Fizika Nizkikh Temperatur: Volume 44, Number 7 (July 2018), p. 905-913    ( to contents , go back )

About ballistic transport in channels with negative refraction of partcles

L.A. Pastur, V.V. Slavin, and A.V. Yanovskii

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Nauky Ave., Kharkiv 61103, Ukraine
E-mail: slavin@ilt.kharkov.ua

Received February 28, 2018

Abstract

We have considered ballistic transport in a channel consisting of two layers, assuming that on the layers boundary negative refraction of particles, moving along the channel, takes place, which is similar to Veselago effect known in optics. To such a formulation of the model can lead electron transport in graphene and Weyl metals, where negative refraction is due to the Klein effect on the p–n junction, as well as the spin, for example, the photon transport in meta-materials. We have shown that in the semiclassical approximation the boundary with negative refraction has the property, which is similar to backscattering and therefore can significantly affect the transport through long and narrow channels, even in the case of a perfect border. If the border is not perfect (roughness, adsorbed impurities, etc.), and processes of refraction (tunneling) and reflection occur randomly, then a set of interesting properties of the channel substantially expands and opens effective control particles through such channels, including smooth mode as well as hard cut-off mode.

PACS: 72.80.Vp Electronic transport in graphene;
PACS: 78.67.Pt Multilayers; superlattices;
PACS: 42.25.Gy Edge and boundary effects; reflec-tion and refraction.

Key words: negative refraction, transport, conductance, Klein tunneling, graphene.

Published online: May 28, 2018

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