Electron-electron scattering in far-infrared quantum cascade lasers

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 11, 1996, Pages 6889-6892

  Hyldgaard, Per ^a   Wilkins, John W ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000877696     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.6889     Document Type: Article

References (15)

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10. We estimate [see J. Bardeen, Phys. Rev. Lett. 6, 57 (1961) and N. S. Wingreen, Ph.D. dissertation, Cornell University, 1989] (Formula presented) ≈((Formula presented) /(Formula presented))(Formula presented) ((Formula presented)) with velocity (Formula presented)=(Formula presented), transmission probability (Formula presented)(E)=(Formula presented)texp[-(Formula presented)(Formula presented)]/((Formula presented)-E), lower collector band edge (Formula presented), and assuming a (Formula presented) =30 Å ((Formula presented) =214 meV) barrier thickness (height.) For the structure shown in Fig. 1 we predict only a (Formula presented) =0.40(0.93) meV to (Formula presented) =0.56(1.09) meV variation within the range 12≲V≲30 mV of voltage drops ensuring the upper-subband current injection. We neglect electron charging effects in these estimates of (Formula presented), noting that a (Formula presented) electron sheet density causes just a 10% change in the internal field ≈V/(Formula presented) at V∼20 mV. The moderate variation in (Formula presented) can be negated by a small change in the barrier thickness.
11. The strong nonequilibrium electron-electron scattering may also affect the study [see, for example, A. N. Korotkov, D. V. Averin and K. K. Likharev, Phys. Rev. B 49, 7548 (1994)] of possible continuous Bloch oscillations in a two-level tunneling structure.
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