Quantum-critical relativistic magnetotransport in graphene

By Markus P. Mueller, L. Fritz, S. Sachdev. 2008

133 citations recorded by the source corpus.

We study the thermal and electric transport of a fluid of interacting Dirac fermions using a Boltzmann approach. We include Coulomb interactions, a dilute density of charged impurities, and the presence of a magnetic field to describe both the static and the low-frequency response as a function of temperature T and chemical potential . In the quantum-critical regime T we find pronounced deviations from Fermi-liquid behavior, such as a collective cyclotron resonance with an intrinsic collision-broadened width and significant enhancements of the Mott and Wiedemann-Franz ratios. Some of these results have been anticipated by a relativistic hydrodynamic theory, whose precise range of validity and failure at large fields and frequencies we determine. The Boltzmann approach allows us to go beyond the hydrodynamic regime and to quantitatively describe the deviations from magnetohydrodynamics and the crossover to disorder-dominated Fermi-liquid behavior at large doping and low temperatures, as well as the crossover to the ballistic regime at high fields. Finally, we obtain the full frequency and doping dependence of the single universal conductivity Q which parametrizes the hydrodynamic response.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/e66ab1de23f32c30f9cbd4b3265c9a534aa2acae

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Holographic Quantum Critical Transport without Self-Duality (2010, unknown): “d, the AdS/CFT perspective appears to be the natural explanation for this weak frequency dependence. Graphene also has characteristics of a quantum-critical system with moderately strong interactions [15], and its conductivity has been measured [16, 17] in the optical regime where !˛T; a frequency-i”
Lectures on holographic superfluidity and superconductivity (2009, background): “[29] for a proposal to search for this resonance in clean samples of graphene.”
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.”
Lectures on holographic methods for condensed matter physics (2009, background): “A qualitatively similar plot was obtained recently in a weakly coupled microscopic description of graphene [98].”
Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene (2015, methodology): “more pronounced peak but also a narrower density dependence, as predicted [5, 6].”
Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene (2015, methodology): “Despite this, graphene shares many features with a truly relativistic plasma with “speed of light” vF, including a “quantum critical” diffusive conductivity σq [26].”
Electronic transport in two-dimensional graphene (2010, background): “tant in determining graphene transport properties near the charge neutral Dirac point (Bistritzer and MacDonald, 2009; Fritz et al., 2008; Kashuba, 2008; Müller et al., 2008).”