Wave function methods for quantum dots in magnetic field

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Siljamäki, Sami
dc.date.accessioned 2012-02-10T08:56:13Z
dc.date.available 2012-02-10T08:56:13Z
dc.date.issued 2003-09-26
dc.identifier.isbn 951-22-6704-7
dc.identifier.issn 1455-1802
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/2110
dc.description.abstract This thesis investigates the use of wave-function methods for the study of quantum-dot systems. It investigates single dots, using quantum Monte Carlo techniques in a wide range of magnetic field values, and a double-dot system, using the exact-diagonalization method. The thesis proposes simple yet accurate many-particle wave functions for various angular-momentum and spin states, for both weak and strong magnetic fields. Using these trial wave functions, it evaluates various properties of dots and studies Wigner crystallization and spin polarization for the weak-field limit. For strong magnetic fields, the thesis investigates ground states of different spin polarizations as a function of the magnetic field and tests the commonly used lowest-Landau-level approximation. The results are compared to calculations from the density-functional theory. Finally, the thesis presents a method that combines the accuracy of the exact-diagonalization method and the scalability of Monte Carlo methods. The Monte Carlo-based diagonalization is a promising tool for use in situations that cannot be handled with a simple trial wave function, and have too many particles for an exact-diagonalization treatment. For quantum dots, methods for efficiently evaluating the high-magnetic-field basis functions and their gradients are demonstrated. en
dc.format.extent 48, [38]
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Helsinki University of Technology en
dc.publisher Teknillinen korkeakoulu fi
dc.relation.ispartofseries Dissertations / Laboratory of Physics, Helsinki University of Technology en
dc.relation.ispartofseries 124 en
dc.relation.haspart Harju A., Siljamäki S. and Nieminen R. M., 1999. Wave function for quantum-dot ground states beyond the maximum-density droplet. Physical Review B 60, pages 1807-1810. [article1.pdf] © 1999 American Physical Society. By permission.
dc.relation.haspart Siljamäki S., Sverdlov V. A., Harju A., Hyvönen P. and Nieminen R. M., 2000. Stability of the maximum-density droplet state in quantum dots: a quantum Monte Carlo study. Physica B 284-288, pages 1776-1777. [article2.pdf] © 2000 Elsevier Science. By permission.
dc.relation.haspart Harju A., Siljamäki S. and Nieminen R. M., 2002. Two-electron quantum dot molecule: composite particles and the spin phase diagram. Physical Review Letters 88, pages 226804 : 1-4. [article3.pdf] © 2002 American Physical Society. By permission.
dc.relation.haspart Harju A., Siljamäki S. and Nieminen R. M., 2002. Wigner molecules in quantum dots: a quantum Monte Carlo study. Physical Review B 65, pages 075309 : 1-6. [article4.pdf] © 2002 American Physical Society. By permission.
dc.relation.haspart Saarikoski H., Räsänen E., Siljamäki S., Harju A., Puska M. J. and Nieminen R. M., 2002. Electronic properties of model quantum-dot structures in zero and finite magnetic fields. The European Physical Journal B 26, pages 241-252.
dc.relation.haspart Siljamäki S., Harju A., Nieminen R. M., Sverdlov V. A. and Hyvönen P., 2002. Various spin-polarization states beyond the maximum-density droplet: a quantum Monte Carlo study. Physical Review B 65, pages 121306 (R) : 1-4. [article6.pdf] © 2002 American Physical Society. By permission.
dc.subject.other Physics en
dc.title Wave function methods for quantum dots in magnetic field en
dc.type G5 Artikkeliväitöskirja fi
dc.description.version reviewed en
dc.contributor.department Department of Engineering Physics and Mathematics en
dc.contributor.department Teknillisen fysiikan ja matematiikan osasto fi
dc.subject.keyword quantum dot en
dc.subject.keyword wave function en
dc.subject.keyword magnetic field en
dc.subject.keyword quantum Monte Carlo en
dc.subject.keyword Monte Carlo diagonalization en
dc.identifier.urn urn:nbn:fi:tkk-000786
dc.type.dcmitype text en
dc.type.ontasot Väitöskirja (artikkeli) fi
dc.type.ontasot Doctoral dissertation (article-based) en
dc.contributor.lab Laboratory of Physics en
dc.contributor.lab Fysiikan laboratorio fi


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