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Author |
Szafran, B.; Bednarek, S.; Adamowski, J.; Tavernier, M.B.; Anisimovas, E.; Peeters, F.M. |
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Title |
Accuracy of the Hartree-Fock method for Wigner molecules at high magnetic fields |
Type |
A1 Journal article |
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Year |
2004 |
Publication |
European physical journal : D : atomic, molecular and optical physics |
Abbreviated Journal |
Eur Phys J D |
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Volume |
28 |
Issue |
3 |
Pages |
373-380 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
Few-electron systems confined in two-dimensional parabolic quantum dots at high magnetic fields are studied by the Hartree-Fock (HF) and exact diagoiialization methods. A generalized multicenter Gaussian basis is proposed in the HF method. A comparison of the HF and exact, results allows as to discuss the relevance of the symmetry of the charge density distribution for the accuracy of the HF method. It is shown that the energy estimates obtained with the broken-symmetry HF wave functions become exact in the infinite magnetic-field limit. In this limit the charge density of the broken-symmetry solution call be identified with the classical charge distribution. |
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Place of Publication |
Berlin |
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Wos |
000220378400008 |
Publication Date |
2004-03-19 |
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Series Issue |
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Edition |
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ISSN |
1434-6060;1434-6079; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.288 |
Times cited |
14 |
Open Access |
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Notes |
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Approved |
Most recent IF: 1.288; 2004 IF: 1.692 |
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Call Number |
UA @ lucian @ c:irua:103246 |
Serial |
43 |
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Permanent link to this record |
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Author |
Szafran, B.; Peeters, F.M. |
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Title |
Re-entrant pinning of Wigner molecules in a magnetic field due to a Coulomb impurity |
Type |
A1 Journal article |
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Year |
2004 |
Publication |
Europhysics letters |
Abbreviated Journal |
Epl-Europhys Lett |
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Volume |
66 |
Issue |
5 |
Pages |
701-707 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
Pinning of magnetic-field-induced Wigner molecules (WMs) confined in parabolic two-dimensional quantum dots by a charged defect is studied by an exact diagonalization approach. We found a re-entrant pinning of the WMs as a function of the magnetic field, a magnetic-field-induced re-orientation of the WMs and a qualitatively different pinning behaviour in the presence of a positive and negative Coulomb impurity. |
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Place of Publication |
Paris |
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Wos |
000223064900014 |
Publication Date |
2004-05-27 |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0295-5075;1286-4854; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.957 |
Times cited |
11 |
Open Access |
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Notes |
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Approved |
Most recent IF: 1.957; 2004 IF: 2.120 |
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Call Number |
UA @ lucian @ c:irua:103226 |
Serial |
2816 |
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Permanent link to this record |
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Author |
Szafran, B.; Peeters, F.M.; Bednarek, S.; Adamowski, J. |
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Title |
Exact broken-symmetry states and Hartree-Fock solutions for quantum dots at high magnetic fields |
Type |
A1 Journal article |
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Year |
2005 |
Publication |
Physica. E: Low-dimensional systems and nanostructures
T2 – 3rd International Conference on Quantum Dots (QD 2004), MAY 10-13, 2004, Max Bell Bldg Banff Ctr, Banff, Canada |
Abbreviated Journal |
Physica E |
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Volume |
26 |
Issue |
1-4 |
Pages |
252-256 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Condensed Matter Theory (CMT) |
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Abstract |
Wigner molecules formed at high magnetic fields in circular and elliptic quantum dots are studied by exact diagonalization (ED) and unrestricted Hartree-Fock (UHF) methods with multicenter basis of displaced lowest Landau level wave functions. The broken symmetry states with semi-classical charge density constructed from superpositions of the ED solutions are compared to the UHF results. UHF overlooks the dependence of the few-electron wave functions on the actual relative positions of electrons localized in different charge puddles and partially compensates for this neglect by an exaggerated separation of charge islands which are more strongly localized than in the exact broken-symmetry states. (C) 2004 Elsevier B.V. All rights reserved. |
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Publisher |
North-Holland |
Place of Publication |
Amsterdam |
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Wos |
000227249000053 |
Publication Date |
2004-12-16 |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1386-9477; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
2.221 |
Times cited |
2 |
Open Access |
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Notes |
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Approved |
Most recent IF: 2.221; 2005 IF: 0.946 |
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Call Number |
UA @ lucian @ c:irua:103181 |
Serial |
1105 |
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Permanent link to this record |
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Author |
Nowak, M.P.; Szafran, B.; Peeters, F.M. |
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Title |
Resonant harmonic generation and collective spin rotations in electrically driven quantum dots |
Type |
A1 Journal article |
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Year |
2012 |
Publication |
Physical review : B : condensed matter and materials physics |
Abbreviated Journal |
Phys Rev B |
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Volume |
86 |
Issue |
12 |
Pages |
125428 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
Spin rotations induced by an ac electric field in a two-electron double quantum dot are studied by an exact numerical solution of the time-dependent Schrodinger equation in the context of recent electric-dipole spin resonance experiments on gated nanowires. We demonstrate that the splitting of the main resonance line by the spin exchange coupling is accompanied by the appearance of fractional resonances and that both these effects are triggered by interdot tunnel coupling. We find that the ac-driven system generates residual but distinct harmonics of the driving frequency, which are amplified when tuned to the main transition frequency. The mechanism is universal for electron systems in electrically driven potentials and works also in the absence of electron-electron interaction or spin-orbit coupling. |
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Wos |
000308867300005 |
Publication Date |
2012-09-21 |
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Series Issue |
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Edition |
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ISSN |
1098-0121;1550-235X; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
3.836 |
Times cited |
29 |
Open Access |
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Notes |
; This work was supported by funds of the Ministry of Science and Higher Education (MNiSW) for 2012-2013 under Project No. IP2011038671, and by PL-Grid Infrastructure. M.P.N. gratefully acknowledges support from the Foundation for Polish Science (FNP) under START and MPD program cofinanced by the EU European Regional Development Fund. ; |
Approved |
Most recent IF: 3.836; 2012 IF: 3.767 |
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Call Number |
UA @ lucian @ c:irua:101839 |
Serial |
2885 |
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Permanent link to this record |