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Author Bellucci, S. ♦ Saharian, A. A. ♦ Bardeghyan, V. M.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword NANOSCIENCE AND NANOTECHNOLOGY ♦ PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ♦ AHARONOV-BOHM EFFECT ♦ CARBON ♦ CHARGED CURRENTS ♦ COMPACTIFICATION ♦ CYLINDRICAL CONFIGURATION ♦ EXPECTATION VALUE ♦ FERMIONS ♦ HEXAGONAL LATTICES ♦ KALUZA-KLEIN THEORY ♦ MAGNETIC FLUX ♦ NANOTUBES ♦ PERIODICITY ♦ SPACE-TIME ♦ SPINOR FIELDS ♦ TOPOLOGY ♦ ALGEBRAIC CURRENTS ♦ CONFIGURATION ♦ CRYSTAL LATTICES ♦ CRYSTAL STRUCTURE ♦ CURRENTS ♦ ELEMENTS ♦ FIELD THEORIES ♦ MATHEMATICS ♦ NANOSTRUCTURES ♦ NONMETALS ♦ UNIFIED-FIELD THEORIES ♦ VARIATIONS
Abstract The vacuum expectation value of fermionic current is evaluated for a massive spinor field in spacetimes with an arbitrary number of toroidally compactified spatial dimensions in the presence of a constant gauge field. By using the Abel-Plana type summation formula and the zeta-function technique we present the fermionic current in two different forms. Nontrivial topology of the background spacetime leads to the Aharonov-Bohm effect for the fermionic current induced by the gauge field. The current is a periodic function of the magnetic flux with the period equal to the flux quantum. In the absence of gauge field it vanishes for special cases of untwisted and twisted fields. Applications of general formulas to Kaluza-Klein type models and to cylindrical and toroidal carbon nanotubes are given. In the absence of magnetic flux the total fermionic current in carbon nanotubes vanishes, due to the cancellation of contributions from two different sublattices of the hexagonal lattice of graphene.
ISSN 05562821
Educational Use Research
Learning Resource Type Article
Publisher Date 2010-09-15
Publisher Place United States
Journal Physical Review. D, Particles Fields
Volume Number 82
Issue Number 6


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