کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6933452 867595 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Eigensolutions of the Wigner-Eisenbud problem for a cylindrical nanowire within finite volume method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Eigensolutions of the Wigner-Eisenbud problem for a cylindrical nanowire within finite volume method
چکیده انگلیسی
We present a node-centered finite volume method for computing a representative range of eigenvalues and eigenvectors of the Schrödinger operator on a three-dimensional cylindrically symmetric bounded domain with mixed boundary conditions. The three-dimensional Schrödinger operator is reduced to a family of two-dimensional Schrödinger operators distinguished by a centrifugal potential. We consider a uniform, boundary conforming Delaunay mesh, which additionally conforms to the material interfaces. We study how the anisotropy of the effective mass tensor acts on the uniform approximation of the first K eigenvalues and eigenvectors and their sequential arrangement. There exists an optimal uniform Delaunay discretization with matching anisotropy with respect to the effective masses of the host material. For a centrifugal potential one retrieves the theoretically established first-order convergence, while second-order convergence is recovered only on uniform grids with an anisotropy correction.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 252, 1 November 2013, Pages 52-64
نویسندگان
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