Weak localization of Dirac fermions in graphene beyond the diffusion regime

Abstract

We develop a microscopic theory of the weak localization of two-dimensional massless Dirac fermions which is valid in the whole range of classically weak magnetic fields. The theory is applied to calculate magnetoresistance caused by the weak localization in graphene and conducting surfaces of bulk topological insulators.

5 pages, 2 figures

References in corpus (17)

• Colloquium: The transport properties of graphene: An introduction
• Weak localisation magnetoresistance and valley symmetry in graphene
• Strong suppression of weak (anti)localization in graphene
• Large bulk resistivity and surface quantum oscillations in the topological insulator Bi2Te2Se
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Weak localisation in graphene flakes
• Electron transport in disordered graphene
• Impurity effect on weak anti-localization in the topological insulator Bi2Te3
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Weak antilocalization in epitaxial graphene: evidence for chiral electrons
• Single valley Dirac fermions in zero-gap HgTe quantum wells
• Tunable Surface Conductivity in Bi2Se3 Revealed in Diffusive Electron Transport
• Adsorbate-limited conductivity of graphene
• Influence of trigonal warping on interference effects in bilayer graphene
• Backscattering of Dirac fermions in HgTe quantum wells with a finite gap
• Weak Localization of Dirac Fermions in Graphene
• Intervalley scattering and weak localization in Si-based two-dimensional structures

Cited by in corpus (12)

• Spin-helical transport in normal and superconducting topological insulators
• Symmetries and weak (anti)localization of Dirac fermions in HgTe quantum wells
• Signatures of dephasing by mirror-symmetry breaking in weak-antilocalization magnetoresistance across the topological transition in Pb${}_{1-x}$Sn${}_x$Se
• Interference-induced magnetoresistance in HgTe quantum wells
• Weak antilocalization in two-dimensional systems with large Rashba splitting
• Non-diffusion theory of weak localization in graphene
• Weak localization in low-symmetry quantum wells
• Quantum interference in HgTe structures
• Weak localization of holes in high-mobility heterostructures
• Strongly temperature dependent resistance of meander-patterned graphene
• Dynamical diffusion and renormalization group equation for the Fermi velocity in doped graphene
• Weak localization in p-type heterostructures in the presence of parallel magnetic field