The Effect of Interactions on the Conductance of Graphene Nanoribbons
arXiv:1007.1316 · doi:10.1103/PhysRevB.82.205422
Abstract
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=4 e^2/h for the lowest conductance quantum. Then we consider an exactly solvable field theoretical model in which the electro-magnetic 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 non-local interactions. We find that such interactions turn the nominally metallic armchair graphene nanoribbon into a semi-conductor, while the short-range interactions lead to a correction to the G=4 e^2/h formula.
arXiv comment9 pages, 1 figure
References in corpus (15)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Energy Band Gap Engineering of Graphene Nanoribbons
- Graphene Nano-Ribbon Electronics
- Room Temperature All Semiconducting sub-10nm Graphene Nanoribbon Field-Effect Transistors
- Possible Spin Polarization in a One-Dimensional Electron Gas
- Interactions and phase transitions on graphene's honeycomb lattice
- Coulomb blockade in graphene nanoribbons
- Tunable Coulomb blockade in nanostructured graphene
- Interaction Effects in a One-Dimensional Constriction
- Many-body spin related phenomena in ultra-low-disorder quantum wires
- Massive Schwinger model within mass perturbation theory
- On the equivalence between sine-Gordon model and Thirring model in the chirally broken phase of the Thirring model
- Ground state structure and conductivity of quantum wires of infinite length and finite width
- Effective Field Theory for the Quantum Electrodynamics of a Graphene Wire