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Nonlinear excitations in self‐assembled one‐dimensional quantum dot arrays
Author(s) -
Amuda Rajamani,
Krishnan Ramya
Publication year - 2005
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200541271
Subject(s) - hamiltonian (control theory) , physics , glauber , ansatz , ferromagnetism , nonlinear system , quantum dot , quantum mechanics , integrable system , quantum , soliton , mathematical physics , coherent states , condensed matter physics , mathematics , mathematical optimization , scattering
Self‐assembled quantum dot arrays are modeled by one‐dimensional Heisenberg ferromagnetic spin chains. The interdot interaction is responsible for the ferromagnetic ordering. Starting from the Heisenberg Hamiltonian, using Bosonic operators coupled with Glauber's coherent state ansatz, the equation of motion is derived. In the lower order of the expansion parameters the dynamics is found to be governed by the nonlinear Schrödinger equation which admits soliton solution. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)