Carrier relaxation within a quantum well

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Discussion Overview

The discussion revolves around the relaxation processes of carriers within a quantum well, particularly focusing on how electrons transition between discrete subbands after being injected into the conduction band. Participants explore the mechanisms of energy and momentum transfer to phonons, the role of k-selection rules, and the nature of photon emissions during these transitions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant describes the relaxation of carriers in bulk semiconductors and questions how this process differs in quantum wells with discrete subband structures.
  • Another participant suggests that while the conduction band has a continuous phonon spectrum, the quantum well may have a discrete phonon spectrum.
  • There is a request for clarification on the relaxation process between subbands, specifically how electrons transition from barrier states to the lowest energy subband.
  • Some participants mention that photons generated by transitions in the conduction band have no minimum energy due to the continuous energy spectrum, while those in quantum wells have discrete energy differences.
  • One participant expresses confusion about the previous points and seeks a more detailed explanation regarding the relaxation process between subbands.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are multiple competing views regarding the nature of phonon spectra and the mechanisms of relaxation within quantum wells. The discussion remains unresolved with ongoing questions and requests for clarification.

Contextual Notes

Participants express uncertainty about the specifics of the relaxation process, including the role of photon emission and the implications of k-selection rules for intersubband transitions. There are also indications of missing assumptions regarding the nature of phonon interactions in quantum wells.

BPHH85
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Hi

Carriers injected in the conduction band of a bulk semiconductor, either by optical or by electrical injection, are relaxing to the lowest free states near the band edge by transmitting their excess energy and momentum to phonons before they recombine with holes in the valence band. This is fine for me. However, I don't know if this is the same situation for a quantum well with its discrete subband structure. Regarding a single electron diffusing and scattering from the barriere states in the quantum well, how would the transfer path look like until the electron will occoupy a state in the lowest energy subband? Is there also a k-selection rule to consider for intersubband transitions?

Maybe I'm searching for the wrong key points, but so far a have not found a satisfying explaination for this process. I would be grateful if someone could explain the process for me.

Best regards
 
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If continuous spetrum phonon for conduction band, I assume discrete spectrum phonon for quantum well.
 
anuttarasammyak said:
If continuous spetrum phonon for conduction band, I assume discrete spectrum phonon for quantum well.
Thank you for your reply. Unfortunately I don't get the point and how it would answer my question. Can you work it out in more detail?
 
Photons generetated by transfer of levels in conduction band have no minimum energy because of continuous energy spetre of electrons.
Photons generated by tansfer of levels in quantum well have discrete energy of
E_{ini}-E_{final}
 
anuttarasammyak said:
Photons generetated by transfer of levels in conduction band have no minimum energy because of continuous energy spetre of electrons.
Photons generated by tansfer of levels in quantum well have discrete energy of
E_{ini}-E_{final}
Maybe we're talking past each other, but I get that point already.

My question is about how the relaxation process between subbands occurs until the electron gets from the barriers to the deepest energetic state in the QW? Might you want to suggest, that the relaxation between different subbands within the same band (either conduction or valence band) within a QW is based on photon emission?
 

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