Dependence of energy gap on magnetic field in semiconductor nano-scale quantum rings

We study the electron and hole energy states for a complete three-dimensional (3D) model of semiconductor nano-scale quantum rings in an external magnetic field. In this study, the model formulation includes: (i) the position dependent effective mass Hamiltonian in non-parabolic approximation for el...

Full description

Saved in:
Bibliographic Details
Published in:Surface science 2003-06, Vol.532, p.811-815
Main Authors: Li, Yiming, Lu, Hsiao-Mei, Voskoboynikov, O., Lee, C.P., Sze, S.M.
Format: Article
Language:English
Subjects:
Computer simulations
Gallium arsenide
Heterojunctions
Indium arsenide
Magnetic phenomena (cyclotron resonance, phase transitions, etc.)
Quantum effects
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c338t-3870f42cada20d7c3edd1a862f974bedb38e7344cd97e2101ede78af0683b47d3
cites cdi_FETCH-LOGICAL-c338t-3870f42cada20d7c3edd1a862f974bedb38e7344cd97e2101ede78af0683b47d3
container_end_page 815
container_issue
container_start_page 811
container_title Surface science
container_volume 532
creator Li, Yiming
Lu, Hsiao-Mei
Voskoboynikov, O.
Lee, C.P.
Sze, S.M.
description We study the electron and hole energy states for a complete three-dimensional (3D) model of semiconductor nano-scale quantum rings in an external magnetic field. In this study, the model formulation includes: (i) the position dependent effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the position dependent effective mass Hamiltonian in parabolic approximation for holes, (iii) the finite hard wall confinement potential, and (iv) the Ben Daniel–Duke boundary conditions. To solve this 3D non-linear problem, we apply the non-linear iterative method to obtain self-consistent solutions. We find a non-periodical oscillation of the energy band gap between the lowest electron and hole states as a function of external magnetic fields. The result is useful in describing magneto-optical properties of the nano-scale quantum rings.
doi_str_mv 10.1016/S0039-6028(03)00171-7
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_27835752</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0039602803001717</els_id><sourcerecordid>27835752</sourcerecordid><originalsourceid>FETCH-LOGICAL-c338t-3870f42cada20d7c3edd1a862f974bedb38e7344cd97e2101ede78af0683b47d3</originalsourceid><addsrcrecordid>eNqFkEtLxDAUhYMoOI7-BCEr0UU1j7ZJVyLjEwZcOK5DJrktkTbpJK0w_97OjLj1bu7mOwfOh9AlJbeU0PLugxBeZSVh8prwG0KooJk4QjMqRZUxUchjNPtDTtFZSl9kurwqZmj1CD14C94ADjUGD7HZ4kb3OHjc6cbD4AyuHbQWO48TdM4Eb0czhIi99iFLRreAN6P2w9jh6HyTztFJrdsEF79_jj6fn1aL12z5_vK2eFhmhnM5ZFwKUufMaKsZscJwsJZqWbK6Evka7JpLEDzPja0EsGkqWBBS16SUfJ0Ly-fo6tDbx7AZIQ2qc8lA22oPYUyKCckLUbAJLA6giSGlCLXqo-t03CpK1M6h2jtUO0GKcLV3qMSUuz_kYFrx7SCqZNzOlXURzKBscP80_AAIf3nZ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>27835752</pqid></control><display><type>article</type><title>Dependence of energy gap on magnetic field in semiconductor nano-scale quantum rings</title><source>ScienceDirect Freedom Collection</source><creator>Li, Yiming ; Lu, Hsiao-Mei ; Voskoboynikov, O. ; Lee, C.P. ; Sze, S.M.</creator><creatorcontrib>Li, Yiming ; Lu, Hsiao-Mei ; Voskoboynikov, O. ; Lee, C.P. ; Sze, S.M.