skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Final Report - Composite Fermion Approach to Strongly Interacting Quasi Two Dimensional Electron Gas Systems

Technical Report ·
DOI:https://doi.org/10.2172/1054786· OSTI ID:1054786

Work related to this project introduced the idea of an effective monopole strength Q* that acted as the effective angular momentum of the lowest shell of composite Fermions (CF). This allowed us to predict the angular momentum of the lowest band of energy states for any value of the applied magnetic field simply by determining N{sub QP} the number of quasielectrons (QE) or quasiholes (QH) in a partially filled CF shell and adding angular momenta of the N{sub QP} Fermions excitations. The approach reported treated the filled CF level as a vacuum state which could support QE and QH excitations. Numerical diagonalization of small systems allowed us to determine the angular momenta, the energy, and the pair interaction energies of these elementary excitations. The spectra of low energy states could then be evaluated in a Fermi liquid-like picture, treating the much smaller number of quasiparticles and their interactions instead of the larger system of N electrons with Coulomb interactions.

Research Organization:
Univ. of Tennessee, Knoxville, TN (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
FG02-97ER45657
OSTI ID:
1054786
Report Number(s):
97ER45657-final
Country of Publication:
United States
Language:
English

Similar Records

Composite fermion excitations in fractional quantum Hall systems
Conference · Sat Apr 01 00:00:00 EST 1995 · OSTI ID:1054786

Composite fermions on a Haldane sphere: Quasielectron-quasihole symmetry
Journal Article · Sun Dec 01 00:00:00 EST 1996 · Physical Review, B: Condensed Matter · OSTI ID:1054786

Interaction and particle{endash}hole symmetry of Laughlin quasiparticles
Journal Article · Fri Jun 15 00:00:00 EDT 2001 · Physical Review B · OSTI ID:1054786