Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields
نویسندگان
چکیده
A new class of analytic wave functions is derived for two dimensional N-electron (2<N,`) systems in high magnetic fields. These functions are constructed through breaking ~at the Hartree-Fock level! and subsequent restoration ~via post-Hartree-Fock methods! of the circular symmetry. They are suitable for describing long-range Coulomb correlations, while the Laughlin and composite-fermion functions describe Jastrow correlations associated with a short-range repulsion. Underlying our approach is a collectively-rotating-electronmolecule picture, yielding for all N an oscillatory radial electron density that extends throughout the system.
منابع مشابه
Calculation of Quasi-one-dimensional Interacting Electron Gas Using the Hartree-Fock Method
In this paper, the Hartree-Fock method has been formulated to investigate some of the ground state properties of quasi-one-dimensional interacting electron gas in the presence of the magnetic field. The bare coulomb interaction between electrons has been assumed. For this system, we have also computed some of its thermodynamic and magnetic properties such as the energy, pressure, incompressibil...
متن کاملar X iv : c on d - m at / 9 40 50 76 v 1 2 6 M ay 1 99 4 Electrons in a strong magnetic field on a disk
The problem of interacting electrons moving under the influence of a strong magnetic field in two dimensions on a finite disk is reconsidered. First, the results of exact diagonalizations for up to N = 9 electrons for Coulomb as well as for a short–range interaction are used in the search for a peculiar ground state corresponding to filling factor 1/3. Not for the Coulomb, but only for the shor...
متن کاملAddition spectrum, persistent current, and spin polarization in coupled quantum dot arrays: Coherence, correlation, and disorder
The ground-state persistent current and electron addition spectrum in two-dimensional quantum dot arrays and one-dimensional quantum dot rings, pierced by an external magnetic flux, are investigated using the extended Hubbard model. The collective multidot problem is shown to map exactly into the strong-field noninteracting finite-size Hofstadter butterfly problem at the spin polarization trans...
متن کاملX iv : c on d - m at / 9 50 70 63 v 1 1 7 Ju l 1 99 5 Charge Density Wave Behaviour of the Integer Quantum Hall Effect Edge States
We analyze the effect that the Coulomb interaction has on the edge excita-tions of an electron gas confined in a bar of thickness W , and in presence of a magnetic field corresponding to filling factor 1 Quantum Hall effect. We find that the long-range interaction between the edges leads the system to a ground state with a quasi-long range order, similar to a Charge Density Wave. The spectral d...
متن کاملQuasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields
The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is a physical example of quasi-exactly solvable systems. This model, however, does not belong to the classes based on the algebra sl(2) which underlies most one-dimensional and effectively one-dimensional quasi-exactly solvable systems. In this paper we demonstrate that the quasi-exactly ...
متن کامل