Carrier relaxation due to electron-electron interaction in coupled double quantum well structures

Abstract

We calculate the electron-electron interaction induced energy-dependent inelastic carrier relaxation rate in doped semiconductor coupled double quantum well nanostructures within the two subband approximation at zero temperature. In particular, we calculate, using many-body theory, the imaginary part of the full self-energy matrix by expanding in the dynamically RPA screened Coulomb interaction, obtaining the intrasubband and intersubband electron relaxation rates in the ground and excited subbands as a function of electron energy. We separate out the single particle and the collective excitation contributions, and comment on the effects of structural asymmetry in the quantum well on the relaxation rate. Effects of dynamical screening and Fermi statistics are automatically included in our many body formalism rather than being incorporated in an ad-hoc manner as one must do in the Boltzman theory.

Resonant and anti‐resonant modes of the dilute, spin‐inbalanced, two‐dimensional electron liquid including correlations

“…However, accounting for correlation effects lowers the spin‐plasmon dispersion, implying that it enters the strong damping continuum at much lower wave vectors . Similar situations are known for the acoustic modes in other binary Coulomb systems, such as ionic mixtures, electron bilayers, semiconductor double wells, or the interface 2DEL of perovskites coupled to graphene (the list being far from complete; note also recent work on static many‐body correlations in graphene and the linear mode in the graphene‐related MoS 2 ). The transverse counterpart of the spin‐plasmon, i.e.…”

Effect of exchange–correlation potential on the plasmon dispersions in a doped symmetrical double quantum well

“…We follow the analyses of previous works [3,[5][6][7] to calculate the plasmon dispersions by solving for the zeros of the dielectric matrix ε(q, ω), with and without the exchange-correlation effects by including and omitting V xc , respectively. Our numerical results are presented in the next section.…”

“…Intersubband electronelectron interaction in symmetric and asymmetric double quantum well structures is theoretically studied by Marcos et al [2,3] using GW approximation with inelastic scattering rate in a two-subband model. In QCL and QWIP, while the intersubband inelastic relaxation turns out to be the primary rate-limiting scattering process, in the planar hot electron transistors with related two dimensional (2D) high speed devices, intra-subband relaxation due to electron-electron interaction is pointed out to be very important.…”

Geometrical asymmetry effects on energy and momentum transfer rates in a double-quantum-well structure: Linear regime

“…In spite of the fact that the symmetric DQW structure has been vastly studied, surprisingly, there are limited studies on the manybody properties of spatially asymmetric DQW structure [22][23][24] and therefore it is still exciting to investigate these many-particle nanoscale effects in an asymmetric geometry. The importance of studying the geometrical asymmetric structures originates from the fact that most real systems are not completely symmetric.…”

“…In spite of the fact that the symmetric DQW structure has been vastly studied, surprisingly, there are limited studies on the many-body properties of spatially asymmetric DQW structure [22][23][24] and therefore it is still exciting to investigate these many-particle nanoscale effects in an asymmetric geometry.The importance of studying the geometrical asymmetric structures originates from the fact that most real systems are not completely symmetric.Also, beingslightly asymmetric rather than perfectly symmetric could be considered as an additionalflexibility for engineering the system.As a result, considering spatial asymmetry into theoretical calculations might lead to an insight about the real and more interesting systems. Motivated by the above mentioned ideas, in the research presented here we study the Coulomb drag and energy transfer rate in a geometrically asymmetric DQW structure and compare our numerical results with calculations for the symmetric system [13,20].…”