UWSpace will be migrating to a new version of its software from July 29th to August 1st. UWSpace will be offline for all UW community members during this time.

Show simple item record

dc.contributor.authorPreciado Rivas, María Rosa
dc.date.accessioned2022-09-22 16:42:07 (GMT)
dc.date.available2022-09-22 16:42:07 (GMT)
dc.date.issued2022-09-22
dc.date.submitted2022-09-15
dc.identifier.urihttp://hdl.handle.net/10012/18779
dc.description.abstractA charged particle, moving at a certain distance and parallel to a target, experiences a stopping force that slows it down and an image force that deflects it towards the target's surface. In this work, we aimed to describe the forces acting on a point charge when the target is a system composed of a two-dimensional (2D) material and a semi-infinite substrate. To do so, we used an analytical model of the conductivity of the 2D material, which combines contributions coming from intra- and interband electronic transitions, paired with a simple dielectric function for the substrate in the terahertz and mid-infrared range of frequencies. We obtained an expression for the image force in terms of the energy loss function of the system using a Kramers-Kronig relation for the case of an isotropic material, illustrated using doped graphene supported with silicon carbide. This result implies that the image and stopping forces can be analyzed on an equal footing in the frequency-momentum domain. Additionally, we separated the forces into components that stem from individual plasmon-phonon hybrid modes. On the other hand, a transverse stopping force arose in the case of an anisotropic material. We found that this force, parallel to the target's surface and perpendicular to the particle's trajectory, has a magnitude comparable to the longitudinal stopping force, meaning that it should be measurable experimentally. Using doped phosphorene supported with silicon dioxide, we obtained that all forces showed speed-dependent anisotropy when the direction of motion is varied with respect to the principal axes of the 2D material's conductivity. Finally, we found that the image force became repulsive when the incident charge moves along the armchair direction of free-standing phosphorene. This implausible result stemmed from an insufficiency in the model used but is eliminated in the presence of the substrate.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.subjectgrapheneen
dc.subjectphosphoreneen
dc.subjectimage forceen
dc.subjectstopping forceen
dc.subjectdielectric propertiesen
dc.subjectplasmonsen
dc.subjectphononsen
dc.subjectelectrical conductivityen
dc.titleTheoretical Description of the Forces on a Point Charge Moving Parallel to a Supported Two-dimensional Materialen
dc.typeMaster Thesisen
dc.pendingfalse
uws-etd.degree.departmentApplied Mathematicsen
uws-etd.degree.disciplineApplied Mathematicsen
uws-etd.degree.grantorUniversity of Waterlooen
uws-etd.degreeMaster of Mathematicsen
uws-etd.embargo.terms0en
uws.contributor.advisorMišković, Zoran
uws.contributor.affiliation1Faculty of Mathematicsen
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record


UWSpace

University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages