Open AccessFinal Report - Composite Fermion Approach to Strongly Interacting Quasi Two Dimensional Electron Gas Systems
Author(s) -
John J. Quinn
Publication year - 2009
Language(s) - English
Resource type - Reports
DOI - 10.2172/1054786
Subject(s) - composite fermion , physics , quasiparticle , angular momentum , fermion , electron , coulomb , fermi gas , atomic physics , magnetic monopole , total angular momentum quantum number , momentum (technical analysis) , quantum mechanics , condensed matter physics , quantum electrodynamics , quantum hall effect , quantum spin hall effect , superconductivity , finance , economics
Work related to this project introduced the idea of an âeffective monopole strengthâ 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 âvacuum stateâ 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 liquidâlike picture, treating the much smaller number of quasiparticles and their interactions instead of the larger system of N electrons with Coulomb interactions