Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
arXiv:1404.2129 · doi:10.1088/1367-2630/16/7/073015
Abstract
We review a calculation of the quantum corrections to electrical transport in graphene using the trajectory-based semiclassical method. Compared to conventional metals, for graphene the semiclassical propagator contains an additional pseudospin structure, which influences the results for weak localization, and interaction-induced effects, such as the Altshuler-Aronov correction and dephasing. Our results apply to a sample of graphene that is doped away from the Dirac point and subject to a smooth disorder potential, such that electrons follow classical trajectories. In such system, the Ehrenfest time enters as an additional timescale.
34 pages, 9 figures
References in corpus (39)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Chiral tunneling and the Klein paradox in graphene
- Chaotic Dirac billiard in graphene quantum dots
- Andreev reflection and Klein tunneling in graphene
- A self-consistent theory for graphene transport
- Measurement of Scattering Rate and Minimum Conductivity in Graphene
- Colloquium: The transport properties of graphene: An introduction
- Weak localisation magnetoresistance and valley symmetry in graphene
- Strong suppression of weak (anti)localization in graphene
- Quantum-limited shot noise in graphene
- Quantum Hall Ferromagnetism in Graphene
- Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
- Quantum transport of massless Dirac fermions in graphene
- Weak localisation in graphene flakes
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
- Effect of Disorder on Transport in Graphene
- Quantum critical transport in clean graphene
- Topological delocalization of two-dimensional massless Dirac fermions
- Slow imbalance relaxation and thermoelectric transport in graphene
- Observation of excited states in a graphene quantum dot
- Conductivity of the defectless Graphene
- Low energy theory of disordered graphene
- Probing charge scattering mechanisms in suspended graphene by varying its dielectric environment
- Electron-Hole Crossover in Graphene Quantum Dots
- Weak Localization and Transport Gap in Graphene Antidot Lattices
- On electron (anti)localization in graphene
- Density inhomogeneity driven percolation metal-insulator transition and dimensional crossover in graphene nanoribbons
- Crossover from quantum to Boltzmann transport in graphene
- Ballistic transport in disordered graphene
- Berry phase in graphene: a semiclassical perspective
- Mesoscopic conductance fluctuations in graphene samples
- Quantum kinetic equation and universal conductance fluctuations in graphene
- Efficient on-chip source of microwave photon pairs in superconducting circuit QED
- Polarized Electric Current in Semiclassical Transport with Spin-Orbit Interaction
- Dephasing in quantum chaotic transport: a semiclassical approach
- Semiclassical theory of the Ehrenfest-time dependence of quantum transport
- Interplay of Ehrenfest time and dephasing time in ballistic conductors
- Dephasing in the semiclassical limit is system-dependent