Chemical-potential flow equations for graphene with Coulomb interactions

Abstract

We calculate the chemical potential dependence of the renormalized Fermi velocity and static dielectric function for Dirac quasiparticles in graphene nonperturbatively at finite temperature. By reinterpreting the chemical potential as a flow parameter in the spirit of the functional renormalization group (fRG) we obtain a set of flow equations, which describe the change of these functions upon varying the chemical potential. In contrast to the fRG the initial condition of the flow is nontrivial and has to be calculated separately. Our results confirm that the charge carrier density dependence of the Fermi velocity is negligible, validating the comparison of the fRG calculation at zero density of Bauer et al., Phys. Rev. B 92, 121409 (2015) with the experiment of Elias et al., Nat. Phys. 7, 701 (2011).

7 pages, 4 figures

References in corpus (13)

• The electronic properties of graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Nonthermal fixed points and the functional renormalization group
• Density dependent exchange contribution to $\partial \mu /\partial n$ in extrinsic graphene
• Coulomb interaction in graphene: Relaxation rates and transport
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Fermi velocity renormalization and dynamical gap generation in graphene
• Renormalization group aspects of graphene
• Non-perturbative renormalization group calculation of the quasi-particle velocity and the dielectric function of graphene
• Keldysh approach to the renormalization group analysis of the disordered electron liquid
• Non-equilibrium time evolution of bosons from the functional renormalization group
• Low-density expansion for the two-dimensional electron gas
• Keldysh functional renormalization group for electronic properties of graphene