{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T12:54:52Z","timestamp":1774875292073,"version":"3.50.1"},"reference-count":31,"publisher":"AIP Publishing","issue":"10","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2010,9,14]]},"abstract":"<jats:p>We present a theoretical description of the first-order scattering of interacting electrons and holes in a double quantum dot. Assuming infinitely high walls, strong confinement, and a two-band approximation, we derive general expressions for the two-particle matrix elements of the screened Coulomb potential. We also determine the selection rules for different scattering channels and consider special cases where the corresponding matrix elements can be represented by simple analytical expressions. Numerical calculations of the matrix elements and an analysis of their dependence on the geometrical and material parameters of the double quantum dot have also been performed.<\/jats:p>","DOI":"10.1063\/1.3477766","type":"journal-article","created":{"date-parts":[[2010,9,10]],"date-time":"2010-09-10T22:49:14Z","timestamp":1284158954000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":13,"title":["Electron-electron scattering in a double quantum dot: Effective mass approach"],"prefix":"10.1063","volume":"133","author":[{"given":"S. Yu.","family":"Kruchinin","sequence":"first","affiliation":[{"name":"Saint-Petersburg State University of Information Technologies, Mechanics and Optics 1 , 49 Kronverksky Avenue, 197101 St. Petersburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. V.","family":"Fedorov","sequence":"additional","affiliation":[{"name":"Saint-Petersburg State University of Information Technologies, Mechanics and Optics 1 , 49 Kronverksky Avenue, 197101 St. Petersburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. V.","family":"Baranov","sequence":"additional","affiliation":[{"name":"Saint-Petersburg State University of Information Technologies, Mechanics and Optics 1 , 49 Kronverksky Avenue, 197101 St. Petersburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T. S.","family":"Perova","sequence":"additional","affiliation":[{"name":"University of Dublin 2 Department of Electronic and Electrical Engineering, Trinity College, , Dublin 2, Ireland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Berwick","sequence":"additional","affiliation":[{"name":"Dublin Institute of Technology 3 Department of Electronic and Communications Engineering, , Dublin 8, Ireland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"317","published-online":{"date-parts":[[2010,9,10]]},"reference":[{"key":"2023070319235982200_c1","doi-asserted-by":"publisher","volume-title":"Optical Properties of Semiconductor Nanocrystals","year":"1998","DOI":"10.1017\/CBO9780511524141"},{"key":"2023070319235982200_c2","doi-asserted-by":"publisher","first-page":"195311","DOI":"10.1103\/PhysRevB.75.195311","volume":"75","year":"2007","journal-title":"Phys. Rev. B"},{"key":"2023070319235982200_c3","doi-asserted-by":"publisher","first-page":"184504","DOI":"10.1063\/1.3131168","volume":"130","year":"2009","journal-title":"J. Chem. Phys."},{"key":"2023070319235982200_c4","doi-asserted-by":"publisher","first-page":"184710","DOI":"10.1063\/1.2913247","volume":"128","year":"2008","journal-title":"J. Chem. Phys."},{"key":"2023070319235982200_c5","doi-asserted-by":"publisher","first-page":"13336","DOI":"10.1021\/jp805682m","volume":"112","year":"2008","journal-title":"J. Phys. Chem. C"},{"key":"2023070319235982200_c6","doi-asserted-by":"publisher","first-page":"125311","DOI":"10.1103\/PhysRevB.78.125311","volume":"78","year":"2008","journal-title":"Phys. Rev. B"},{"key":"2023070319235982200_c7","doi-asserted-by":"publisher","first-page":"8633","DOI":"10.1103\/PhysRevB.54.8633","volume":"54","year":"1996","journal-title":"Phys. Rev. B"},{"key":"2023070319235982200_c8","doi-asserted-by":"publisher","first-page":"033121","DOI":"10.1063\/1.2226980","volume":"89","year":"2006","journal-title":"Appl. Phys. Lett."},{"key":"2023070319235982200_c9","doi-asserted-by":"publisher","first-page":"042101","DOI":"10.1063\/1.2945289","volume":"93","year":"2008","journal-title":"Appl. Phys. Lett."