Volume 69, Number 2, January 2005
|Page(s)||249 - 255|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||17 December 2004|
Envelope-function theory without spurious real solutions
Air Force Research Laboratory, Materials & Manufacturing Directorate Wright-Patterson AFB, OH 45433-7707, USA
Accepted: 12 November 2004
Spurious real solutions of the bulk Hamiltonian for semiconductors can lead to spurious bands and nonnormalizable wave functions in the envelope function approximation (EFA). Since physical observables cannot depend on layer width variations on the scale of 1 —less than a typical interface width or the precision of defining an interface— we form coherent superpositions of spurious real solutions that satisfy boundary conditions with interface boundaries varying on the scale of . The superposition leads to a total destructive interference, which demonstrates that real spurious solutions do not contribute to the envelope function away from interfaces. In the interfacial region, we show that real spurious solutions should be replaced with evanescent solutions that decay within . The present technique is demonstrated in a model case and in a superlattice calculation using the EFA.
PACS: 73.21.-b – Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems / 73.21.Cd – Superlattices / 73.21.Ac – Multilayers
© EDP Sciences, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.