Mesoscopic conductance fluctuations in graphene samples

Abstract

Mesoscopic conductance fluctuations in graphene samples at energies not very close to the Dirac point are studied analytically. We demonstrate that the conductance variance $<[\delta G{]}^2>$ is very sensitive to the elastic scattering breaking the valley symmetry. In the absence of such scattering (disorder potential smooth at atomic scales, trigonal warping negligible), the variance $<[\delta G{]}^2>=4<[\delta G{]}^2{>}_{\text{metal}}$ is four times greater than that in conventional metals, which is due to the two-fold valley degeneracy. In the absence of intervalley scattering, but for strong intravalley scattering and/or strong warping $<[\delta G{]}^2>=2<[\delta G{]}^2{>}_{\text{metal}}$. Only in the limit of strong intervalley scattering $<[\delta G{]}^2>=<[\delta G{]}^2{>}_{\text{metal}}$. Our theory explains recent numerical results and can be used for comparison with existing experiments.

4+ pages, 2 figures

References in corpus (20)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Bipolar supercurrent in graphene
• Weak localisation magnetoresistance and valley symmetry in graphene
• Strong suppression of weak (anti)localization in graphene
• Quantum-limited shot noise in graphene
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Weak localisation in graphene flakes
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
• Effect of Disorder on Transport in Graphene
• Anomalously large conductance fluctuations in weakly disordered graphene
• On electron (anti)localization in graphene
• Minimal conductivity in bilayer graphene
• Spontaneous symmetry breakings in graphene subjected to in-plane magnetic field
• Quantum kinetic equation and universal conductance fluctuations in graphene

Cited by in corpus (39)

• Electronic transport in two dimensional graphene
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Disorder and Electronic Transport in Graphene
• Defect-mediated spin relaxation and dephasing in graphene
• Electron-electron interactions in the conductivity of graphene
• Finite difference method for transport properties of massless Dirac fermions
• Single- and multi-mode Fabry-Pérot interference in suspended graphene
• Universal conductance fluctuations in Dirac materials in the presence of long-range disorder
• Spin-resolved Quantum Interference in Graphene
• Mesoscopic conductance fluctuations in graphene
• Conductance fluctuations and field asymmetry of rectification in graphene
• Imaging coherent transport in graphene (Part II): Probing weak localization
• Quantum transport thermometry for electrons in graphene
• Pseudo-ballistic transport in 3D topological insulator quantum wires
• Quantum Hall effect in exfoliated graphene affected by charged impurities: metrological measurements
• Phase Coherent Transport in Graphene Nanoribbons and Graphene Nanoribbon Arrays
• Non-Ergodicity & Microscopic Symmetry Breaking of the Conductance Fluctuations in Disordered Mesoscopic Graphene
• Finite-difference method for transport of two-dimensional massless Dirac fermions in a ribbon geometry
• Edge effects in graphene nanostructures: II. Semiclassical theory of spectral fluctuations and quantum transport
• Two dimensional Dirac fermions in the presence of long-range correlated disorder
• Numerical Study of Universal Conductance Fluctuation in Three-dimensional Topological Semimetals
• Electron flow in split-gated bilayer graphene
• Spin Conductance of Diffusive Graphene Nanoribbons: a Probe of Zigzag Edge Magnetization
• Conductance Peak Density in Nanowires
• Transport through open quantum dots: making semiclassics quantitative
• Quantum Interference Noise Near the Dirac Point in Graphene
• Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
• Conductance fluctuations in quasi-two-dimensional systems: a practical view
• Remote Mesoscopic Signatures of Induced Magnetic Texture in Graphene
• Excitonic Tunneling in the AB-bilayer Graphene Josephson Junctions
• Diffusion at the Surface of Topological Insulators
• Mapping universal conductance fluctuations
• Quantum Transport Reservoir Computing
• Disorder correction to the minimal conductance of a nodal-point semimetal
• Fermi energy sensitive universal conductance fluctuations in anisotropic materials
• Non-Adhesive Transfer Process of Carbon Nanotube Forests onto Flexible Kapton Substrates
• Resonant optical gating of suspended carbon nanotube transistor
• Conductance fluctuations in graphene devices with superconducting contacts in different charge density regimes
• Weak localization and universal conductance fluctuations in large area twisted bilayer graphene