These quantum interference effects result from the
combination of two graphene properties: a gapless two bands spectrum of quasiparticles
in the graphene and a local resonant interaction of quasiparticles with EF allowing to
re-distribute particles between bands. The quantum interference effects manifest
themselves, e.g., by large oscillations in the dependence of dc current on the gate
voltage (see Fig. 2) [3].
These oscillations present a particular realization of
the Ramsey quantum beating ("Ramsey fringes") or Stueckelberg oscillations well
known in atomic physics.
We will focus also on the quantum phenomena in the transport of graphene based arrays
of nanocrystals, i.e. the arrays of quantum dots incorporated in graphene nanoribbons,
graphene nanoflakes embedded into an insulator/metal matrix.
The quantum effects in
such systems are due to interplay of the specific electron spectrum of graphene,
quantum-mechanical tunneling between nanocrystals, quantum fluctuations, Coulomb
interactions, and disorder [4-5].
The electronic transport in such systems can vary
from the insulator behavior to a good metal one (see Fig. 3). We will theoretically
study temperature dependencies of the conductivity close to the metal-insulator
transition and the co-tunneling regime of linear and nonlinear electronic transport,
the gate voltage influence on the transport.
The obtained results can be important for the field of Quantum information processing
in graphene based nanostructures.
References:
1. M. V. Fistul and K. B. Efetov, "Electromagnetic-Field-Induced Suppression of Transport through n-p Junctions in Graphene", Phys. Rev. Lett. 98, 256803 (2007).
2. S. V. Syzranov, M. V. Fistul, and K. B. Efetov, "Effect of radiation on transport in graphene", Phys. Rev. B 78, 045407 (2008).
3. M. V. Fistul, S. V. Syzranov, A. M. Kadigrobov, and K. B. Efetov, “Radiation-induced quantum interference in low-dimensional n-p junctions”, Phys. Rev. B, 78, 045407 (2008).
4. I. S. Beloborodov, A. V. Lopatin, V. M. Vinokur, and K. B. Efetov, “ Granular electronic systems “, Rev. Mod. Phys. 79, 469 (2007).
5. I. L. Aleiner and K. B. Efetov, “ Effect of Disorder on Transport in Graphene” , Phys. Rev. Lett. 97, 236801 (2006)