Analytic solutions for displacements in quantum-wire structures

Quantum wires (QWs) and quantum dots (QDs) have been widely applied in semiconductor devices due to their excellent mechanical, electronic, and optical properties. Faux and Downes [J. Appl. Phys. 82 (1997) 3754–3762] have obtained the closed-form solutions for strain distributions produced by QWs, w...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of applied physics 2023-05, Vol.133 (17)
Hauptverfasser: Tang, Tiezheng, Jiang, Zhizhen, Zhu, Kai, Liu, Kuanyu, Bai, Wei, Li, Pu, Jin, Xiaoqing
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 17
container_start_page
container_title Journal of applied physics
container_volume 133
creator Tang, Tiezheng
Jiang, Zhizhen
Zhu, Kai
Liu, Kuanyu
Bai, Wei
Li, Pu
Jin, Xiaoqing
description Quantum wires (QWs) and quantum dots (QDs) have been widely applied in semiconductor devices due to their excellent mechanical, electronic, and optical properties. Faux and Downes [J. Appl. Phys. 82 (1997) 3754–3762] have obtained the closed-form solutions for strain distributions produced by QWs, whose cross section is composed of any combination of line elements and circular arcs. In this paper, Eshelby's inclusion model is established to simulate QWs and the closed-form solutions for the resultant displacements are obtained. By employing the method of Green's function, the displacement solutions may be formulated as area integrals and then converted into contour integrals along the boundary of the QW. The present study complements Faux and Downes' work and provides an efficient shortcut for analyzing the displacements of a QW, whose boundary may be discretized into line segments and circular arcs.
doi_str_mv 10.1063/5.0134197
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1063_5_0134197</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2808412894</sourcerecordid><originalsourceid>FETCH-LOGICAL-c362t-96fd6f931215c24327322a9124584afa6eb7d58770a54c5cb9e9b8fcd85de7d13</originalsourceid><addsrcrecordid>eNqd0EtLAzEUBeAgCtbqwn8w4Ephap6TZCWl-IKCG12HNA9ImU6meSj997a04N7V2Xwc7j0A3CI4Q7Ajj2wGEaFI8jMwQVDIljMGz8EEQoxaIbm8BFc5ryFESBA5AU_zQfe7EkyTY19LiENufEyNDXnstXEbN5TchKHZVj2Uuml_QnJNLqmaUpPL1-DC6z67m1NOwdfL8-firV1-vL4v5svWkA6XVnbedl4ShBEzmBLMCcZaIkyZoNrrzq24ZYJzqBk1zKykkyvhjRXMOm4RmYK7Y--Y4ra6XNQ61rS_PSssoKAIC0n36v6oTIo5J-fVmMJGp51CUB32UUyd9tnbh6PNJhR9-Px_-DumP6hG68kvHTRzlw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2808412894</pqid></control><display><type>article</type><title>Analytic solutions for displacements in quantum-wire structures</title><source>AIP Journals Complete</source><source>Alma/SFX Local Collection</source><creator>Tang, Tiezheng ; Jiang, Zhizhen ; Zhu, Kai ; Liu, Kuanyu ; Bai, Wei ; Li, Pu ; Jin, Xiaoqing</creator><creatorcontrib>Tang, Tiezheng ; Jiang, Zhizhen ; Zhu, Kai ; Liu, Kuanyu ; Bai, Wei ; Li, Pu ; Jin, Xiaoqing</creatorcontrib><description>Quantum wires (QWs) and quantum dots (QDs) have been widely applied in semiconductor devices due to their excellent mechanical, electronic, and optical properties. Faux and Downes [J. Appl. Phys. 82 (1997) 3754–3762] have obtained the closed-form solutions for strain distributions produced by QWs, whose cross section is composed of any combination of line elements and circular arcs. In this paper, Eshelby's inclusion model is established to simulate QWs and the closed-form solutions for the resultant displacements are obtained. By employing the method of Green's function, the displacement solutions may be formulated as area integrals and then converted into contour integrals along the boundary of the QW. The present study complements Faux and Downes' work and provides an efficient shortcut for analyzing the displacements of a QW, whose boundary may be discretized into line segments and circular arcs.