Charge-Hall effect driven by spin force: reciprocal of the spin-Hall effect

Ping Zhang; Qian Niu

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Charge-Hall effect driven by spin force: reciprocal of the spin-Hall effect

Ping Zhang·Qian Niu

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Abstract

A new kind of charge-Hall effect is shown. Unlike in the usual Hall effect, the driving force in the longitudinal direction is a spin force, which may originate from the gradient of a Zeeman field or a spin-dependent chemical potential. The transverse force is provided by a Berry curvature in a mixed position-momentum space. We can establish an Onsager relation between this effect and the spin-Hall effect provided the spin current in the latter is modified by a torque dipole contribution. This remarkable relation leads to new ways for experimental detection of spin accumulation predicted by the spin Hall effect.

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Ping Zhang, Qian Niu. 2004-06-18. Charge-Hall effect driven by spin force: reciprocal of the spin-Hall effect. https://arxiv.org/abs/cond-mat/0406436

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