Formation of Wigner molecules in small quantum dots

2000/04/06 by S. M. Reimann, M. Koskinen, M. Manninen · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Approx #Chemistry #Condensed matter physics #Density matrix #Electron #Hamiltonian (control theory) #Mathematics #Molecule #Physics #Physics of Superconductivity and Magnetism #Polarization (electrochemistry) #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.62.8108

arxiv created 2000/04/06 · openalex publication_date 2000/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It was recently argued that in small quantum dots the electrons could crystallize at much higher densities than in the infinite two-dimensional electron gas. We compare predictions that the onset of spin polarization and the formation of Wigner molecules occur at a density parameter r_s\ensuremath≈4a_B^* to the results of a straightforward diagonalization of the Hamiltonian matrix.

Citations

• Spin-density-functional theory of circular and elliptical quantum dots
• On the Interaction of Electrons in Metals
• Magnetic Oscillations of a Fractional Hall Dot

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