کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
503798 863818 2006 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical calculation of the electronic structure for three-dimensional quantum dots
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
Numerical calculation of the electronic structure for three-dimensional quantum dots
چکیده انگلیسی

In some recent papers Li, Voskoboynikov, Lee, Sze and Tretyak suggested an iterative scheme for computing the electronic states of quantum dots and quantum rings taking into account an electron effective mass which depends on the position and electron energy level. In this paper we prove that this method converges globally and linearly in an alternating way, i.e. yielding lower and upper bounds of a predetermined energy level in turn. Moreover, taking advantage of the Rayleigh functional of the governing nonlinear eigenproblem, we propose a variant which converges even quadratically thereby reducing the computational cost substantially. Two examples of finite element models of quantum dots of different shapes demonstrate the efficiency of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 174, Issue 6, 15 March 2006, Pages 441–446
نویسندگان
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