M. Titov

Sub-Poissonian Shot Noise in Graphene

We calculate the mode-dependent transmission probability of massless Dirac fermions through an ideal strip of graphene (length L, width W, no impurities or defects), to obtain the conductance and shot noise as a function of Fermi energy. We find that the minimum conductivity of order e^2/h at the Dirac point (when the electron and hole excitations are degenerate) is associated with a maximum of the Fano factor (the ratio of noise power and mean current). For short and wide graphene strips the Fano factor at the Dirac point equals 1/3, three times smaller than for a Poisson process. This is the same value as for a disordered metal, which is remarkable since the classical dynamics of the Dirac fermions is ballistic.

Josephson effect in ballistic graphene

We solve the Dirac\char21{}Bogoliubov\char21{}de Gennes equation in an impurity-free superconductor\char21{}normal-metal\char21{}superconductor junction, to determine the maximal supercurrent

Electrostatic confinement of electrons in an integrable graphene quantum dot

{I}_{c}

Spin filters with Fano dots

that can flow through an undoped strip of graphene with heavily doped superconducting electrodes. The result

Impurity-assisted tunneling in graphene

{I}_{c}\ensuremath{\simeq}(W∕L)e{\ensuremath{\Delta}}_{0}∕\ensuremath{\hbar}

Band-center anomaly of the conductance distribution in one-dimensional Anderson localization .

is determined by the superconducting gap

Magnetoresistance in two-component systems

{\ensuremath{\Delta}}_{0}

Dirac-Kronig-Penney model for strain-engineered graphene

and by the aspect ratio of the junction (length

Nonuniversality of Anderson Localization in Short-Range Correlated Disorder

L

Giant Magnetodrag in Graphene at Charge Neutrality

small relative to the width