii, 'Statistical Physics', Vol 9 , Pergamon Press (1981).
  2. [19]V. Bargmann, E.P. Wigner, Proc. Nat. Acd. Sci. 34 (1948) 211.
  3. [21]M.S. Plyushchay, Mod. Phys. Lett. A 4 (1989) 837; Phys. Lett. B 243 (1990) 383; J.L. Cortes, M.S. Plyushchay, Int. J. Mod. Phys. A 11 (1996) 3331; P.A. Horvathy, M.S. Plyushchay, JHEP 0206 (2002) 033; hep-th/0404137. · arXiv
  4. [22]M.V. Berry, Proc. R. Soc. London A 392 (1984) 45.
  5. [29]K.Y. Bliokh, Y.P. Bliokh, Phys. Lett A 333 (2004), 181; Phys. Rev. E 70 (2004) 026605. M. Onoda, S. Murakami, N. Nagasoa, Phys. Rev. Lett. 93 (2004) 083901.

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Authors
Bérard, A., & Mohrbach, H.
Affiliations
  • Institut de Physique (FR)
  • Max Planck Institute for Polymer Research (DE)
Corresponding author
Mohrbach, Hervé
ORCID
Mohrbach, Hervé
Venue
Physics Letters A
Publisher
Elsevier BV
Published
2006-03
Volume
352
Issue
3
Pages
190-195
ISSN
0375-9601 (ISSN-L)
DOI
10.1016/j.physleta.2005.11.071
OpenAlex
W2059545358
Cited by
144
References
46
Citations by year
2026: 2 · 2025: 4 · 2024: 3 · 2023: 6 · 2022: 8 · 2021: 11 · 2020: 3 · 2019: 5 · 2018: 4 · 2017: 4 · 2016: 4 · 2015: 7 · 2014: 5 · 2013: 4 · 2012: 10
FWCI
6.29
Type
journal article
Language
en
Open access
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Physics Letters A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • HAL (submittedVersion, other-oa)
  • HAL (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
Keywords
spin Hall effect, Berry phase, Berry curvature, Dirac equation, noncommutative coordinates, Bargmann-Wigner equations, spinning particles, Magnus effect, electric field dynamics

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