corner
corner

Phys. Rev. Lett. 80, 3823–3826 (1998)

Connection Rules versus Differential Equations for Envelope Functions in Abrupt Heterostructures

Download: PDF (125 kB) Buy this article Export: BibTeX or EndNote (RIS)

Bradley A. Foreman*
Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China

Received 12 January 1998; published in the issue dated 27 April 1998

The controversial question of whether envelope functions are continuous or discontinuous at an abrupt heterojunction is addressed by developing a systematic procedure for obtaining interface connection rules from differential equations. The results show that even though modern envelope-function theories are smooth and continuous, their associated connection rules are discontinuous, in agreement with traditional concepts. This resolves the dispute in favor of both sides, by showing that the two views are physically equivalent.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.3823
DOI:
10.1103/PhysRevLett.80.3823
PACS:
73.20.Dx, 63.20.Dj, 68.35.Ja, 73.61.Ey

*Electronic address: phbaf@ust.hk