Microscopic analytical theory of a correlated, two-dimensional N-electron gas in a magnetic field

Abstract

We present a microscopic, analytical theory describing a confined N-electron gas in two dimensions subject to an external magnetic field. The number of electrons N and strength of the electron-electron interaction can be arbitrarily large, and all Landau levels are included implicitly. A possible connection with the Integer and Fractional Quantum Hall Effects is proposed.

The revised version contains minor changes to text. To be published in J. Phys: Condens. Matt

References in corpus (5)

• Addition Spectra of Quantum Dots in Strong Magnetic Fields
• Coulombically Interacting Electrons in a One-dimensional Quantum Dot
• Analytic results for $N$ particles with $1/r^2$ interaction in two dimensions and an external magnetic field
• Pulsed Magnetic Field Measurements of the Composite Fermion Effective Mass
• Quantum Breathing Mode for Electrons with 1/r^2 Interaction

Cited by in corpus (6)

• Remark on quantum mechanics with N=2 Schrodinger supersymmetry
• Generalized Calogero model in arbitrary dimensions
• Universal properties of conformal quantum many-body systems
• Classical Many-particle Clusters in Two Dimensions
• Novel classical ground state of a many body system in arbitrary dimensions
• Cavity-induced switching between Bell-state textures in a quantum dot