Nonlinear excitations in self‐assembled one‐dimensional quantum dot arrays

Abstract

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.