Klein tunneling through the trapezoidal potential barrier in graphene: Conductance and shot noise

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openAccess

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Journal Title

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Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2021-04

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Mcode

Degree programme

Language

en

Pages

18

Series

New Journal of Physics, Volume 23, issue 4

Abstract

When a single-layer graphene sheet is contacted with metallic electrodes, tunnel barriers are formed as a result of the doping of graphene by the metal in the contact region. If the Fermi energy level is modulated by a gate voltage, the phenomenon of Klein tunneling results in specific features in the conductance and noise. Here we obtain analytically exact solutions for the transmission and reflection probability amplitudes using a trapezoidal potential barrier, allowing us to calculate the differential conductance and the Fano factor for a graphene sheet in the ballistic regime.We put in evidence an unexpected global symmetry-the transmission probability is the same for energies symmetric with respect to half of the barrier height.We outline a proposal for the experimental verification of these ideas using realistic sample parameters.

Description

| openaire: EC/H2020/824109/EU//EMP

Keywords

Doping, Electrical conductivity, Fano factor, Graphene, Klein tunneling

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Citation

Paraoanu, G S 2021, ' Klein tunneling through the trapezoidal potential barrier in graphene : Conductance and shot noise ', New Journal of Physics, vol. 23, no. 4, 043027 . https://doi.org/10.1088/1367-2630/abe1e6