Full counting statistics in disordered graphene at Dirac point: From ballistics to diffusion
arXiv:1006.1330 · doi:10.1103/PhysRevB.82.085419
Abstract
The full counting statistics of the charge transport through an undoped graphene sheet in the presence of smooth disorder is studied. At the Dirac point both in clean and diffusive limits, transport properties of a graphene sample are described by the universal Dorokhov distribution of transmission probabilities. In the crossover regime, deviations from universality occur which can be studied analytically both on ballistic and diffusive sides. In the ballistic regime, we use a diagrammatic technique with matrix Green functions. For a diffusive system, the sigma model is applied. Our results are in good agreement with recent numerical simulations of electron transport in disordered graphene.
15 pages, 7 figures
References in corpus (35)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Suspended Graphene: a bridge to the Dirac point
- Random-Matrix Theory of Quantum Transport
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Anderson Transitions
- Andreev reflection and Klein tunneling in graphene
- Bipolar supercurrent in graphene
- Observation of the Fractional Quantum Hall Effect in Graphene
- Quantum-limited shot noise in graphene
- Quantum Hall Ferromagnetism in Graphene
- Phase Coherent Transport of Charges in Graphene Quantum Billiard
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Riemannian symmetric superspaces and their origin in random matrix theory
- Weak localisation in graphene flakes
- Electron transport in disordered graphene
- Effect of Disorder on Transport in Graphene
- Demonstration of one-parameter scaling at the Dirac point in graphene
- Topological delocalization of two-dimensional massless Dirac fermions
- Shot Noise in Ballistic Graphene
- Quantum criticality and minimal conductivity in graphene with long-range disorder
- Shot Noise in Graphene
- Theory of Anomalous Quantum Hall Effects in Graphene
- Conductivity and Fano factor in disordered graphene
- Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
- Charge transport in graphene with resonant scatterers
- Ballistic transport in disordered graphene
- Impurity-assisted tunneling in graphene
- Finite difference method for transport properties of massless Dirac fermions
- Universal scaling of current fluctuations in disordered graphene
- Mesoscopic conductance fluctuations in graphene
- Evanescent wave transport and shot noise in graphene: ballistic regime and effect of disorder
- Conductivity of disordered graphene at half filling
- Long-range-correlated disorder in graphene
Cited by in corpus (7)
- Coulomb interaction in graphene: Relaxation rates and transport
- Two dimensional Dirac fermions in the presence of long-range correlated disorder
- Resonant scattering in graphene with a gate-defined chaotic quantum dot
- Quantum transport of Dirac fermions in selected graphene nanosystems away from the charge-neutrality point
- Disorder correction to the minimal conductance of a nodal-point semimetal
- Electronic transport in graphene with particle-hole-asymmetric disorder
- Scaling theory for anomalous semiclassical quantum transport