Current Density and Zitterbewegung in a Monolayer Graphene

The trembling motion as known the Zitterbewegung (ZB) in the monolayer graphene is studied within the long-wave approximation. We derive an analytical expression for the operator of the current density by using the Heisenberg representation, the current density describes the current induced by the...

Full description

Bibliographic Details
Main Authors: Majid M. J., Alaa M. H.
Format: Article
Language:English
Published: University of Kufa 2018-12-01
Series:Journal of Kufa-Physics
Subjects:
Online Access:https://journal.uokufa.edu.iq/index.php/jkp/article/view/7243
_version_ 1797260446092230656
author Majid M. J.
Alaa M. H.
author_facet Majid M. J.
Alaa M. H.
author_sort Majid M. J.
collection DOAJ
description The trembling motion as known the Zitterbewegung (ZB) in the monolayer graphene is studied within the long-wave approximation. We derive an analytical expression for the operator of the current density by using the Heisenberg representation, the current density describes the current induced by the motion of the electronic wave packet on the surface of the graphene sheet. It has been taking into consideration many values for the initial pseudo-spin polarization for the wave packet. The Heisenberg representation is used to analyze the interference between the conduction and valence bands of a quantum state. The interference leads to temporal oscillations for the average values of current density in the monolayer graphene.
first_indexed 2024-04-24T23:25:27Z
format Article
id doaj.art-f0fe1b13fd644162af640bdd910ba838
institution Directory Open Access Journal
issn 2077-5830
2312-6671
language English
last_indexed 2024-04-24T23:25:27Z
publishDate 2018-12-01
publisher University of Kufa
record_format Article
series Journal of Kufa-Physics
spelling doaj.art-f0fe1b13fd644162af640bdd910ba8382024-03-16T01:22:57ZengUniversity of KufaJournal of Kufa-Physics2077-58302312-66712018-12-0110210.31257/2018/JKP/100205Current Density and Zitterbewegung in a Monolayer GrapheneMajid M. J.Alaa M. H. The trembling motion as known the Zitterbewegung (ZB) in the monolayer graphene is studied within the long-wave approximation. We derive an analytical expression for the operator of the current density by using the Heisenberg representation, the current density describes the current induced by the motion of the electronic wave packet on the surface of the graphene sheet. It has been taking into consideration many values for the initial pseudo-spin polarization for the wave packet. The Heisenberg representation is used to analyze the interference between the conduction and valence bands of a quantum state. The interference leads to temporal oscillations for the average values of current density in the monolayer graphene. https://journal.uokufa.edu.iq/index.php/jkp/article/view/7243Zitterbewegung Graphenewave packet current densityLocalized Quantum States
spellingShingle Majid M. J.
Alaa M. H.
Current Density and Zitterbewegung in a Monolayer Graphene
Journal of Kufa-Physics
Zitterbewegung
Graphene
wave packet
current density
Localized Quantum States
title Current Density and Zitterbewegung in a Monolayer Graphene
title_full Current Density and Zitterbewegung in a Monolayer Graphene
title_fullStr Current Density and Zitterbewegung in a Monolayer Graphene
title_full_unstemmed Current Density and Zitterbewegung in a Monolayer Graphene
title_short Current Density and Zitterbewegung in a Monolayer Graphene
title_sort current density and zitterbewegung in a monolayer graphene
topic Zitterbewegung
Graphene
wave packet
current density
Localized Quantum States
url https://journal.uokufa.edu.iq/index.php/jkp/article/view/7243
work_keys_str_mv AT majidmj currentdensityandzitterbewegunginamonolayergraphene
AT alaamh currentdensityandzitterbewegunginamonolayergraphene