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Optical conductivity of an interacting Weyl liquid in the collisionless regime

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Roy,  Bitan
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Roy, B., & Juricic, V. (2017). Optical conductivity of an interacting Weyl liquid in the collisionless regime. Physical Review B, 96(15): 155117. doi:10.1103/PhysRevB.96.155117.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002E-89F9-A
Abstract
Optical conductivity (OC) can serve as a measure of correlation effects in a wide range of condensed-matter systems. We show that the long-range tail of the Coulomb interaction yields a universal correction to the OC in a three-dimensional Weyl semimetal sigma(Omega) = sigma(0)(Omega)[1 + 1/N+1], where sigma(0)(Omega) = Ne-0(2)Omega/(12hv) is the OC in the noninteracting system, with v as the actual (renormalized) Fermi velocity of Weyl quasiparticles at frequency Omega, and e(0) is the electron charge in vacuum. Such universal enhancement of OC, which depends only on the number of Weyl nodes near the Fermi level (N), is a remarkable consequence of an intriguing conspiracy among the quantum-critical nature of an interacting Weyl liquid, marginal irrelevance of the long-range Coulomb interaction, and violation of hyperscaling in three dimensions, and can directly be measured in recently discovered Weyl as well as Dirac materials. By contrast, a local density-density interaction produces a nonuniversal correction to the OC, stemming from the nonrenormalizable nature of the corresponding interacting field theory.