Charge Transport in Weyl Semimetals

Abstract

We study transport in three dimensional Weyl semimetals with N isotropic Weyl nodes in the presence of Coulomb interactions or disorder at temperature T. In the interacting clean limit, we determine the conductivity by solving a quantum Boltzmann equation within a `leading log' approximation and find it to be proportional to T, upto logarithmic factors arising from the flow of couplings. In the noninteracting disordered case, we compute the finite-frequency Kubo conductivity and show that it exhibits distinct behaviors for omega << T and omega >> T: in the former regime we recover the results of a previous analysis, of a finite conductivity and a Drude width that vanishes as NT^2; in the latter, we find a conductivity that vanishes linearly with omega whose leading contribution as T -> 0 is the same as that of the clean, non-interacting system sigma(omega, T=0) = N(e^2/12h)(|omega|/v_F). We compare our results to experimental data on Y2Ir2O7 and also comment on the possible relevance to recent transport data on Eu2Ir2O7.

5 pages, 2 figures in main text; 5 pages, 3 figures in supplementary material. Parts of main text moved to supplementary material

References in corpus (2)

• Quantum critical transport in clean graphene
• Conductivity of the defectless Graphene

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• Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals
• Unusual spin dynamics in topological insulators
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• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
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• Charge density wave and Weyl Semimetal phase in Y${}_2$Ir${}_2$O${}_7$
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• Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
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• No Net Charge Separation in Hot QCD in a Magnetic Field
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