Electron Raman scattering in semiconductor quantum wire in an external magnetic field

Abstract

The differential cross-section for an electron Raman scattering process in a semiconductor quantum wire in the presence of an external magnetic field perpendicular to the plane of confinement is calculated. We assume a single parabolic conduction band. The emission spectra for different scattering configurations and the selection rules for the processes are studied. Singularities in the spectra are found and interpreted. The electron Raman scattering studied here can be used to provide direct information about the electron band and subband structure of these confinement systems. The magnetic field distribution is considered constant with value B 0 inside the wire and zero outside.

Electron Raman scattering in semiconductor quantum well wire of cylindrical ring geometry

“…Here Ĥρ is the Hamiltonian operator for the radiation field, in the dipole approximation, with frequency ω ρ and polarization unit vector 𝑒 ρ , [42] while |i and | f are the initial and the final states with energies E i and E f , respectively; and |a and |b are the intermediate states with energies E a and E b , whose lifetimes are Γ a and Γ b . In this case, we have two possibilities: [42] (i) the electron absorbs the incident photon and later emits the secondary radiation photon, which is represented by the first term of Eq. ( 5); (ii) the electron emits the secondary radiation photon and later absorbs the incident photon which is represented by the second term of Eq.…”

“…The effect of reduced dimensionality on the free carrier absorption and the selection rules for intersub-band transition has been discussed in Ref. [42], and there it is shown that the ERS can only take place in the confinement direction, then…”

“…The intersub-band ERS processes can be qualitatively described in the following way: first an electron in the conduction band absorbs a photon of incident radiation of energy hω l , then the electron emits a photon of secondary radiation of energy hω s due to a new intersub-band transition. [42]…”

Effects of external fields, the hydrostatic pressure and temperature on the electronic Raman scattering of a hydrogenic impurity in a two-dimensional parabolic quantum dot

“…The DCS of electron Raman scattering in a volume V per unit solid angle dΩ for the incident light with the frequency ω l and the scattered light with the frequency ω s is given by [69] …”

“…There exist many experimental studies which concerning the Raman scattering in nanostructures [56,57,58,59,60,61,62]. A great number of theoretical works has also been devoted to interpret the experimental results through the calculation of the differential cross-section (DCS) for the electron-Raman scattering (ERS) [63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82]. Ismailov and Mehdiyev [76] have investigated the effects of the dot size and the external magnetic field on the ERS in a cylindrical QD.…”