Charge Transport in Weyl Semimetals

Details Charge Transport in Weyl Semimetals Charge Transport in Weyl Semimetals

2011-09-28

arxiv.org/abs/1109.6330v2

Phys. Rev. Lett. 108, 046602 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevLett.108.046602

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.

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