Localized two-particle states in deformed nanolayers

Author

Popov, S.I. ; Gavrilov, M.I. ; Yu, Popov I.

Author_Institution

Dept. of Higher Math., St. Petersburg Nat. Res. Univ. of Inf. Technol., Mech. & Opt., St. Petersburg, Russia

fYear

2012

fDate

May 28 2012-June 1 2012

Firstpage

203

Lastpage

206

Abstract

Problem of particles storage in nanolayered structure is considered. Local deformations of the nanolayers leads to appearance of eigenvalues of the corresponding one-particle Hamiltonian. The cardinality of the discrete spectrum is used to estimate the maximal number of non-interacting fermions stored in the nanolayers. The discrete spectrum of the Hamiltonian of two interacting particles is considered. Relation between the system parameters (interaction intensity - waveguide deformation) ensuring the existence of non-empty discrete spectrum is studied. Hartree method and FEM are used.

Keywords

SCF calculations; deformation; eigenvalues and eigenfunctions; fermion systems; finite element analysis; localised states; nanostructured materials; FEM; Hartree method; deformed nanolayers; eigenvalues; interaction intensity; localized two-particle states; non-empty discrete spectrum; noninteracting fermions; one-particle Hamiltonian; particle storage; Approximation methods; Diffraction; Eigenvalues and eigenfunctions; Estimation; Finite element methods; Hydrogen; Quantum computing;

fLanguage

English

Publisher

ieee

Conference_Titel

Days on Diffraction (DD), 2012

Conference_Location

St. Petersburg

Print_ISBN

978-1-4673-4418-0

Type

conf

DOI

10.1109/DD.2012.6402779

Filename

6402779