Induced fermionic current in toroidally compactified spacetimes with applications to cylindrical and toroidal nanotubes

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.065011· OSTI ID:21456973

Bellucci, S ^[1]; Saharian, A A; Bardeghyan, V M ^[2]

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1. INFN, Laboratori Nazionali di Frascati, Via Enrico Fermi 40, 00044 Frascati (Italy)
2. Department of Physics, Yerevan State University, 1 Alex Manoogian Street, 0025 Yerevan (Armenia)

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.

• OSTI ID: 21456973
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.065011; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

77 NANOSCIENCE AND NANOTECHNOLOGY
72 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