Cooperative phenomenon in a rippled graphene: Chiral spin guide

Abstract

We analyze spin scattering in ballistic transport of electrons through a ripple at a normal incidence of an electron flow. The model of a ripple consists of a curved graphene surface in the form of an arc of a circle connected from the left-hand and right-hand sides to two flat graphene sheets. At certain conditions the curvature induced spin-orbit coupling creates a transparent window for incoming electrons with one spin polarization simultaneously with a backscattering of those with opposite polarization. This window is equally likely transparent for electrons with spin up and spin down that move in opposite directions. The spin filtering effect being small in one ripple becomes prominent with the increase of N consequently connected ripples that create a graphene sheet of the sinusoidal type. We present the analytical expressions for spin up (down) transmission probabilities as a function of N connected ripples.

9 pages, 4 figures; extended version, results unchanged

References in corpus (9)

• Ripple Texturing of Suspended Graphene Atomic Membranes
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
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• Electron scattering on microscopic corrugations in graphene
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• Carbon nanotubes in electric and magnetic fields
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Cited by in corpus (5)

• Spin-dependent electron transmission across the corrugated graphene
• Klein collimation by rippled graphene superlattice
• Tuning Gap in Corrugated Graphene with Spin Dependence
• Spin-dependent transmission in curved graphene superlattice
• Tunneling in rippled graphene superlattice with spin dependence and a mass term