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Understanding the Electronic Properties of Carbon Nanotubes and Graphene as Quantum Conductors

Objective

In low-dimensional systems the strength of electronic interactions is enhanced, which can give rise to fascinating phenomena such as charge fractionalization, spin-charge separation and fractional or non-Abelian statistics. Furthermore, the effects of disorder and external factors (such as the substrate, the leads, magnetic fields, or the coupling with a gate or an STM tip), are much stronger in low-dimensional systems than in three-dimensional systems, and can greatly alter their properties. The first goal of this project is to find experimental signatures of the exotic phenomena caused by interactions, both in carbon nanotubes, and in regular and graphene fractional quantum Hall systems. The second goal is to understand how the interplay between disorder, interactions and external factors impacts the physics and the possible technological use of nanotubes and graphene in electronic nanodevices. To achieve these goals I intend to calculate theoretically quantities measurable by electronic transport, such as the conductance and the noise, in particular the noise at high-frequencies, as well as quantities measurable by scanning tunneling microscopy (STM), such as the local density of states (LDOS). Furthermore I intend to analyze and explain the recently developed STM experiments on graphene, and to propose new STM measurements that will elucidate the physics of graphene in the fractional quantum Hall regime. Some of the theoretical techniques that I plan to use are the perturbative non-equilibrium Keldysh formalism, conformal field theory and the Bethe ansatz, the T-matrix approximation, the Born approximation and numerical methods such as ab-initio and recursive Green's functions.

Field of science

  • /natural sciences/mathematics/applied mathematics/numerical analysis
  • /engineering and technology/nanotechnology/nano-materials/two-dimensional nanostructures/graphene
  • /natural sciences/physical sciences/optics/microscopy/scanning tunneling microscopy

Call for proposal

ERC-2010-StG_20091028
See other projects for this call

Funding Scheme

ERC-SG - ERC Starting Grant

Host institution

COMMISSARIAT A L ENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES
Address
Rue Leblanc 25
75015 Paris 15
France
Activity type
Research Organisations
EU contribution
€ 668 336,30
Principal investigator
Viorica Cristina Bena (Dr.)
Administrative Contact
Jean-Christophe Coste (Mr.)

Beneficiaries (2)

COMMISSARIAT A L ENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES
France
EU contribution
€ 668 336,30
Address
Rue Leblanc 25
75015 Paris 15
Activity type
Research Organisations
Principal investigator
Viorica Cristina Bena (Dr.)
Administrative Contact
Jean-Christophe Coste (Mr.)
UNIVERSITE PARIS-SUD
France
EU contribution
€ 372 903,70
Address
Rue Georges Clemenceau 15
91405 Orsay Cedex
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Nicolas Lecompte (Mr.)