</description><identifier>ISSN: 0021-8979</identifier><identifier>EISSN: 1089-7550</identifier><identifier>DOI: 10.1063/5.0134197</identifier><identifier>CODEN: JAPIAU</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Applied physics ; Closed form solutions ; Displacement ; Exact solutions ; Green's functions ; Integrals ; Optical properties ; Quantum dots ; Quantum wires ; Semiconductor devices</subject><ispartof>Journal of applied physics, 2023-05, Vol.133 (17)</ispartof><rights>Author(s)</rights><rights>2023 Author(s). Published under an exclusive license by AIP Publishing.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c362t-96fd6f931215c24327322a9124584afa6eb7d58770a54c5cb9e9b8fcd85de7d13</citedby><cites>FETCH-LOGICAL-c362t-96fd6f931215c24327322a9124584afa6eb7d58770a54c5cb9e9b8fcd85de7d13</cites><orcidid>0000-0002-8836-3505 ; 0000-0003-4517-6037 ; 0000-0002-0738-6132 ; 0000-0002-4671-5437 ; 0000-0001-6106-1112</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jap/article-lookup/doi/10.1063/5.0134197$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,776,780,790,4498,27901,27902,76353</link.rule.ids></links><search><creatorcontrib>Tang, Tiezheng</creatorcontrib><creatorcontrib>Jiang, Zhizhen</creatorcontrib><creatorcontrib>Zhu, Kai</creatorcontrib><creatorcontrib>Liu, Kuanyu</creatorcontrib><creatorcontrib>Bai, Wei</creatorcontrib><creatorcontrib>Li, Pu</creatorcontrib><creatorcontrib>Jin, Xiaoqing</creatorcontrib><title>Analytic solutions for displacements in quantum-wire structures</title><title>Journal of applied physics</title><description>Quantum wires (QWs) and quantum dots (QDs) have been widely applied in semiconductor devices due to their excellent mechanical, electronic, and optical properties. Faux and Downes [J. Appl. Phys. 82 (1997) 3754–3762] have obtained the closed-form solutions for strain distributions produced by QWs, whose cross section is composed of any combination of line elements and circular arcs. In this paper, Eshelby's inclusion model is established to simulate QWs and the closed-form solutions for the resultant displacements are obtained. By employing the method of Green's function, the displacement solutions may be formulated as area integrals and then converted into contour integrals along the boundary of the QW. The present study complements Faux and Downes' work and provides an efficient shortcut for analyzing the displacements of a QW, whose boundary may be discretized into line segments and circular arcs.</description><subject>Applied physics</subject><subject>Closed form solutions</subject><subject>Displacement</subject><subject>Exact solutions</subject><subject>Green's functions</subject><subject>Integrals</subject><subject>Optical properties</subject><subject>Quantum dots</subject><subject>Quantum wires</subject><subject>Semiconductor devices</subject><issn>0021-8979</issn><issn>1089-7550</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNqd0EtLAzEUBeAgCtbqwn8w4Ephap6TZCWl-IKCG12HNA9ImU6meSj997a04N7V2Xwc7j0A3CI4Q7Ajj2wGEaFI8jMwQVDIljMGz8EEQoxaIbm8BFc5ryFESBA5AU_zQfe7EkyTY19LiENufEyNDXnstXEbN5TchKHZVj2Uuml_QnJNLqmaUpPL1-DC6z67m1NOwdfL8-firV1-vL4v5svWkA6XVnbedl4ShBEzmBLMCcZaIkyZoNrrzq24ZYJzqBk1zKykkyvhjRXMOm4RmYK7Y--Y4ra6XNQ61rS_PSssoKAIC0n36v6oTIo5J-fVmMJGp51CUB32UUyd9tnbh6PNJhR9-Px_-DumP6hG68kvHTRzlw</recordid><startdate>20230507</startdate><enddate>20230507</enddate><creator>Tang, Tiezheng</creator><creator>Jiang, Zhizhen</creator><creator>Zhu, Kai</creator><creator>Liu, Kuanyu</creator><creator>Bai, Wei</creator><creator>Li, Pu</creator><creator>Jin, Xiaoqing</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-8836-3505</orcidid><orcidid>https://orcid.org/0000-0003-4517-6037</orcidid><orcidid>https://orcid.org/0000-0002-0738-6132</orcidid><orcidid>https://orcid.org/0000-0002-4671-5437</orcidid><orcidid>https://orcid.org/0000-0001-6106-1112</orcidid></search><sort><creationdate>20230507</creationdate><title>Analytic