skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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.. 2016. "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 = 2016,
month = 8
}
  • The method of free paths was used in an analysis of de-Groot type boundary condition in a magnetic field. The boundary conditions are applied in determining the distribution of charged particles along the radius of a cylindrical tube with and without considerations for volume recombination. The calculated curves are correlated with experimental data. (tr-auth)
  • Observable effects due to trembling motion [Zitterbewegung (ZB)] of charge carriers in bilayer graphene, monolayer graphene, and carbon nanotubes are calculated. It is shown that, when the charge carriers are prepared in the form of Gaussian wave packets, the ZB has a transient character with the decay time of femtoseconds in graphene and picoseconds in nanotubes. Analytical results for bilayer graphene allow us to investigate phenomena which accompany the trembling motion. In particular, it is shown that the transient character of ZB in graphene is due to the fact that wave subpackets related to positive and negative electron energies movemore » in opposite directions, so their overlap diminishes with time. This behavior is analogous to that of the wave packets representing relativistic electrons in a vacuum.« less
  • Graphene—two-dimensional carbon—is a material with unique mechanical, optical, chemical, and electronic properties. Its use in a wide range of applications was therefore suggested. From an electronic point of view, nanostructured graphene is of great interest due to the potential opening of a band gap, applications in quantum devices, and investigations of physical phenomena. Narrow graphene stripes called “nanoribbons” show clearly different electronical transport properties than micron-sized graphene devices. The conductivity is generally reduced and around the charge neutrality point, the conductance is nearly completely suppressed. While various mechanisms can lead to this observed suppression of conductance, disordered edges resulting inmore » localized charge carriers are likely the main cause in a large number of experiments. Localized charge carriers manifest themselves in transport experiments by the appearance of Coulomb blockade diamonds. This review focuses on the mechanisms responsible for this charge localization, on interpreting the transport details, and on discussing the consequences for physics and applications. Effects such as multiple coupled sites of localized charge, cotunneling processes, and excited states are discussed. Also, different geometries of quantum devices are compared. Finally, an outlook is provided, where open questions are addressed.« less