Abstract:The behavior of carrier-carrier screemng IS investigated in a GaAs-GaAIAs quantum well structure by measuring the band-to-band polarization dephasing with femtosecond photon echoes. The variation of the electron-hole polarization dephasing time with the carrier concentration reveals the two-dimensional character of the short range screening between the interacting carriers.
1The phase coherence time between an electron and the corresponding hole created during a band-to-band optical transition in a semiconductor decreases with increasing carrier density due to the effects of carrier-carrier scattering. At low carrier densities, ignoring the Coulomb interaction between carriers, the carrier-carrier scattering time is expected to scale inversely with the carrier density. At higher densities, screening due to the Coulomb potential of the charged particles will act to suppress the process of carrier-carrier scattering. Coulomb screening, which was originally studied in metals [1], depends on the electron and hole environment and therefore is a function of the dimensionality of the system under study.We report here measurements that show the influence of carrier-carrier interactions on the dephasing processes which occur in a GaAs-GaAlAs Quantum Well (QW) structure. Due to the confmement of the carriers in the well, they are expected to behave like a two-dimensional (2D) electron gas. Indeed, our measurements performed at different carrier densities indicate a screening behavior that reveals the bi-dimensionality of the system. The 2D screening that we deduce from the experiment is well understood if we assume that a given carrier interacts only with its nearest neighbors, indicating that the range of the screened Coulomb interaction is of the order of the average inter-carrier spacing. We discuss the validity of this nearest-neighbor interaction picture with respect to the experimental conditions in which a nonequilibrium, nondegenerate electron-hole population is created over a large range of energies and wave vectors.Femtosecond optical spectroscopy now allows the dynamics of energy relaxation and dephasing of excited carriers in bulk semiconductors or 2D QW structures to be studied with 10 fs resolution [2]. In bulk GaAs it is known that under high densities of excitation, carriercarrier scattering plays an important role in the thermalization of hot carriers (carriers with high excess energy with respect to the bottom of the conduction or valence band [3]), and it has been shown with both photon echo [4] and time-resolved polarization rotation measurements 2 [5,6] that it is also the dominant mechanism for momentum redistribution. In QW structures the carrier therrnalization has been extensively studied in undoped [7,8] and doped [9,10] structures, where the imponance of collisions between carriers was found to be the main process for the redistribution of energy through inelastic carrier-carrier scattering.Recent work [8,9,10] has also shown that phase space filling due to the Pauli exclusion principle...