Effect of interactions on the conductance of graphene nanoribbons

We study the effects of the interaction between electrons and holes on the conductance G of quasi-one-dimensional graphene systems. We first consider as a benchmark the limit in which all interactions are negligible, recovering the predictions of the tight-binding approximation for the spectrum of t...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2010-11, Vol.82 (20), Article 205422
Main Authors: Bazzanella, M., Faccioli, P., Lipparini, E.
Format: Article
Language:English
Subjects:
APPROXIMATIONS
BASIC INTERACTIONS
BENCHMARKS
CALCULATION METHODS
CARBON
CORRECTIONS
COUPLING
DISTANCE
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELECTROMAGNETIC INTERACTIONS
ELECTRON-HOLE COUPLING
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
EXACT SOLUTIONS
FERMIONS
FIELD THEORIES
FORECASTING
HONEYCOMB STRUCTURES
INTERACTION RANGE
INTERACTIONS
LAYERS
LEPTONS
MATERIALS
MATHEMATICAL SOLUTIONS
MECHANICAL STRUCTURES
NANOSCIENCE AND NANOTECHNOLOGY
NANOSTRUCTURES
NONMETALS
ONE-DIMENSIONAL CALCULATIONS
PHYSICAL PROPERTIES
SEMICONDUCTOR MATERIALS
SPECTRA
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Summary:We study the effects of the interaction between electrons and holes on the conductance G of quasi-one-dimensional graphene systems. We first consider as a benchmark the limit in which all interactions are negligible, recovering the predictions of the tight-binding approximation for the spectrum of the system, and the well-known result G=4e{sup 2}/h for the lowest conductance quantum. Then we consider an exactly solvable field theoretical model in which the electromagnetic interactions are effectively local. Finally, we use the effective-field theory formalism to develop an exactly solvable model in which we also include the effect of nonlocal interactions. We find that such interactions turn the nominally metallic armchair graphene nanoribbon into a semiconductor while the short-range interactions lead to a correction to the G=4e{sup 2}/h formula.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.82.205422