Quantum Critical Transport in Clean Graphene
By L. Fritz, J. Schmalian, Markus P. Mueller, S. Sachdev. 2008
243 citations recorded by the source corpus.
We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than kBT/~ (T is the temperature) to collision-dominated transport at lower frequencies. The d.c. conductivity is computed by the solution of a quantum Boltzmann equation. Due to a logarithmic singularity in the collinear scattering amplitude (a consequence of relativistic dispersion in two dimensions) quasi-particles and -holes moving in the same direction tend to an effective equilibrium distribution whose parameters depend on the direction of motion. This property allows us to find the non-equilibrium distribution
Subfields: Biomedical Engineering, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/148edc8b764700c2c7a8526fbc4b6ace35a4d732
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Citations in the corpus
- Recent developments in transport phenomena in Weyl semimetals (2013, background): “[9]) and 3D Dirac semimetals (Goswami and Chakravarty [12]), actually exhibit a phenomenon that neither metals nor insulators do – DC transport driven by Coulomb interactions between electrons alone, even in a clean system.”
- Electron viscosity, current vortices and negative nonlocal resistance in graphene (2015, background): “[10–12] Electron interactions in graphene are strengthened near charge neutrality (CN) due to the lack of screening at low carrier densities.[12, 24] As a result, carrier collisions are expected to dominate transport in pristine graphene in a wide range of temperatures and dopings.”
- Approaching ballistic transport in suspended graphene. (2008, background): “The linear T dependence cannot be understood within existing theoretical model”
- Weyl and Dirac semimetals in three-dimensional solids (2017, background): “But in Dirac systems, due to particle-hole symmetry there can be current carrying states with zero total momentum (Fritz et al., 2008; Goswami and Chakravarty, 2011).”
- Holographic Quantum Matter (2016, background): “It was argued in [271; 565; 567] that breakdown of screening near the Dirac point should lead to strange metal behavior which can be described by relativistic hydrodynamics in the presence of weak disorder.”
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene (2015, background): “An electric field drives electrons and holes in opposite directions; collisions between them introduce a frictional dissipation, resulting in a finite conductivity even in the absence of disorder [24].”
- Lectures on holographic methods for condensed matter physics (2009, background): “In a real-life system, effects outside of a simple hydrodynamic approach, such as impurities or long-range Coulomb interactions, will typically become important before the logarithmic divergence kicks in [54].”
- Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene (2015, background): “Furthermore, it has been shown [25] that strongly interacting quantum critical fluids have a somewhat different hydrodynamic description than the canonical Fermi liquids described above, and this can lead to very different hydrodynamic properties, including in transport [25, 19, 20, 26, 27, 28, 29],”
- Electronic transport in two-dimensional graphene (2010, methodology): “different universal results have been predicted (Aleiner and Efetov, 2006; Altland, 2006; Bardarson et al., 2007; Fradkin, 1986; Fritz et al., 2008; Kashuba, 2008; Ludwig et al., 1994; Peres et al., 2006; Tworzyd lo et al., 2006)”