Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential

Abstract

We obtain exact solutions to the Dirac equation and the relevant binding energies in the combined Aharonov--Bohm--Coulomb potential in 2+1 dimensions. By means of solutions obtained the quantum Aharonov--Bohm effect is studied for free and bound electron states. We show that the total scattering amplitude in the combined Aharonov--Bohm--Coulomb potential is a sum of the Aharonov--Bohm and the Coulomb scattering amplitudes. This modifies expression for the standard Aharonov--Bohm cross section due to the interference these two amplitudes with each other.

Revtex4, 7 pages, 0 figures

References in corpus (4)

• Aharonov-Bohm Oscillations with Spin: Evidence for Berry's Phase
• Dirac electron in a Coulomb Field in 2+1 Dimensions
• Planar Dirac Electron in Coulomb and Magnetic Fields
• Nonadiabatic noncyclic geometric phase and ensemble average spectrum of conductance in disordered mesoscopic rings with spin-orbit coupling

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