Smooth electron waveguides in graphene

We present exact analytical solutions for the zero-energy modes of two-dimensional massless Dirac fermions fully confined within a smooth one-dimensional potential V(x)=−α/cosh(βx), which provides a good fit for potential profiles of existing top-gated graphene structures. We show that there is a th...

Full description

Saved in:
Bibliographic Details
Main Authors: Hartmann, Richard R., Robinson, N. J., Portnoi, Mikhail E.
Format: text
Published: Animo Repository 2010
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/faculty_research/7394
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: De La Salle University
id oai:animorepository.dlsu.edu.ph:faculty_research-8102
record_format eprints
spelling oai:animorepository.dlsu.edu.ph:faculty_research-81022022-10-19T01:20:48Z Smooth electron waveguides in graphene Hartmann, Richard R. Robinson, N. J. Portnoi, Mikhail E. We present exact analytical solutions for the zero-energy modes of two-dimensional massless Dirac fermions fully confined within a smooth one-dimensional potential V(x)=−α/cosh(βx), which provides a good fit for potential profiles of existing top-gated graphene structures. We show that there is a threshold value of the characteristic potential strength α/β for which the first mode appears, in striking contrast to the nonrelativistic case. A simple relationship between the characteristic strength and the number of modes within the potential is found. An experimental setup is proposed for the observation of these modes. The proposed geometry could be utilized in future graphene-based devices with high on/off current ratios. 2010-06-21T07:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/7394 Faculty Research Work Animo Repository Graphene Wave guides Physics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Graphene
Wave guides
Physics
spellingShingle Graphene
Wave guides
Physics
Hartmann, Richard R.
Robinson, N. J.
Portnoi, Mikhail E.
Smooth electron waveguides in graphene
description We present exact analytical solutions for the zero-energy modes of two-dimensional massless Dirac fermions fully confined within a smooth one-dimensional potential V(x)=−α/cosh(βx), which provides a good fit for potential profiles of existing top-gated graphene structures. We show that there is a threshold value of the characteristic potential strength α/β for which the first mode appears, in striking contrast to the nonrelativistic case. A simple relationship between the characteristic strength and the number of modes within the potential is found. An experimental setup is proposed for the observation of these modes. The proposed geometry could be utilized in future graphene-based devices with high on/off current ratios.
format text
author Hartmann, Richard R.
Robinson, N. J.
Portnoi, Mikhail E.
author_facet Hartmann, Richard R.
Robinson, N. J.
Portnoi, Mikhail E.
author_sort Hartmann, Richard R.
title Smooth electron waveguides in graphene
title_short Smooth electron waveguides in graphene
title_full Smooth electron waveguides in graphene
title_fullStr Smooth electron waveguides in graphene
title_full_unstemmed Smooth electron waveguides in graphene
title_sort smooth electron waveguides in graphene
publisher Animo Repository
publishDate 2010
url https://animorepository.dlsu.edu.ph/faculty_research/7394
_version_ 1767196699057455104