Composite fermions and Landau-level mixing in the fractional quantum Hall effect

1995/08/16 by V. Melik-Alaverdian, N. E. Bonesteel · 1 citation
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.1103/physrevb.52.r17032

11 pages, RevTex, 2 figures in compressed tar .ps format

arxiv created 1995/08/16 · openalex publication_date 1995/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The reduction of the energy gap due to Landau-level mixing, characterized by the dimensionless parameter \ensuremathλ=(e²/\ensuremathεl₀)/\ensuremath\Elzxh\mathrm\ensuremathω_c, has been calculated by variational Monte Carlo for the fractional quantum Hall effect at filling fractions \ensuremathν=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.

Citations

• Band structure of the fractional quantum Hall effect

Cited by

• Edge reconstruction in the fractional quantum Hall regime