Electrical Manipulation of Spin-Dependent Anisotropy of a Dirac Cone in a Graphene Superlattice with Alternating Periodic Electrostatic and Exchange Fields

We studied the spin-dependent behavior of the electronic properties of alternating periodic potentials applied to finite and infinite graphene superlattices coupled with tunable electrostatic and exchange fields. The band structures were evaluated using the transfer matrix approach. The results of t...

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Main Authors: Pattana Somroob, Watchara Liewrian
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Condensed Matter
Subjects:
Online Access:https://www.mdpi.com/2410-3896/8/1/28
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author Pattana Somroob
Watchara Liewrian
author_facet Pattana Somroob
Watchara Liewrian
author_sort Pattana Somroob
collection DOAJ
description We studied the spin-dependent behavior of the electronic properties of alternating periodic potentials applied to finite and infinite graphene superlattices coupled with tunable electrostatic and exchange fields. The band structures were evaluated using the transfer matrix approach. The results of tuning the coupled electrostatic potential and exchange field showed that the spin-dependent anisotropy of a Dirac cone depends on the difference between the amplitude of periodically modulated coupling. Spin-dependent collimation occurs when the modulations become zero-average potentials with the ratio of both periodically modulated strengths equals one, in which one spin can be moved freely, but the other one is highly collimated. In addition, we find that the number of extra Dirac points in the infinite superlattice is spin-dependent. In terms of spin-ups, their number increases with an increase in the strength of both modulated fields. To ensure this calculation, we also compute the conductance of finite periodic modulation at zero energy. It is shown that the peaks of the conductance occur when the extra Dirac point emerges. This result may be utilized to design graphene-based devices with highly spin-polarized collimators.
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spelling doaj.art-841a223044d642c0ade6c75a9d7e25012023-11-17T10:27:01ZengMDPI AGCondensed Matter2410-38962023-03-01812810.3390/condmat8010028Electrical Manipulation of Spin-Dependent Anisotropy of a Dirac Cone in a Graphene Superlattice with Alternating Periodic Electrostatic and Exchange FieldsPattana Somroob0Watchara Liewrian1Theoretical and Computational Physics Group, Department of Physics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandTheoretical and Computational Physics Group, Department of Physics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandWe studied the spin-dependent behavior of the electronic properties of alternating periodic potentials applied to finite and infinite graphene superlattices coupled with tunable electrostatic and exchange fields. The band structures were evaluated using the transfer matrix approach. The results of tuning the coupled electrostatic potential and exchange field showed that the spin-dependent anisotropy of a Dirac cone depends on the difference between the amplitude of periodically modulated coupling. Spin-dependent collimation occurs when the modulations become zero-average potentials with the ratio of both periodically modulated strengths equals one, in which one spin can be moved freely, but the other one is highly collimated. In addition, we find that the number of extra Dirac points in the infinite superlattice is spin-dependent. In terms of spin-ups, their number increases with an increase in the strength of both modulated fields. To ensure this calculation, we also compute the conductance of finite periodic modulation at zero energy. It is shown that the peaks of the conductance occur when the extra Dirac point emerges. This result may be utilized to design graphene-based devices with highly spin-polarized collimators.https://www.mdpi.com/2410-3896/8/1/28graphenesuperlatticeband structure engineeringspintronics
spellingShingle Pattana Somroob
Watchara Liewrian
Electrical Manipulation of Spin-Dependent Anisotropy of a Dirac Cone in a Graphene Superlattice with Alternating Periodic Electrostatic and Exchange Fields
Condensed Matter
graphene
superlattice
band structure engineering
spintronics
title Electrical Manipulation of Spin-Dependent Anisotropy of a Dirac Cone in a Graphene Superlattice with Alternating Periodic Electrostatic and Exchange Fields
title_full Electrical Manipulation of Spin-Dependent Anisotropy of a Dirac Cone in a Graphene Superlattice with Alternating Periodic Electrostatic and Exchange Fields
title_fullStr Electrical Manipulation of Spin-Dependent Anisotropy of a Dirac Cone in a Graphene Superlattice with Alternating Periodic Electrostatic and Exchange Fields
title_full_unstemmed Electrical Manipulation of Spin-Dependent Anisotropy of a Dirac Cone in a Graphene Superlattice with Alternating Periodic Electrostatic and Exchange Fields
title_short Electrical Manipulation of Spin-Dependent Anisotropy of a Dirac Cone in a Graphene Superlattice with Alternating Periodic Electrostatic and Exchange Fields
title_sort electrical manipulation of spin dependent anisotropy of a dirac cone in a graphene superlattice with alternating periodic electrostatic and exchange fields
topic graphene
superlattice
band structure engineering
spintronics
url https://www.mdpi.com/2410-3896/8/1/28
work_keys_str_mv AT pattanasomroob electricalmanipulationofspindependentanisotropyofadiracconeinagraphenesuperlatticewithalternatingperiodicelectrostaticandexchangefields
AT watcharaliewrian electricalmanipulationofspindependentanisotropyofadiracconeinagraphenesuperlatticewithalternatingperiodicelectrostaticandexchangefields