Berlin 2018 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 50: HL Poster IV

HL 50.3: Poster

Thursday, March 15, 2018, 19:00–21:00, Poster B

Functional renormalization group approach to interacting three-dimensional Weyl semimetals — Anand Sharma, •Arthur Scammell, Jan Krieg, and Peter Kopietz — ITP Goethe Universität, Frankfurt am Main, Deutschland

We study quasiparticle properties due to long-range Coulomb interaction in clean threedimensional Weyl semimetals using a functional renormalization group (FRG) approach. The Coulomb interaction is represented via a bosonic Hubbard-Stratonovich field which couples to the fermionic density. We derive truncated FRG flow equations for the fermionic and bosonic self-energies and for the three-legged vertex with two fermionic and one bosonic external leg. We consider two different cutoff schemes - cutoff in fermionic or bosonic propagators - in order to calculate the renormalized quasiparticle velocity and the dielectric function for varying number of Weyl nodes, charge neutrality points with nondegenerate chiralities, and the bare effective dimensionless interaction strength. If we approximate the dielectric function by its static limit, our results for the velocity and dielectric function are in good agreement with the nonperturbative method of Abrikosov and Beneslavskii [Sov. Phys. JETP 32, 699 (1971)] which exhibits slowly varying logarithmic divergence for small momenta. Moreover, we extend their result for any given number of nodes and finite frequency by evaluating the renormalized velocity in the presence of dynamic screening and calculate the wavefunction renormalization factor.