{"id":1130,"date":"2014-09-16T12:30:07","date_gmt":"2014-09-16T12:30:07","guid":{"rendered":"http:\/\/blogs.uakron.edu\/ernianpan\/?page_id=1130"},"modified":"2014-09-16T13:20:06","modified_gmt":"2014-09-16T13:20:06","slug":"pan_re_1nano","status":"publish","type":"page","link":"https:\/\/blogs.uakron.edu\/ernianpan\/pan_re_1nano\/","title":{"rendered":"Mechanics of nanostructures and semiconductor quantum heterostructures."},"content":{"rendered":"

(1) QD induced strain field<\/strong><\/p>\n

\"image002\"<\/p>\n

Figure 1. Contours of hydrostatic strain gkk (10-3) on the traction-free and isolating surface of a substrate due to a point QD at a depth h=10nm below the surface. Isotropic GaAs substrate in (a), substrate GaAs (001) in (b), and substrate GaAs (111) in (c) (See Pan, E. (2002): Elastic and piezoelectric fields in substrates GaAs (001) and GaAs (111) due to a buried quantum dot. Journal of Applied Physics 91: 6379-6387.)<\/em><\/p>\n

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\"image004\"<\/p>\n

Figure 2. Piezoelectric potential in the (-110) plane induced by (a) spherical, (b) cubic, and (c) pyramidal dots containing the same volume of InAs in GaAs. The potential goes from 0 (white) to \u00b1+\u00020+\u00020+\u000200.16V (positive in red and negative in blue). (Courtesy of Davies, 1998).<\/em><\/p>\n

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\"image006\"<\/p>\n

Figure 3. Contouof horizontal electric field Ex (X107 V\/m) on thfree surface of substrate AlN (1000) in (a) and AlN (0001) in (b) due to a QD at a depth h=10nm. (See Pan, E. and Yang, B. (2003): Elastic and piezoelectric fields in a substrate AlN due to a buried quantum dot. Journal of Applied Physics 93: 2435-2439.)<\/em><\/p>\n

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(2) Full- vs. Semi-Coupled Model<\/strong> (See Pan, E. (2002): Elastic and piezoelectric fields around a quantum dot: Fully coupled or semi-coupled model.Journal of Applied Physics 91: 3785-3796.)<\/p>\n

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I. Elastic Strain Field<\/strong><\/p>\n

\"1\"<\/p>\n

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II. Electric Field<\/strong><\/p>\n

\"2\"<\/p>\n

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(3) Piezoelectric Potential in GaAs<\/strong> (001) and (111) (See Pan, E. (2002): Elastic and piezoelectric fields in substrates GaAs (001) andGaAs (111) due to a buried quantum dot. Journal of Applied Physics 91: 6379-6387.)<\/p>\n

\"3\"<\/p>\n

Contours of vertical electric field on the surface of isotropic crystal 001 Contours of the electric potentialon the surface of GaAs (111) due to a point quantum dot of volume va applied at distance h=10 nm.due to a point quantum dot of volume va applied at distance h=10 nm.<\/em><\/p>\n

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(4) Vertical Electric Field in GaAs<\/strong> (See Pan, E. (2002): Elastic and piezoelectric fields in substrates GaAs (001) and GaAs (111) due to a buried quantum dot. Journal of Applied Physics 91: 6379-6387.)<\/p>\n

\"4\"<\/p>\n

Contours of vertical electric field on the surface of GaAs 001 Contours of vertical electric field Ez on the surface of GaAs 111 due to a point quantum dot of volume va applied at distance h=10 nm. due to a point quantum dot of volume va applied at distance h=10 nm.<\/em><\/p>\n

 <\/p>\n

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(4) Elastic and Electric fields induced by QWR<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

(1) QD induced strain field Figure 1. Contours of hydrostatic strain gkk (10-3) on the traction-free and isolating surface of a substrate due to a point QD at a depth h=10nm below the surface. Isotropic GaAs substrate in (a), substrate… <\/p>\n","protected":false},"author":1994,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-1130","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/pages\/1130","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/users\/1994"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/comments?post=1130"}],"version-history":[{"count":16,"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/pages\/1130\/revisions"}],"predecessor-version":[{"id":1246,"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/pages\/1130\/revisions\/1246"}],"wp:attachment":[{"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/media?parent=1130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}