Spurious solutions and boundary conditions in k center dot p theory

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding


title = "Spurious solutions and boundary conditions in k center dot p theory",
abstract = "It is well known that the origin of one type of spurious solutions in multiband k(.)p theory is the failure to restrict the Fourier coefficients of the envelope functions to the first Brillouin zone. Often, the set of differential equations obtained is supplemented with interfacial boundary conditions derived by integrating the differential equations across the interface; however, this leads to a mathematically ill-posed problem as the envelope functions cannot simultaneously fulfill these boundary conditions and the requirement that the Fourier coefficients be restricted to the first Brillouin zone. We show, by way of an example, the origin of these spurious solutions and how to remove them.",
keywords = "spurious solutions, exact envelope function theory, k center dot p, interfacial boundary conditions",
author = "Benny Lassen and M Willatzen and Melnik, {R. N. V.} and {Lew Yan Voon}, L.C.",
note = "The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002); 28th International Conference on the Physics of Semiconductors (ICPS-28) ; Conference date: 24-07-2006 Through 28-07-2006",
year = "2007",
doi = "10.1063/1.2729931",
language = "English",
volume = "893",
publisher = "American Institute of Physics (AIP)",
pages = "393--394",
booktitle = "Physics of Semiconductors, Pts A and B",
address = "United States",