2001/05/25 by M. Taut
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic physics #Condensed matter physics #Crystallization #Electron #Fermi gas #Lattice (music) #Magnetic field #Materials science #Physics #Quantum and electron transport phenomena #Quantum mechanics #Thermodynamics #Topological Materials and Phenomena #Wigner crystal #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.64.165315
published as Phys. Rev. B 64, 165 315 (2001) · 11 pages, 7 figures
arxiv created 2001/05/25 · openalex publication_date 2001/10/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The ground state energy and the lowest excitations of a two-dimensional Wigner crystal in a perpendicular magnetic field with one and two electrons per cell is investigated. In the case of two electrons per lattice site, the interaction of the electrons within each cell is taken into account exactly (including exchange and correlation effects), and the interaction between the cells is in second order (dipole) van der Waals approximation. No further approximations are made, in particular Landau level mixing and incomplete spin polarization are accounted for. Therefore, our calculation comprises a, roughly speaking, complementary description of the bubble phase (in the special case of one and two electrons per bubble), which was proposed by Koulakov, Fogler, and Shklovskii on the basis of a Hartree Fock calculation. The phase diagram shows that in GaAs the paired phase is energetically more favorable than the single electron phase for, roughly speaking, filling factor f larger than 0.3 and density parameter rs smaller than 19 effective Bohr radii (for a more precise statement see Figs. 3 and 4). If we start within the paired phase and increase magnetic field or decrease density, the pairs first undergo some singlet-triplet transitions before they break.