solutions for displacements in quantum-wire structures</title><author>Tang, Tiezheng ; Jiang, Zhizhen ; Zhu, Kai ; Liu, Kuanyu ; Bai, Wei ; Li, Pu ; Jin, Xiaoqing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c362t-96fd6f931215c24327322a9124584afa6eb7d58770a54c5cb9e9b8fcd85de7d13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Applied physics</topic><topic>Closed form solutions</topic><topic>Displacement</topic><topic>Exact solutions</topic><topic>Green's functions</topic><topic>Integrals</topic><topic>Optical properties</topic><topic>Quantum dots</topic><topic>Quantum wires</topic><topic>Semiconductor devices</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tang, Tiezheng</creatorcontrib><creatorcontrib>Jiang, Zhizhen</creatorcontrib><creatorcontrib>Zhu, Kai</creatorcontrib><creatorcontrib>Liu, Kuanyu</creatorcontrib><creatorcontrib>Bai, Wei</creatorcontrib><creatorcontrib>Li, Pu</creatorcontrib><creatorcontrib>Jin, Xiaoqing</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of applied physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tang, Tiezheng</au><au>Jiang, Zhizhen</au><au>Zhu, Kai</au><au>Liu, Kuanyu</au><au>Bai, Wei</au><au>Li, Pu</au><au>Jin, Xiaoqing</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytic solutions for displacements in quantum-wire structures</atitle><jtitle>Journal of applied physics</jtitle><date>2023-05-07</date><risdate>2023</risdate><volume>133</volume><issue>17</issue><issn>0021-8979</issn><eissn>1089-7550</eissn><coden>JAPIAU</coden><abstract>Quantum wires (QWs) and quantum dots (QDs) have been widely applied in semiconductor devices due to their excellent mechanical, electronic, and optical properties. Faux and Downes [J. Appl. Phys. 82 (1997) 3754–3762] have obtained the closed-form solutions for strain distributions produced by QWs, whose cross section is composed of any combination of line elements and circular arcs. In this paper, Eshelby's inclusion model is established to simulate QWs and the closed-form solutions for the resultant displacements are obtained. By employing the method of Green's function, the displacement solutions may be formulated as area integrals and then converted into contour integrals along the boundary of the QW. The present study complements Faux and Downes' work and provides an efficient shortcut for analyzing the displacements of a QW, whose boundary may be discretized into line segments and circular arcs.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0134197</doi><tpages>8</tpages><orcidid>https://orcid.org/0000-0002-8836-3505</orcidid><orcidid>https://orcid.org/0000-0003-4517-6037</orcidid><orcidid>https://orcid.org/0000-0002-0738-6132</orcidid><orcidid>https://orcid.org/0000-0002-4671-5437</orcidid><orcidid>https://orcid.org/0000-0001-6106-1112</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0021-8979
ispartof Journal of applied physics, 2023-05, Vol.133 (17)
issn 0021-8979
1089-7550
language eng
recordid cdi_crossref_primary_10_1063_5_0134197
source AIP Journals Complete; Alma/SFX Local Collection
subjects Applied physics
Closed form solutions
Displacement
Exact solutions
Green's functions
Integrals
Optical properties
Quantum dots
Quantum wires
Semiconductor devices
title Analytic solutions for displacements in quantum-wire structures
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-18T04%3A48%3A47IST&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=Analytic%20solutions%20for%20displacements%20in%20quantum-wire%20structures&rft.jtitle=Journal%20of%20applied%20physics&rft.au=Tang,%20Tiezheng&rft.date=2023-05-07&rft.volume=133&rft.issue=17&rft.issn=0021-8979&rft.eissn=1089-7550&rft.coden=JAPIAU&rft_id=info:doi/10.1063/5.0134197&rft_dat=%3Cproquest_cross%3E2808412894%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2808412894&rft_id=info:pmid/&rfr_iscdi=true