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Induced current and Aharonov-Bohm effect in graphene

Author(s)
Jackiw, Roman; Milstein, A. I.; Pi, So-Young; Terekhov, I. S.
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Abstract
The effect of vacuum polarization in the field of an infinitesimally thin solenoid at distances much larger than the radius of solenoid is investigated. The induced charge density and induced current are calculated. Though the induced charge density turned out to be zero, the induced current is a finite periodical function of the magnetic flux Φ. The expression for this function is found exactly in a value of the flux. The induced current is equal to zero at the integer values of Φ/Φ0 as well as at half-integer values of this ratio, where Φ0=2πℏc/e is the elementary magnetic flux. The latter is a consequence of the Furry theorem and periodicity of the induced current with respect to magnetic flux. As an example we consider the graphene in the field of solenoid perpendicular to the plane of a sample.
Date issued
2009-07
URI
http://hdl.handle.net/1721.1/51769
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review B
Publisher
American Physical Society
Citation
Jackiw, R. et al. “Induced current and Aharonov-Bohm effect in graphene.” Physical Review B 80.3 (2009): 033413. © 2009 The American Physical Society.
Version: Final published version
ISSN
1550-235X
1098-0121

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