Tunneling of massive dirac fermions in graphene through time-periodic potential

The energy spectrum of a graphene sheet subject to a single barrier potential having a time periodic oscillating height and subject to a magnetic field is analyzed. The corresponding transmission is studied as function of the incident energy and potential parameters. Quantum interference within the...

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Published in	The European physical journal. B, Condensed matter physics Vol. 87; no. 6
Main Authors	Jellal, Ahmed, Mekkaoui, Miloud, Choubabi, El Bouâzzaoui, Bahlouli, Hocine
Format	Journal Article
Language	English
Published	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2014 Springer
Subjects	Analysis Complex Systems Condensed Matter Physics Fluid- and Aerodynamics Graphene Graphite Magnetic fields Physics Physics and Astronomy Regular Article Solid State Physics Mesoscopic and Nanoscale Systems
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Abstract	The energy spectrum of a graphene sheet subject to a single barrier potential having a time periodic oscillating height and subject to a magnetic field is analyzed. The corresponding transmission is studied as function of the incident energy and potential parameters. Quantum interference within the oscillating barrier has an important effect on quasiparticles tunneling. In particular the time-periodic electrostatic potential generates additional sidebands at energies ϵ + l ħ ω ( l = 0, ±1, ... ) in the transmission probability originating from the photon absorption or emission within the oscillating barrier. Due to numerical difficulties in truncating the resulting coupled channel equations we limited ourselves to low quantum channels, i.e. l = 0, ± 1.
AbstractList	The energy spectrum of a graphene sheet subject to a single barrier potential having a time periodic oscillating height and subject to a magnetic field is analyzed. The corresponding transmission is studied as function of the incident energy and potential parameters. Quantum interference within the oscillating barrier has an important effect on quasiparticles tunneling. In particular the time-periodic electrostatic potential generates additional sidebands at energies ϵ + l ħ ω ( l = 0, ±1, ... ) in the transmission probability originating from the photon absorption or emission within the oscillating barrier. Due to numerical difficulties in truncating the resulting coupled channel equations we limited ourselves to low quantum channels, i.e. l = 0, ± 1. The energy spectrum of a graphene sheet subject to a single barrier potential having a time periodic oscillating height and subject to a magnetic field is analyzed. The corresponding transmission is studied as function of the incident energy and potential parameters. Quantum interference within the oscillating barrier has an important effect on quasiparticles tunneling. In particular the time-periodic electrostatic potential generates additional sidebands at energies e + lhw (l = 0, ± 1, ...) in the transmission probability originating from the photon absorption or emission within the oscillating barrier. Due to numerical difficulties in truncating the resulting coupled channel equations we limited ourselves to low quantum channels, i.e. l = 0, ± 1.
ArticleNumber	123
Audience	Academic
Author	Mekkaoui, Miloud Choubabi, El Bouâzzaoui Bahlouli, Hocine Jellal, Ahmed
Author_xml	– sequence: 1 givenname: Ahmed surname: Jellal fullname: Jellal, Ahmed email: ahmed.jellal@gmail.com organization: Saudi Center for Theoretical Physics, Theoretical Physics Group, Faculty of Sciences, Chouaïb Doukkali University – sequence: 2 givenname: Miloud surname: Mekkaoui fullname: Mekkaoui, Miloud organization: Theoretical Physics Group, Faculty of Sciences, Chouaïb Doukkali University – sequence: 3 givenname: El Bouâzzaoui surname: Choubabi fullname: Choubabi, El Bouâzzaoui organization: Theoretical Physics Group, Faculty of Sciences, Chouaïb Doukkali University, Physics Department, Faculty Polydisciplinary, Sultan Moulay Slimane University – sequence: 4 givenname: Hocine surname: Bahlouli fullname: Bahlouli, Hocine organization: Saudi Center for Theoretical Physics, Physics Department, King Fahd University of Petroleum and Minerals
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Cites_doi	10.1038/nmat1849 10.1103/PhysRevB.84.035428 10.1103/PhysRevB.88.195419 10.1103/PhysRevLett.8.246 10.1063/1.4758695 10.1140/epjb/e2013-40691-0 10.1126/science.1102896 10.1103/PhysRevB.49.16544 10.1103/PhysRevLett.98.066802 10.1103/PhysRevA.51.798 10.1103/PhysRevB.78.165420 10.1103/PhysRevLett.98.256803 10.1103/PhysRev.129.647 10.1103/RevModPhys.81.109 10.1103/PhysRevB.66.035306 10.1063/1.3479912 10.1063/1.3597412 10.1140/epjb/e2013-40122-4 10.1103/RevModPhys.70.223 10.1103/PhysRevLett.109.226602 10.1103/PhysRevLett.67.516 10.1063/1.3460291 10.1140/epjb/e2012-30716-7
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Title	Tunneling of massive dirac fermions in graphene through time-periodic potential
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