“Exact broken-symmetry states and Hartree-Fock solutions for quantum dots at high magnetic fields”. Szafran B, Peeters FM, Bednarek S, Adamowski J, 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 26, 252 (2005). http://doi.org/10.1016/j.physe.2004.08.059
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.
Keywords: A1 Journal article; Engineering sciences. Technology; Condensed Matter Theory (CMT)
Impact Factor: 2.221
Times cited: 2
DOI: 10.1016/j.physe.2004.08.059
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“Accuracy of the Hartree-Fock method for Wigner molecules at high magnetic fields”. Szafran B, Bednarek S, Adamowski J, Tavernier MB, Anisimovas E, Peeters FM, European physical journal : D : atomic, molecular and optical physics 28, 373 (2004). http://doi.org/10.1140/epjd/e2003-00320-5
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.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.288
Times cited: 14
DOI: 10.1140/epjd/e2003-00320-5
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“Effective Landé, factors for an electrostatically defined quantum point contact in silicene”. Rzeszotarski B, Mrenca-Kolasinska A, Peeters FM, Szafran B, Scientific Reports 11, 19892 (2021). http://doi.org/10.1038/S41598-021-99074-6
Abstract: The transconductance and effective Lande g* factors for a quantum point contact defined in silicene by the electric field of a split gate is investigated. The strong spin-orbit coupling in buckled silicene reduces the g* factor for in-plane magnetic field from the nominal value 2 to around 1.2 for the first-to 0.45 for the third conduction subband. However, for perpendicular magnetic field we observe an enhancement of g* factors for the first subband to 5.8 in nanoribbon with zigzag and to 2.5 with armchair edge. The main contribution to the Zeeman splitting comes from the intrinsic spin-orbit coupling defined by the Kane-Mele form of interaction.
Keywords: A1 Journal article; Engineering sciences. Technology; Condensed Matter Theory (CMT)
Impact Factor: 4.259
DOI: 10.1038/S41598-021-99074-6
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“Double quantum dots defined in bilayer graphene”. Zebrowski DP, Peeters FM, Szafran B, Physical review B 96, 035434 (2017). http://doi.org/10.1103/PHYSREVB.96.035434
Abstract: Artificial molecular states of double quantum dots defined in bilayer graphene are studied with the atomistic tight-binding method and its low-energy continuum approximation. We indicate that the extended electron wave functions have opposite parities on sublattices of the layers and that the ground-state wave-function components change from bonding to antibonding with the interdot distance. In the weak-coupling limit, the one most relevant for quantum dots defined electrostatically, the signatures of the interdot coupling include, for the two-electron ground state, formation of states with symmetric or antisymmetric spatial wave functions split by the exchange energy. In the high-energy part of the spectrum the states with both electrons in the same dot are found with the splitting of energy levels corresponding to simultaneous tunneling of the electron pair from one dot to the other.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 6
DOI: 10.1103/PHYSREVB.96.035434
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