download0 view140
twitter facebook

공공누리This item is licensed Korea Open Government License

Title
Numerical guidelines for setting up a k.p simulator with applications to quantum dot heterostructures and topological insulators
Author(s)
Parijat SenguptaGerhard KlimeckYaohua Tan류훈이선희
Publication Year
2015-08-02
Abstract
The k.p perturbation method for determination of electronic structure first pioneered by Kohn and Luttinger continues to provide valuable insight to several band structure features. This method has been adapted to heterostructures confined in up to three directions. In this paper, numerical details of setting up a k.p Hamiltonian using the finite difference approximation for such confined nanostructures is explicitly demonstrated. Nanostructures belonging to two different symmetry classes, namely, the cubic zincblende and rhombohedral crystals are considered. Rhombohedral crystals, of late, have gained prominence as candidates for the recently discovered topological insulator (TI) class of materials. Lastly, the incorporation of a strain field to the k.p Hamiltonian and the corresponding matrix equations for computing the intrinsic and an externally applied strain in heterostructures within a continuum approximation is shown. Two applications are considered (1)Computation of the eigenstates of a multi-million zincblende InAs quantum dot with a stress-reducing InGaAs layer of varying Indium composition embedded in a GaAs matrix and (2) Dispersion of a rhombohedral TI Bi2Se3 film and the necessary alteration in presence of proximity-induced superconductivity.
Keyword
Eight-band k.p; Bir-Pikus Hamiltonian; Topological insulator; Quantum dot; s-wave superconductor
Journal Title
Journal of Computational Electronics
Citation Volume
Advanced Online Publication
ISSN
1569-8025
Files in This Item:
There are no files associated with this item.
Appears in Collections:
7. KISTI 연구성과 > 학술지 발표논문
URI
https://repository.kisti.re.kr/handle/10580/14472
http://www.ndsl.kr/ndsl/search/detail/article/articleSearchResultDetail.do?cn=NART75252681
Export
RIS (EndNote)
XLS (Excel)
XML

Browse