</creatorcontrib><description>We study the electron and hole energy states for a complete three-dimensional (3D) model of semiconductor nano-scale quantum rings in an external magnetic field. In this study, the model formulation includes: (i) the position dependent effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the position dependent effective mass Hamiltonian in parabolic approximation for holes, (iii) the finite hard wall confinement potential, and (iv) the Ben Daniel–Duke boundary conditions. To solve this 3D non-linear problem, we apply the non-linear iterative method to obtain self-consistent solutions. We find a non-periodical oscillation of the energy band gap between the lowest electron and hole states as a function of external magnetic fields. The result is useful in describing magneto-optical properties of the nano-scale quantum rings.</description><identifier>ISSN: 0039-6028</identifier><identifier>EISSN: 1879-2758</identifier><identifier>DOI: 10.1016/S0039-6028(03)00171-7</identifier><language>eng</language><publisher>Elsevier B.V</publisher><subject>Computer simulations ; Gallium arsenide ; Heterojunctions ; Indium arsenide ; Magnetic phenomena (cyclotron resonance, phase transitions, etc.) ; Quantum effects</subject><ispartof>Surface science, 2003-06, Vol.532, p.811-815</ispartof><rights>2003 Elsevier Science B.V.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c338t-3870f42cada20d7c3edd1a862f974bedb38e7344cd97e2101ede78af0683b47d3</citedby><cites>FETCH-LOGICAL-c338t-3870f42cada20d7c3edd1a862f974bedb38e7344cd97e2101ede78af0683b47d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,786,790,27957,27958</link.rule.ids></links><search><creatorcontrib>Li, Yiming</creatorcontrib><creatorcontrib>Lu, Hsiao-Mei</creatorcontrib><creatorcontrib>Voskoboynikov, O.</creatorcontrib><creatorcontrib>Lee, C.P.</creatorcontrib><creatorcontrib>Sze, S.M.</creatorcontrib><title>Dependence of energy gap on magnetic field in semiconductor nano-scale quantum rings</title><title>Surface science</title><description>We study the electron and hole energy states for a complete three-dimensional (3D) model of semiconductor nano-scale quantum rings in an external magnetic field. In this study, the model formulation includes: (i) the position dependent effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the position dependent effective mass Hamiltonian in parabolic approximation for holes, (iii) the finite hard wall confinement potential, and (iv) the Ben Daniel–Duke boundary conditions. To solve this 3D non-linear problem, we apply the non-linear iterative method to obtain self-consistent solutions. We find a non-periodical oscillation of the energy band gap between the lowest electron and hole states as a function of external magnetic fields. The result is useful in describing magneto-optical properties of the nano-scale quantum rings.</description><subject>Computer simulations</subject><subject>Gallium arsenide</subject><subject>Heterojunctions</subject><subject>Indium arsenide</subject><subject>Magnetic phenomena (cyclotron resonance, phase transitions, etc.)</subject><subject>Quantum effects</subject><issn>0039-6028</issn><issn>1879-2758</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLxDAUhYMoOI7-BCEr0UU1j7ZJVyLjEwZcOK5DJrktkTbpJK0w_97OjLj1bu7mOwfOh9AlJbeU0PLugxBeZSVh8prwG0KooJk4QjMqRZUxUchjNPtDTtFZSl9kurwqZmj1CD14C94ADjUGD7HZ4kb3OHjc6cbD4AyuHbQWO48TdM4Eb0czhIi99iFLRreAN6P2w9jh6HyTztFJrdsEF79_jj6fn1aL12z5_vK2eFhmhnM5ZFwKUufMaKsZscJwsJZqWbK6Evka7JpLEDzPja0EsGkqWBBS16SUfJ0Ly-fo6tDbx7AZIQ2qc8lA22oPYUyKCckLUbAJLA6giSGlCLXqo-t03CpK1M6h2jtUO0GKcLV3qMSUuz_kYFrx7SCqZNzOlXURzKBscP80_AAIf3nZ</recordid><startdate>20030610</startdate><enddate>20030610</enddate><creator>Li, Yiming</creator><creator>Lu, Hsiao-Mei</creator><creator>Voskoboynikov, O.</creator><creator>Lee, C.P.</creator><creator>Sze, S.M.</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20030610</creationdate><title>Dependence of energy gap on magnetic field in semiconductor nano-scale quantum rings</title><author>Li, Yiming ; Lu, Hsiao-Mei ; Voskoboynikov, O. ; Lee, C.P. ; Sze, S.