Eur. Phys. J. B 55, 271-282 (2007)
https://doi.org/10.1140/epjb/e2007-00060-4

Semiconductor quantum dots in high magnetic fields

The composite-fermion view

¹ Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania, 16802, USA
² Department of Physics and Astronomy, Seoul National University, Seoul, 151-747, Korea

Corresponding author: ^a gsjeon@phya.snu.ac.kr

Received: 5 December 2006
Published online: 2 March 2007

Abstract

We review and extend the composite fermion theory for semiconductor quantum dots in high magnetic fields. The mean-field model of composite fermions is unsatisfactory for the qualitative physics at high angular momenta. Extensive numerical calculations demonstrate that the microscopic CF theory, which incorporates interactions between composite fermions, provides an excellent qualitative and quantitative account of the quantum dot ground state down to the largest angular momenta studied, and allows systematic improvements by inclusion of mixing between composite fermion Landau levels (called Λ levels).