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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:1811.06513 (cond-mat)
[Submitted on 15 Nov 2018 (v1), last revised 2 Apr 2019 (this version, v2)]

Title:Effect of Magnetic Field on Goos-Hänchen Shifts in Gaped Graphene Triangular Barrier

Authors:Miloud Mekkaoui, Ahmed Jellal, Hocine Bahlouli
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Abstract:We study the effect of a magnetic field on Goos-Hänchen shifts in gaped graphene subjected to a double triangular barrier. Solving the wave equation separately in each region composing our system and using the required boundary conditions, we then compute explicitly the transmission probability for scattered fermions. These wavefunctions are then used to derive the Goos-Hänchen shifts in terms of different physical parameters such as energy, electrostatic potential strength and magnetic field. Our numerical results show that the Goos-Hänchen shifts are affected by the presence of the magnetic field and depend on the geometrical structure of the triangular barrier.
Comments: 16 pages, 8 figures, misprints corrected, references added
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph); Quantum Physics (quant-ph)
Cite as: arXiv:1811.06513 [cond-mat.mes-hall]
  (or arXiv:1811.06513v2 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.1811.06513
Journal reference: Physica E 111, 218 (2019)
Related DOI: https://doi.org/10.1016/j.physe.2019.03.018

Submission history

From: Ahmed Jellal [view email]
[v1] Thu, 15 Nov 2018 18:18:58 UTC (2,074 KB)
[v2] Tue, 2 Apr 2019 09:08:33 UTC (2,773 KB)
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