Transverse currents in spin transistors

Abstract

In many systems, planar Hall effect wherein transverse signal appears in response to longitudinal stimulus is rooted in spin-orbit coupling. A spin transistor put forward by Datta and Das on the other hand consists of ferromagnetic leads connected to spin-orbit coupled central region and its conductance can be controlled by tuning the strength of spin-orbit coupling. We find that transverse currents also appear in Datta-Das transistors made by connecting two two-dimensional ferromagnetic reservoirs to a central spin-orbit coupled two-dimensional electron gas. We find that the spin transistor exhibits a nonzero transverse conductivity which depends on the direction of polarization in ferromagnets and the location where it is measured. We study the conductivities for the system with finite and infinite widths. The conductivities exhibit Fabry-Pérot type oscillations as the length of the spin-orbit coupled regions is varied. Interestingly, even in the limit when longitudinal conductivity is made zero by cutting off the junction between the central spin-orbit coupled region and the ferromagnetic lead on one side (right), the transverse conductivities remain nonzero in the regions that are on the left side of the cut-off junction.

7 pages, 7 captioned figures

References in corpus (12)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin transport in proximity induced ferromagnetic graphene
• All-electric all-semiconductor spin field effect transistors
• Nonlinear planar Hall effect
• Observation of Planar Hall Effect in Topological Insulator -- Bi${}_2$Te${}_3$
• Finite transverse conductance in topological insulators under an applied in-plane magnetic field
• Tunable crossed Andreev reflection in a heterostructure consisting of ferromagnets, normal metal and superconductors
• Finite transverse conductance and anisotropic magnetoconductance under an applied in-plane magnetic field in two-dimensional electron gases with strong spin-orbit coupling
• Planar Hall effect in Cu intercalated PdTe${}_2$
• Effects of magnetic fields on the Datta-Das spin field-effect transistor
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Effects of different lead magnetizations on the Datta-Das spin field-effect transistor

Cited by in corpus (6)

• Transport across junctions of altermagnets with normal metals and ferromagnets
• Crossed Andreev reflection in altermagnets
• Fabry-Pérot interference in Josephson junctions
• Orientation dependent anomalous Hall and spin Hall currents at junctions of altermagnets with $p$-wave magnets
• All-electrical scheme for valley polarization in graphene
• Persistent currents in mesoscopic spin-orbit coupled rings due to an applied Zeeman field