• 文献标题:   Quantum critical transport in clean graphene
  • 文献类型:   Article
  • 作  者:   FRITZ L, SCHMALIAN J, MULLER M, SACHDEV S
  • 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:   Harvard Univ
  • 被引频次:   180
  • DOI:   10.1103/PhysRevB.78.085416
  • 出版年:   2008

▎ 摘  要

We describe electrical transport in ideal single-layer graphene at zero applied gate voltage. There is a crossover from collisionless transport at frequencies larger than k(B)T/(h) over bar (T is the temperature) to collision-dominated transport at lower frequencies. The dc conductivity is computed by the solution of a quantum Boltzmann equation. Due to a logarithmic singularity in the collinear scattering amplitude (a consequence of relativistic dispersion in two dimensions), quasiparticles and quasiholes moving in the same direction tend to an effective equilibrium distribution whose parameters depend on the direction of motion. This property allows us to find the nonequilibrium distribution functions and the quantum critical conductivity exactly to leading order in 1/vertical bar ln(alpha)vertical bar, where alpha is the coupling constant characterizing the Coulomb interactions.