Aharonov–Bohm Effect in Multiband Electron Systems
2023. 04. 14. 10:15
BME building F, seminar room of the Dept. of Theoretical Physics
Németh Róbert (ELTE)
In 1959, Yakir Aharonov and David Bohm discovered theoretically that the quantum mechanical scattering of charged particles on an infinitesimally thin solenoid differs significantly from its classical counterpart. After its experimental verification by Robert Chambers in 1960, the Aharonov–Bohm effect became a widely known phenomenon supporting quantum theory. In their original paper, Aharonov and Bohm presented the analytical solution of the scattering problem for spinless charged particles. In our paper , we present a unified treatment for two-dimensional multiband electronic systems possessing isotropic band structures. We propose an integral representation of the scattering state and derive its asymptotic form to obtain the differential cross section. A rather surprising result emerges: this cross section is the same for all isotropic systems and agrees with the original formula by Aharonov and Bohm. To demonstrate the generality of our theory, we apply it to several specific multiband systems relevant in condensed matter physics.
: R Németh, J Cserti: Aharonov–Bohm Effect in Multiband Electron Systems, arXiv:2302.07050