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PreprintCC BY 4.0HAL

Barnett and Magnetorotatory Effects as Manifestations of a Local Spin-Frame Gauge Potential

  • Florian Millo
  • Massimiliano Marangolo
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Abstract

Mechanical rotation couples to spin through several distinct mechanisms, among which the Barnett effect and anisotropy-induced magnetorotation are typically treated separately. Here, we show that both effects emerge from a common origin: the local spin connection associated with the purely rotational sector of the Lorentz spin connection in Dirac covariant theory. Its temporal component yields the Barnett coupling, while its spatial component transports the local spin-frame orientation, whose coupling to magnetic anisotropy generates magnetorotation. We develop this correspondence to first-and second-order regimes, exposing distinct nonlinear consequences of the formalism. Finally, we relate our theoretical results to recent experimental findings obtained using Rayleigh surface acoustic waves.

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Cite

BibTeXRIS
BibTeX
@misc{millo2026barnett,
  title = {{Barnett and Magnetorotatory Effects as Manifestations of a Local Spin-Frame Gauge Potential}},
  author = {Florian Millo and Massimiliano Marangolo},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05783496v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Barnett and Magnetorotatory Effects as Manifestations of a Local Spin-Frame Gauge Potential
AU  - Florian Millo
AU  - Massimiliano Marangolo
PY  - 2026
DA  - 2026/09/17
PB  - HAL
UR  - https://hal.science/hal-05783496v1
AB  - Mechanical rotation couples to spin through several distinct mechanisms, among which the Barnett effect and anisotropy-induced magnetorotation are typically treated separately. Here, we show that both effects emerge from a common origin: the local spin connection associated with the purely rotational sector of the Lorentz spin connection in Dirac covariant theory. Its temporal component yields the Barnett coupling, while its spatial component transports the local spin-frame orientation, whose coupling to magnetic anisotropy generates magnetorotation. We develop this correspondence to first-and second-order regimes, exposing distinct nonlinear consequences of the formalism. Finally, we relate our theoretical results to recent experimental findings obtained using Rayleigh surface acoustic waves.
ER  -