Electrical transport of composite fermions at ν=32
Abstract
The resistivity is calculated for a two-dimensional electron gas at low temperatures in the fractional quantum Hall effect regime at a filling factor ν=32. The composite fermion picture enables us to use the integer quantum Hall effect and Shubnikov-de Haas (SdH) conductivity models for a quantitative comparison with experiment. We use the idea of parallel conduction of two gases. One gas, composed of electrons, fully occupies one of the two spin levels of the lowest Landau level, and a second, composed of composite fermions, partially occupies the other spin level. Two different formulas for the analysis of the SdH oscillations are used for the weak effective magnetic-field region and the large magnetic-field region, respectively, and satisfactory agreement with experiment is obtained. Comparison with the ν=12 case is made.
- Publication:
-
Physical Review B
- Pub Date:
- January 2001
- DOI:
- 10.1103/PhysRevB.63.035313
- Bibcode:
- 2001PhRvB..63c5313K
- Keywords:
-
- 73.43.-f;
- 72.20.My;
- 73.21.-b;
- 73.40.Kp;
- Quantum Hall effects;
- Galvanomagnetic and other magnetotransport effects;
- Electron states and collective excitations in multilayers quantum wells mesoscopic and nanoscale systems;
- III-V semiconductor-to-semiconductor contacts p-n junctions and heterojunctions