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S. J. Blundell, “The Dirac Comb and the Kronig-Penney Model: Comment on ‘Scattering from a Locally Periodic Potential,’ by D. J. Griffiths and N. F. Taussig, American Journal of Physics, Vol. 60, 1992, pp. 883-888,” American Journal of Physics, Vol. 61, No. 12, 1993, pp. 1147-1148. doi:10.1119/1.17312

has been cited by the following article:

• TITLE: Coherent Tunneling Through Quantum Wire Tailored by Gaussian Profile

  AUTHORS: Hassan S. Ashour

  KEYWORDS: Mesoscopic Systems, Quantum Waveguide, Quantum Wire

  JOURNAL NAME: Journal of Modern Physics, Vol.2 No.3, March 31, 2011

  ABSTRACT: In this paper, we propose a novel structure of quantum waveguide. In this structure we tailored the quantum wire by Gaussian Profile. Thus, the Dirac-Delta function potentials are weighted according to Gaussian distribution function. We studied the electronic transmission properties through this tailored quantum waveguide structure. We have assumed that single free-electron channel is incident on the structure and the scattering of electrons is solely from the geometric nature of the problem. We have used the transfer matrix method to study the electron transmission. Coherent Tunneling is achieved through this structure, which is well-defined allowed conduction bands. The electronic conductance spectrum depends on the number of the Dirac delta function potential in the quantum wire. When the number of Dirac delta function potentials in the structure and their strengths are increased, both well defined conductance bands and sharper and narrower forbidden bands are formed. This novel structure has a good defect tolerance. The structure tolerates strength defect and tolerates position defect for the central Dirac delta function in the Gaussian distribution.