Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise
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 t...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/abe1e6 |
| _version_ | 1797750169128665088 |
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| author | Gheorghe Sorin Paraoanu |
| author_facet | Gheorghe Sorin Paraoanu |
| author_sort | Gheorghe Sorin Paraoanu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:29:48Z |
| format | Article |
| id | doaj.art-ca419d1b3dd64e5dbaa042a3b7ccef8b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:29:48Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ca419d1b3dd64e5dbaa042a3b7ccef8b2023-08-08T15:34:32ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123404302710.1088/1367-2630/abe1e6Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noiseGheorghe Sorin Paraoanu0https://orcid.org/0000-0003-0057-7275QTF Centre of Excellence, Department of Applied Physics, Aalto University School of Science , P.O. Box 15100, FI-00076 AALTO, FinlandWhen 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.https://doi.org/10.1088/1367-2630/abe1e6grapheneKlein tunnelingFano factorelectrical conductivitydoping |
| spellingShingle | Gheorghe Sorin Paraoanu Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise New Journal of Physics graphene Klein tunneling Fano factor electrical conductivity doping |
| title | Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise |
| title_full | Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise |
| title_fullStr | Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise |
| title_full_unstemmed | Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise |
| title_short | Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise |
| title_sort | klein tunneling through the trapezoidal potential barrier in graphene conductance and shot noise |
| topic | graphene Klein tunneling Fano factor electrical conductivity doping |
| url | https://doi.org/10.1088/1367-2630/abe1e6 |
| work_keys_str_mv | AT gheorghesorinparaoanu kleintunnelingthroughthetrapezoidalpotentialbarrieringrapheneconductanceandshotnoise |