Smooth electron waveguides in graphene
College
College of Science
Department/Unit
Physics
Document Type
Archival Material/Manuscript
Publication Date
6-21-2010
Abstract
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.
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Recommended Citation
Hartmann, R. R., Robinson, N. J., & Portnoi, M. E. (2010). Smooth electron waveguides in graphene. Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/7394
Disciplines
Physics
Keywords
Graphene; Wave guides
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