Abstract
We study Berry curvature driven and Zeeman magnetic field dependent electric current responses of two-dimensional electron system with spin-orbit coupling. New non-dissipative component of the electric current occurring in the applied in-plane magnetic field is described. This component is transverse to the electric field, odd in the magnetic field, and depends only on one particular direction of the magnetic field defined by the spin-orbit coupling. We show that the effect can be observed in a number of systems with $C_{3v}$ symmetry.
Highlights
We study Berry curvature driven and Zeeman magnetic field dependent electric current responses of twodimensional electron system with spin-orbit coupling
The Hall effect happens in a configuration in which electric E and magnetic B fields and the current j are mutually orthogonal to each other [1,2], and the current is proportional to the first power of the magnetic field, jH ∝ [B × E]
In all known scenarios of anomalous Hall effect, just like in regular Hall effect, the three vectors: current, electric field, and magnetization M or Zeeman magnetic field are mutually orthogonal to each other, jAHE ∝ [M × E]
Summary
We study Berry curvature driven and Zeeman magnetic field dependent electric current responses of twodimensional electron system with spin-orbit coupling. The conventional model [6] of the anomalous Hall effect consists of a two-dimensional electron system with Rashba spin-orbit coupling [10] and perpendicular to the plane magnetization or Zeeman magnetic field [4]. Dimensional electron system even when the Zeeman magnetic field and the electric field are parallel to each other This is because the effective magnetic field effectively gets lifted from the x-y plane of the system with the help of spin-orbit coupling, and the Hall response becomes proportional to the jIPHE ∝ [[B × ez] × ey] × E (3). The Hamiltonian (for example, see [19]) of the system is, H
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