A new approach to the ground state of quantum-Hall systems. I. Basic principles

Abstract

I present a new approach to the many-body ground state of quantum-Hall systems. The method describes the behavior of a two-dimensional electron system at all Landau-level filling factors $\nu$, continuously as a function of magnetic field, and enables one to analytically calculate any physical value, characterizing the system, at all $\nu$. New proposed trial many-body wave functions have a clear physical meaning and a very large variational freedom, which opens up wide possibilities to search for the ground state of the system at all magnetic fields.

23 pages, incl. 11 Figures, some errors are corrected, Physica B (in press)

References in corpus (4)

• Quantum Theory of Quantum-Hall Smectics
• New insulating phases of two-dimensional electrons in high Landau levels: observation of sharp thresholds to conduction
• New Physics in High Landau Levels
• Compressible Anisotropic States around the Half-Filled Landau Levels

Cited by in corpus (7)

• Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields
• Landau Levels as a Limiting Case of a Model with the Morse-Like Magnetic Field
• Boundary conductance in macroscopic bismuth crystals
• Angular momentum in the fractional quantum Hall effect
• Ground state energies of quantum dots in high magnetic fields: A new approach
• Anlaytic mean-field Hall crystal solution at nu=1/3: composite fermion like sub-bands and correlation effects
• Solving fermion problems without solving the sign problem: symmetry-breaking wave functions from similarity-transformed propagators for solving 2D quantum dots