Unified description of the Aharonov-Bohm effect in isotropic multiband electronic systems

We present a unified treatment of the Aharonov-Bohm (AB) effect for two-dimensional multiband electronic systems possessing isotropic band structures. We propose an integral representation of the AB scattering state of an electron scattered by an infinitely thin solenoid. Moreover, we derive the asy...

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Bibliographic Details
Main Authors: Róbert Németh, József Cserti
Format: Article
Language:English
Published: American Physical Society 2023-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.023154
Description
Summary:We present a unified treatment of the Aharonov-Bohm (AB) effect for two-dimensional multiband electronic systems possessing isotropic band structures. We propose an integral representation of the AB scattering state of an electron scattered by an infinitely thin solenoid. Moreover, we derive the asymptotic form of the AB scattering state and obtain the differential cross section from that. We found a remarkable result, namely, that this cross section is the same for all isotropic systems and agrees with that obtained first by Aharonov and Bohm for spinless free-particle systems. To demonstrate the generality of our theory, we consider several specific multiband systems relevant to condensed matter physics.
ISSN:2643-1564