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Phys. Rev. B 49, 13744–13749 (1994)

Self-consistent Floquet states for periodically driven quantum wells

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Bryan Galdrikian and Mark Sherwin
Physics Department, University of California at Santa Barbara, Santa Barbara, California 93106

Björn Birnir
Mathematics Department, University of California at Santa Barbara, Santa Barbara, California 93106
University of Iceland, Science Institute, Dunhaga 3, IS-107 Reykjavik, Iceland

Received 20 January 1994; published in the issue dated 15 May 1994

We have developed a nonperturbative method to compute the dynamics of electrons in quantum wells driven by oscillating electric fields. Floquet theory enables us to compute, in the local-density approximation, solutions of the Schrödinger equation for zero temperature which are self-consistent and for which the density is periodic in time. The method is demonstrated by computing harmonic generation from a tilted square well, which agrees with perturbation theory, and second-harmonic emission from an Al0.3Ga0.7As heterojunction, which agrees with recent experiments of Bewley et al.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.49.13744
DOI:
10.1103/PhysRevB.49.13744
PACS:
02.60.Cb, 73.20.Dx