Non-Ergodicity & Microscopic Symmetry Breaking of the Conductance Fluctuations in Disordered Mesoscopic Graphene
arXiv:1203.6385 · doi:10.1103/PhysRevB.86.161405
Abstract
We show a dramatic deviation from ergodicity for the conductance fluctuations in graphene. In marked contrast to the ergodicity of dirty metals, fluctuations generated by varying magnetic field are shown to be much smaller than those obtained when sweeping Fermi energy. They also exhibit a strongly anisotropic response to the symmetry-breaking effects of a magnetic field, when applied perpendicular or parallel to the graphene plane. These results reveal a complex picture of quantum interference in graphene, whose description appears more challenging than for conventional mesoscopic systems.
arXiv commentRevised version published in Physical Review B, Rapid Communications
References in corpus (46)
- Electric Field Effect in Atomically Thin Carbon Films
- 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
- Chiral tunneling and the Klein paradox in graphene
- Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
- Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
- Charged Impurity Scattering in Graphene
- A self-consistent theory for graphene transport
- Bipolar supercurrent in graphene
- Quantum interference and Klein tunneling in graphene heterojunctions
- Weak localisation magnetoresistance and valley symmetry in graphene
- Strong suppression of weak (anti)localization in graphene
- Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
- Evidence of Klein tunneling in graphene p-n junctions
- Current-induced cleaning of graphene
- Weak localisation in graphene flakes
- Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
- Weak antilocalization in epitaxial graphene: evidence for chiral electrons
- Aharonov-Bohm effect in graphene
- Shot Noise in Ballistic Graphene
- Anisotropic spin relaxation in graphene
- The environment of graphene probed by electrostatic force microscopy
- Anomalously large conductance fluctuations in weakly disordered graphene
- Magneto-transport in Disordered Graphene: from Weak Localization to Strong Localization
- Evolution of Microscopic Localization in Graphene in a Magnetic Field from Scattering Resonances to Quantum Dots
- Shot Noise in Graphene
- Inelastic scattering in a monolayer graphene sheet; a weak-localization study
- Spin States in Graphene Quantum Dots
- Effect of Spatial Charge Inhomogeneity on 1/f Noise Behavior in Graphene
- Resistance noise in electrically biased bilayer graphene
- Mesoscopic conductance fluctuations in graphene samples
- Quantum kinetic equation and universal conductance fluctuations in graphene
- Magnetoresistance in Single Layer Graphene: Weak Localization and Universal Conductance Fluctuation Studies
- Universal conductance fluctuations in Dirac materials in the presence of long-range disorder
- Spin-resolved Quantum Interference in Graphene
- Suppression of conductance fluctuation in weakly disordered mesoscopic graphene samples near the charge neutral point
- Mesoscopic conductance fluctuations in graphene
- Conductance fluctuations and field asymmetry of rectification in graphene
- Correlation between resistance fluctuations and temperature dependence of conductivity in graphene
- Imaging charge density fluctuations in graphene using Coulomb blockade spectroscopy
- Imaging coherent transport in graphene (Part II): Probing weak localization
- Quantum transport thermometry for electrons in graphene
- Phase coherent transport in a side-gated mesoscopic graphite wire
- Probing Charging and Localization in the Quantum Hall Regime by Graphene pnp Junctions
- Transport Detection of Quantum Hall Fluctuations in Graphene
Cited by in corpus (7)
- Experimental evidence for direct insulator-quantum Hall transition in multi-layer graphene
- Quantum Interference Noise Near the Dirac Point in Graphene
- Relationship between conductance fluctuation and weak localization in graphene
- Temperature dependence of universal conductance fluctuation due to development of weak localization in graphene
- Remote Mesoscopic Signatures of Induced Magnetic Texture in Graphene
- Universal Conductance Fluctuations of Topological Insulators
- Disorder correction to the minimal conductance of a nodal-point semimetal