Numerical study of electronic states in confined two dimensional disordered systems under high magnetic fields
Identifieur interne : 002209 ( Main/Exploration ); précédent : 002208; suivant : 002210Numerical study of electronic states in confined two dimensional disordered systems under high magnetic fields
Auteurs : T. Ohtsuki [Japon] ; Y. Ono [Japon]Source :
- Solid State Communications [ 0038-1098 ] ; 1988.
English descriptors
- Teeft :
- Anomalous, Anomalous edge state, Anomalous edge states, Average shift, Boundary condition, Bulk states, Cylinder geometry, Dirichlet boundary condition, Edge state, Edge states, Electronic states, Expectation value, Fermi level, Gauge parameter, Gradual transition, Hall conductivity, Hamiltonian matrix, Impurity, Impurity configuration, Localized, Localized states, Normal edge state, Normal edge states, Phys, Pure case, Quantized hall effect, Square amplitudes, Subband, System parameters, Teller model, Thermodynamic limit, Torus geometry, Wave functions.
Abstract
Abstract: The electronic states in disordered two dimensional systems with cylinder geometry under perpendicular high magnetic fields are studied numerically. The gauge parameter dependence of the eigen-states are analyzed. The expectation values of the center coordinate operator are found to satisfy a disorder-independent sum rule which may be related to the current compensation problem in the quantized Hall effect. The behavior of the edge states are also discussed. Particularly when the edge and bulk states are degenerate in the pure case, they are strongly mixed due to the impurity scattering. As a result, purely edge-like states disappear e.g. at 3ℏωc2 in contrast to the case without disorder.
Url:
DOI: 10.1016/0038-1098(88)90726-0
Affiliations:
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Ohtsuki</name><affiliation wicri:level="4"><country xml:lang="fr">Japon</country><wicri:regionArea>Department of Physic, University of Tokyo, Hongo 7-3-1, Bunkyo-Ku, Tokyo</wicri:regionArea><placeName><settlement type="city">Tokyo</settlement><region type="région">Région de Kantō</region></placeName><orgName type="university">Université de Tokyo</orgName></affiliation></author><author><name sortKey="Ono, Y" sort="Ono, Y" uniqKey="Ono Y" first="Y." last="Ono">Y. Ono</name><affiliation wicri:level="4"><country xml:lang="fr">Japon</country><wicri:regionArea>Department of Physic, University of Tokyo, Hongo 7-3-1, Bunkyo-Ku, Tokyo</wicri:regionArea><placeName><settlement type="city">Tokyo</settlement><region type="région">Région de Kantō</region></placeName><orgName type="university">Université de Tokyo</orgName></affiliation></author></analytic><monogr></monogr><series><title level="j">Solid State Communications</title><title level="j" type="abbrev">SSC</title><idno type="ISSN">0038-1098</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1988">1988</date><biblScope unit="volume">65</biblScope><biblScope unit="issue">5</biblScope><biblScope unit="page" from="403">403</biblScope><biblScope unit="page" to="407">407</biblScope></imprint><idno type="ISSN">0038-1098</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0038-1098</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Anomalous</term><term>Anomalous edge state</term><term>Anomalous edge states</term><term>Average shift</term><term>Boundary condition</term><term>Bulk states</term><term>Cylinder geometry</term><term>Dirichlet boundary condition</term><term>Edge state</term><term>Edge states</term><term>Electronic states</term><term>Expectation value</term><term>Fermi level</term><term>Gauge parameter</term><term>Gradual transition</term><term>Hall conductivity</term><term>Hamiltonian matrix</term><term>Impurity</term><term>Impurity configuration</term><term>Localized</term><term>Localized states</term><term>Normal edge state</term><term>Normal edge states</term><term>Phys</term><term>Pure case</term><term>Quantized hall effect</term><term>Square amplitudes</term><term>Subband</term><term>System parameters</term><term>Teller model</term><term>Thermodynamic limit</term><term>Torus geometry</term><term>Wave functions</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: The electronic states in disordered two dimensional systems with cylinder geometry under perpendicular high magnetic fields are studied numerically. The gauge parameter dependence of the eigen-states are analyzed. The expectation values of the center coordinate operator are found to satisfy a disorder-independent sum rule which may be related to the current compensation problem in the quantized Hall effect. The behavior of the edge states are also discussed. Particularly when the edge and bulk states are degenerate in the pure case, they are strongly mixed due to the impurity scattering. As a result, purely edge-like states disappear e.g. at 3ℏωc2 in contrast to the case without disorder.</div></front></TEI><affiliations><list><country><li>Japon</li></country><region><li>Région de Kantō</li></region><settlement><li>Tokyo</li></settlement><orgName><li>Université de Tokyo</li></orgName></list><tree><country name="Japon"><region name="Région de Kantō"><name sortKey="Ohtsuki, T" sort="Ohtsuki, T" uniqKey="Ohtsuki T" first="T." last="Ohtsuki">T. Ohtsuki</name></region><name sortKey="Ono, Y" sort="Ono, Y" uniqKey="Ono Y" first="Y." last="Ono">Y. Ono</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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