Landau quantization and curvature effects in a two-dimensional quantum dotC. Furtado1, A. Rosas1 and S. Azevedo2
1 Departamento de Física, Universidade Federal da Paraíba - Caixa Postal 5008, 58059-900, João Pessoa, PB, Brazil
2 Departamento de Física, Universidade Estadual de Feira de Santana - 44031-460, Feira de Santana, BA, Brazil
received 6 March 2007; accepted in final form 5 July 2007; published September 2007
published online 25 July 2007
In this work we have investigated the influence of topology in quantum dynamics in two-dimensional quantum dots in a conic surface. We analyze the quantum dynamics of particles in this dot when submitted to an external magnetic field and Aharonov-Bohm flux in the dot center. We obtain the eigenvalues and eigenfunctions exactly. We investigated the influence of geometry and topology on the magnetization, the Fermi energy, and the persistent currents. It is shown that the curvature of the space changes the oscillation pattern of those physical quantities.
73.20.At - Surface states, band structure, electron density of states.
73.23.Ra - Persistent currents.
72.15.Lh - Relaxation times and mean free paths.
© Europhysics Letters Association 2007