A TWO DIMENSIONAL LATTICE OF QUANTUM DOTS IN THE PRESENCE OF ELECTRIC AND MAGNETIC FIELDS
Pages 18-24
Ovidiu Borota
Abstract
We consider a two dimensional lattice of quantum dots, under the presence of a perpendicular magnetic field and an external electric field oriented along one of the symmetry directions of the lattice. We calculated the electronic spectrum of this lattice in the Hall configuration under a single magnetic-band approximation. By choosing the Landau gauge , a single particle Hamiltonian was formulated, and its eigenfunctions were obtained as appropriately symmetrized, magnetic field- dependent Bloch functions. In the end we achieved a Harper's equation and we calculated the transfer matrix of this equation.