2026-09-19T02:05:30Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/350502022-01-13T07:54:41Zcom_1721.1_7582com_1721.1_7581col_1721.1_131024
Raymond Ashoori and Gary Steele.
Spasojevic, Nemanja Ljuban
Massachusetts Institute of Technology. Dept. of Physics.
Massachusetts Institute of Technology. Department of Physics
2006-12-18T19:59:35Z
2006-12-18T19:59:35Z
2006
2006
http://hdl.handle.net/1721.1/35050
69690045
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2006.
Includes bibliographical references (leaves 47-48).
In this thesis we modelled interactions between metal probe and quantum Hall liquid. The setup geometries were similar to those met in scanning capacitance microscopy experiments carried out by Ashoori's group [1]. The main interest was to explore the 2DEG charge densities for a different system geometries, magnetic field applied, and tip voltages. We modelled quantum bubble formation under the metal probe, incompressible strip formation beneath the edge of the metal gate, and 2DEG density profile under the influence of donors in magnetic field. In order to model complex geometry systems, but also optimize running times and memory allocation we developed two electrostatic simulators one for cylindrically symmetric and second for arbitrary 3D geometries. Our electrostatic solver was based on successive over relaxation algorithm, but it was optimized for better stability and faster convergence times.
by Nemanja Ljuban Spasojevic.
S.B.
48 leaves
2401467 bytes
2401873 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Physics.
Electrostatic simulations of interactions between a scanning probe and quantum Hall liquid
Thesis
application/pdf
false
Publication
unknown
unknown
<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="ee1e331c-3b8f-43d3-a5f3-70fc26a98415">
<Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type>
<Language>eng</Language>
<Title>Electrostatic simulations of interactions between a scanning probe and quantum Hall liquid</Title>
<PublishedIn>
<Publication>
</Publication>
</PublishedIn>
<PublicationDate>2006</PublicationDate>
<Authors>
<Author>
<DisplayName>Spasojevic, Nemanja Ljuban</DisplayName>
<Affiliation>
<OrgUnit>
</OrgUnit>
</Affiliation>
</Author>
</Authors>
<Editors>
</Editors>
<Publishers>
<Publisher>
<DisplayName>Massachusetts Institute of Technology</DisplayName>
<OrgUnit />
</Publisher>
</Publishers>
<License>http://dspace.mit.edu/handle/1721.1/7582</License>
<Keyword>Physics.</Keyword>
<Abstract>In this thesis we modelled interactions between metal probe and quantum Hall liquid. The setup geometries were similar to those met in scanning capacitance microscopy experiments carried out by Ashoori's group [1]. The main interest was to explore the 2DEG charge densities for a different system geometries, magnetic field applied, and tip voltages. We modelled quantum bubble formation under the metal probe, incompressible strip formation beneath the edge of the metal gate, and 2DEG density profile under the influence of donors in magnetic field. In order to model complex geometry systems, but also optimize running times and memory allocation we developed two electrostatic simulators one for cylindrically symmetric and second for arbitrary 3D geometries. Our electrostatic solver was based on successive over relaxation algorithm, but it was optimized for better stability and faster convergence times.</Abstract>
<Access xmlns="http://purl.org/coar/access_right"
>
</Access>
</Publication>