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Phys. Rev. Lett. 98, 246601 (2007) [4 pages]

Generalization of Faraday’s Law to Include Nonconservative Spin Forces

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S. E. Barnes1,2 and S. Maekawa1,3
1Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
2Physics Department, University of Miami, Coral Gables, Florida 33124, USA
3CREST, Japan Science and Technology Agency (JST), Kawaguchi 332-0012, Japan

Received 22 November 2006; published 15 June 2007

The usual Faraday’s Law E=-dΦ/dt determines an electromotive force E which accounts only for forces resulting from the charge of electrons. In ferromagnetic materials, in general, there exist nonconservative spin forces which also contribute to E. These might be included in Faraday’s Law if the magnetic flux Φ is replaced by [/(-e)]γ, where γ is a Berry phase suitably averaged over the electron spin direction. These contributions to E represent the requirements of energy conservation in itinerant ferromagnets with time dependent order parameters.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.246601
DOI:
10.1103/PhysRevLett.98.246601
PACS:
72.25.Ba, 03.65.Vf, 75.60.Ch, 85.75.−d