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Title: Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene

Abstract

In this paper, we have obtained exact analytical solutions of the time-independent Dirac-Weyl equation for the charge carriers with q-deformed pseudoscalar magnetic barrier (PMB) in graphene by using the ansatz method. We have also found a solution that describes the left propagating wave function to calculation of the reflection and transmission coefficients using the Riemann’s equation. This allows us to conclude about the Dirac-Weyl equation with PMB and to understand quantum behavior of the Dirac fermions. Finally, some of the numerical results are shown, too.

Authors:
 [1];  [2];  [1]
  1. Faculty of Physics, Semnan University, Semnan (Iran, Islamic Republic of)
  2. (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
22596480
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; CHARGE CARRIERS; FERMIONS; GRAPHENE; MAGNETIC FIELDS; WAVE FUNCTIONS

Citation Formats

Eshghi, M., E-mail: eshgi54@gmail.com, E-mail: m.eshghi@semnan.ac.ir, Department of Physics, Imam Hosein Comprehensive University, Tehran, and Mehraban, H. Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene. United States: N. p., 2016. Web. doi:10.1063/1.4960740.
Eshghi, M., E-mail: eshgi54@gmail.com, E-mail: m.eshghi@semnan.ac.ir, Department of Physics, Imam Hosein Comprehensive University, Tehran, & Mehraban, H. Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene. United States. doi:10.1063/1.4960740.
Eshghi, M., E-mail: eshgi54@gmail.com, E-mail: m.eshghi@semnan.ac.ir, Department of Physics, Imam Hosein Comprehensive University, Tehran, and Mehraban, H. Mon . "Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene". United States. doi:10.1063/1.4960740.
@article{osti_22596480,
title = {Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene},
author = {Eshghi, M., E-mail: eshgi54@gmail.com, E-mail: m.eshghi@semnan.ac.ir and Department of Physics, Imam Hosein Comprehensive University, Tehran and Mehraban, H.},
abstractNote = {In this paper, we have obtained exact analytical solutions of the time-independent Dirac-Weyl equation for the charge carriers with q-deformed pseudoscalar magnetic barrier (PMB) in graphene by using the ansatz method. We have also found a solution that describes the left propagating wave function to calculation of the reflection and transmission coefficients using the Riemann’s equation. This allows us to conclude about the Dirac-Weyl equation with PMB and to understand quantum behavior of the Dirac fermions. Finally, some of the numerical results are shown, too.},
doi = {10.1063/1.4960740},
journal = {Journal of Mathematical Physics},
number = 8,
volume = 57,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}