Hopping and correlation effects in atomic clusters and networks

Date
2001
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Source Title
Technical Proceedings of the 2001 International Conference on Computational Nanoscience and Nanotechnology, ICCN 2001
Print ISSN
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Publisher
TechConnect
Volume
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Pages
196 - 199
Language
English
Type
Conference Paper
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Abstract

Exact solution for hopping and correlation effects in atomic clusters and mesoscopic/nanoscopic networks is outlined. The program translates the Hamiltonian operator of the cluster written in terms of second-quantized creation and annihilation operators, to sparse matrix of (extremely) large dimension and solves the latter with the help of new compiler termed ABC ("Advanced Basic-C" compiler/converter/programmer). The ABC creates a stand-alone executable or, if proved necessary, source C-code received from the original program written in a simplified Quick Basic dialect. ABC employes mathematical functions including the complex variables, arbitrary precision floating-point numbers, special functions, standard mathematical routines (mulidimensional integrals, eigenvalues of Hermitian marices, in particular a new algorithm for sparce Hermitian matrices, etc.) and is appropriate to practically all software/hardware environments (Windows, OS/2, Linux and UNIX machines).

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Keywords
Atomic cluster, Mesoscopic system, Persistent current, Sparse matrix, Superconducting network
Citation
Published Version (Please cite this version)