Title :
Embedded self-energy technique for solving arbitrary nanoelectronic systems using FEAST
Author :
Levin, Alan ; Polizzi, Eric
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Massachusetts, Amherst, MA, USA
Abstract :
This paper presents an efficient computational technique based on embedded self-energy functions, and describes how this technique can be used in the case of electronic structure problems. This technique demonstrates a numerical implementation of the mathematical framework built around the FEAST eigenvalue solver, as proposed in [1]. By taking advantage of the benefits of the finite element method for performing muffin-tin type domain decomposition, this technique naturally removes the non-linearity of the resulting reduced eigenvalue problem. This approach can work for arbitrary atomistic systems of different dimensions. Results for 2D systems are shown, along with plans for future work.
Keywords :
eigenvalues and eigenfunctions; electronic engineering computing; finite element analysis; nanoelectronics; FEAST eigenvalue solver; arbitrary nanoelectronic systems; computational technique; electronic structure problems; embedded self-energy functions; embedded self-energy technique; finite element method; mathematical framework; muffin-tin type domain decomposition; Eigenvalues and eigenfunctions; Electric potential; Finite element methods; Green´s function methods; Large-scale systems; Linear systems; Numerical models;
Conference_Titel :
Nanotechnology (IEEE-NANO), 2011 11th IEEE Conference on
Conference_Location :
Portland, OR
Print_ISBN :
978-1-4577-1514-3
Electronic_ISBN :
1944-9399
DOI :
10.1109/NANO.2011.6144460