},{"key":"2023070319235982200_c10","doi-asserted-by":"publisher","first-page":"125331","DOI":"10.1103\/PhysRevB.72.125331","volume":"72","year":"2005","journal-title":"Phys. Rev. B"},{"key":"2023070319235982200_c11","doi-asserted-by":"publisher","first-page":"245303","DOI":"10.1103\/PhysRevB.81.245303","volume":"81","year":"2010","journal-title":"Phys. Rev. B"},{"key":"2023070319235982200_c12","volume-title":"Electronic Excitation Energy Transfer in Condensed Matter","year":"1982"},{"key":"2023070319235982200_c13","doi-asserted-by":"publisher","first-page":"045334","DOI":"10.1103\/PhysRevB.71.045334","volume":"71","year":"2005","journal-title":"Phys. Rev. B"},{"key":"2023070319235982200_c14","volume-title":"Quantum Theory of Many-Particle Systems","year":"1971"},{"key":"2023070319235982200_c15","volume-title":"Quantum Field Theory of Solids: An Introduction","year":"1983"},{"key":"2023070319235982200_c16","doi-asserted-by":"publisher","first-page":"915","DOI":"10.1103\/PhysRevLett.78.915","volume":"78","year":"1997","journal-title":"Phys. Rev. Lett."},{"key":"2023070319235982200_c17","volume-title":"Theory of Electric Polarization","year":"1973","edition":"2nd ed."},{"key":"2023070319235982200_c18","volume-title":"Semiconductor Quantum Dots","year":"1993"},{"key":"2023070319235982200_c19","volume-title":"Superlattices and Other Heterostructures","year":"1997"},{"key":"2023070319235982200_c20","first-page":"772","volume":"16","author":"Efros","year":"1982","journal-title":"Sov. Phys. Semicond."},{"key":"2023070319235982200_c21","doi-asserted-by":"crossref","DOI":"10.1142\/0270","volume-title":"Quantum Theory of Angular Momentum","author":"Varshalovich","year":"1988"},{"key":"2023070319235982200_c22","volume-title":"Special Functions","year":"1990"},{"key":"2023070319235982200_c23","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1103\/PhysRevB.26.917","volume":"26","year":"1982","journal-title":"Phys. Rev. B"},{"key":"2023070319235982200_c24","volume-title":"Nonradiative Recombination in Semiconductors","year":"1991"},{"key":"2023070319235982200_c25","doi-asserted-by":"publisher","first-page":"4681","DOI":"10.1063\/1.359815","volume":"78","year":"1995","journal-title":"J. Appl. Phys."},{"key":"2023070319235982200_c26","doi-asserted-by":"publisher","first-page":"16338","DOI":"10.1103\/PhysRevB.53.16338","volume":"53","year":"1996","journal-title":"Phys. Rev. B"},{"key":"2023070319235982200_c27","volume-title":"Semiconductors: Data Handbook","year":"2004","edition":"3rd ed."},{"key":"2023070319235982200_c28","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1063\/1.97205","volume":"49","year":"1986","journal-title":"Appl. Phys. Lett."},{"key":"2023070319235982200_c29","volume-title":"Many-Particle Physics","year":"1990","edition":"2nd ed."},{"key":"2023070319235982200_c30","doi-asserted-by":"publisher","first-page":"3469","DOI":"10.1021\/nl072046x","volume":"7","year":"2007","journal-title":"Nano Lett."},{"key":"2023070319235982200_c31","volume-title":"Classical Electrodynamics","year":"1998"}],"container-title":["The Journal of Chemical Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/aip\/jcp\/article-pdf\/doi\/10.1063\/1.3477766\/15430840\/104704_1_online.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/aip\/jcp\/article-pdf\/doi\/10.1063\/1.3477766\/15430840\/104704_1_online.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,3]],"date-time":"2023-07-03T23:09:08Z","timestamp":1688425748000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/jcp\/article\/133\/10\/104704\/350785\/Electron-electron-scattering-in-a-double-quantum"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9,10]]},"references-count":31,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2010,9,14]]}},"URL":"https:\/\/doi.org\/10.1063\/1.3477766","relation":{},"ISSN":["0021-9606","1089-7690"],"issn-type":[{"value":"0021-9606","type":"print"},{"value":"1089-7690","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2010,9,14]]},"published":{"date-parts":[[2010,9,10]]},"article-number":"104704"}}