Permanent current from non-commutative spin algebra

Details Permanent current from non-commutative spin algebra Permanent current from non-commutative spin algebra

2002-08-20

arxiv.org/abs/cond-mat/0208377v1

Phys. Rev. B67,113316 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 4 figures on separate page

Scientific paper

10.1103/PhysRevB.67.113316

We show that a spontaneous electric current is induced in a nano-scale conducting ring just by putting three ferromagnets. The current is a direct consequence of the non-commutativity of the spin algebra, and is proportional to the non-coplanarity (chirality) of the magnetization vectors. The spontaneous current gives a natural explanation to the chirality-driven anomalous Hall effect.

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