Published in

IOP Publishing, Journal of Physics: Condensed Matter, 1(35), p. 014001, 2022

DOI: 10.1088/1361-648x/ac9dd9

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Unified theory of spin and charge in a ferromagnet

Journal article published in 2022 by Oleg Tchernyshyov ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

Abstract We derive a unified theory of spin and charge degrees of freedom in a ferromagnet. The spin-transfer torque and spin electromotive force are examined from the coarse-grained perspective of collective coordinates. The resulting equations of motion reflect a balance of conservative, gyroscopic (Berry-phase), and dissipative forces. We then expand the space of collective coordinates by adding the electric charge. The adiabatic spin-transfer torque and spin electromotive force (emf) turn out to be a gyroscopic force; their nonadiabatic counterparts are a dissipative force.