Formulation of the optical response in semiconductors and quantum-confined structures

Abstract

Based on the Green's-function formalism, we present an approach to the linear and nonlinear optical properties of semiconductors and their heterostructures. Starting from the Bethe-Salpeter equation ͓as provided in Schmitt-Rink, Ell, and Haug, Phys. Rev. B 33, 1183 ͑1986͔͒, we obtain closed-form expressions for the interband density of states in the presence of a carrier plasma of arbitrary density and in quasiequilibrium. Focusing on two-dimensional heterostructures, we discuss both the exciton resonances and the exciton ionization continuum. Our approach brings out, in a most natural way, phenomena whose description was previously known phenomenologically or numerically.

Many-body formulation of carriers capture time in quantum dots applicable in device simulation codes

“…͑2͒ a renormalization term, treating it as in Ref. 16. The resulting equations resulted unchanged, except for the self-energy correction to E 0 wherever it appears.…”

“…We can write q as ͱ q 2 , being it real and positively defined. In this way, following the method developed in previous works, 16,22 we can extend the integration limit to the negative real axis, dividing the result by two. Then we can extend the integration to the complex plane, adding to the integration path a half-circle at infinity in upper half plane, yielding a vanishing contribution.…”

Ionization Degree of Electron-Hole Plasma in GaN/AlGaN Quantum Wells

“…(25) with d ab m ¼ 0). Using these parameters we calculate the bound state energies (see [12]) and scattering phase shifts (see [10]) with the interaction potentials, Eqs. (10), (11).…”

Practical formulations of the electron capture rate in quantum wells by phonon emission at low carrier density

“…We can write q as ͱq 2 , being it real and positively defined. In this way, following the method developed in our previous works, 23,24 we can consider the substitution zϭqϪk, extend the integration limit to the negative real axis, dividing the result by 2. Then we extend the integration to the complex plane, adding to the integration path a half circle at infinity in upper half plane, yielding a vanishing contribution.…”