Optical properties of a two-dimensional electron gas at even-denominator filling fractions

Abstract

The optical properties of an electron gas in a magnetic field at filling fractions ν= {1\over 2m} (m=1,2,3...) are investigated using the composite fermion picture. The response of the system to the presence of valence-band holes is calculated. The shapes of the emission spectra are found to differ qualitatively from the well-known electron-hole results at zero magnetic field. In particular, the asymmetry of the emission lineshape is found to be sensitive to the hole-composite fermion plane separation.

17 pages, LaTeX, 7 figures. This revised version is to appear in Physical Review B