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c338t-3870f42cada20d7c3edd1a862f974bedb38e7344cd97e2101ede78af0683b47d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Computer simulations</topic><topic>Gallium arsenide</topic><topic>Heterojunctions</topic><topic>Indium arsenide</topic><topic>Magnetic phenomena (cyclotron resonance, phase transitions, etc.)</topic><topic>Quantum effects</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Yiming</creatorcontrib><creatorcontrib>Lu, Hsiao-Mei</creatorcontrib><creatorcontrib>Voskoboynikov, O.</creatorcontrib><creatorcontrib>Lee, C.P.</creatorcontrib><creatorcontrib>Sze, S.M.</creatorcontrib><collection>CrossRef</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Surface science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Yiming</au><au>Lu, Hsiao-Mei</au><au>Voskoboynikov, O.</au><au>Lee, C.P.</au><au>Sze, S.M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dependence of energy gap on magnetic field in semiconductor nano-scale quantum rings</atitle><jtitle>Surface science</jtitle><date>2003-06-10</date><risdate>2003</risdate><volume>532</volume><spage>811</spage><epage>815</epage><pages>811-815</pages><issn>0039-6028</issn><eissn>1879-2758</eissn><notes>SourceType-Scholarly Journals-2</notes><notes>ObjectType-Feature-2</notes><notes>ObjectType-Conference Paper-1</notes><notes>content type line 23</notes><notes>SourceType-Conference Papers &amp; Proceedings-1</notes><notes>ObjectType-Article-3</notes><abstract>We study the electron and hole energy states for a complete three-dimensional (3D) model of semiconductor nano-scale quantum rings in an external magnetic field. In this study, the model formulation includes: (i) the position dependent effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the position dependent effective mass Hamiltonian in parabolic approximation for holes, (iii) the finite hard wall confinement potential, and (iv) the Ben Daniel–Duke boundary conditions. To solve this 3D non-linear problem, we apply the non-linear iterative method to obtain self-consistent solutions. We find a non-periodical oscillation of the energy band gap between the lowest electron and hole states as a function of external magnetic fields. The result is useful in describing magneto-optical properties of the nano-scale quantum rings.</abstract><pub>Elsevier B.V</pub><doi>10.1016/S0039-6028(03)00171-7</doi><tpages>5</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0039-6028
ispartof Surface science, 2003-06, Vol.532, p.811-815
issn 0039-6028
1879-2758
language eng
recordid cdi_proquest_miscellaneous_27835752
source ScienceDirect Freedom Collection
subjects Computer simulations
Gallium arsenide
Heterojunctions
Indium arsenide
Magnetic phenomena (cyclotron resonance, phase transitions, etc.)
Quantum effects
title Dependence of energy gap on magnetic field in semiconductor nano-scale quantum rings
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-09-22T05%3A41%3A28IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Dependence%20of%20energy%20gap%20on%20magnetic%20field%20in%20semiconductor%20nano-scale%20quantum%20rings&rft.jtitle=Surface%20science&rft.au=Li,%20Yiming&rft.date=2003-06-10&rft.volume=532&rft.spage=811&rft.epage=815&rft.pages=811-815&rft.issn=0039-6028&rft.eissn=1879-2758&rft_id=info:doi/10.1016/S0039-6028(03)00171-7&rft_dat=%3Cproquest_cross%3E27835752%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c338t-3870f42cada20d7c3edd1a862f974bedb38e7344cd97e2101ede78af0683b47d3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=27835752&rft_id=info:pmid/&rfr_iscdi=true