• 文献标题:   Nonperturbative renormalization group calculation of quasiparticle velocity and dielectric function of graphene
  • 文献类型:   Article
  • 作  者:   BAUER C, RUCKRIEGEL A, SHARMA A, KOPIETZ P
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121 EI 1550-235X
  • 通讯作者地址:   Goethe Univ Frankfurt
  • 被引频次:   14
  • DOI:   10.1103/PhysRevB.92.121409
  • 出版年:   2015

▎ 摘  要

Using a nonperturbative functional renormalization group approach, we calculate the renormalized quasi-particle velocity v(k) and the static dielectric function epsilon(k) of suspended graphene as functions of an external momentum k. Our numerical result for v(k) can be fitted by v(k)/v(F) = A + B ln(Lambda(0)/k), where v(F) is the bare Fermi velocity, Lambda(0) is an ultraviolet cutoff, and A = 1.37, B = 0.51 for the physically relevant value (e(2)/v(F) = 2.2) of the coupling constant. In contrast to calculations based on the static random-phase approximation, we find that epsilon(k) approaches unity for k -> 0. Our result for v(k) agrees very well with a recent measurement by Elias et al. [Nat. Phys. 7, 701 (2011)].