Composite fermions and Landau-level mixing in the fractional quantum Hall effect
Abstract
The reduction of the energy gap due to Landau-level mixing, characterized by the dimensionless parameter λ=(e2/ɛl0)/ħωc, has been calculated by variational Monte Carlo for the fractional quantum Hall effect at filling fractions ν=1/3 and 1/5 using a modified version of Jain's composite-fermion wave functions. These wave functions exploit the Landau-level mixing already present in composite-fermion wave functions by introducing a partial Landau-level projection operator. Results for the energy gaps are consistent with experimental observations in n-type GaAs, but we conclude that Landau-level mixing alone cannot account for the significantly smaller energy gaps observed in p-type systems.
- Publication:
-
Physical Review B
- Pub Date:
- December 1995
- DOI:
- 10.1103/PhysRevB.52.R17032
- arXiv:
- arXiv:cond-mat/9508060
- Bibcode:
- 1995PhRvB..5217032M
- Keywords:
-
- 73.20.Dx;
- 73.40.Hm;
- Condensed Matter
- E-Print:
- 11 pages, RevTex, 2 figures in compressed tar .ps format