• 文献标题:   Magnetoconductance of the Corbino disk in graphene: chiral tunneling and quantum interference in the bilayer case
  • 文献类型:   Article
  • 作  者:   RUT G, RYCERZ A
  • 作者关键词:   graphene, graphene bilayer, magnetoconductance, corbino geometry, quantum transport
  • 出版物名称:   JOURNAL OF PHYSICSCONDENSED MATTER
  • ISSN:   0953-8984 EI 1361-648X
  • 通讯作者地址:   Jagiellonian Univ
  • 被引频次:   3
  • DOI:   10.1088/0953-8984/26/48/485301
  • 出版年:   2014

▎ 摘  要

Quantum transport through an impurity-free Corbino disk in bilayer graphene is investigated analytically, using the mode-matching method to give an effective Dirac equation, in the presence of uniform magnetic fields. Similarly as in the monolayer case (see Rycerz 2010 Phys. Rev. B 81 121404; Katsnelson 2010 Europhys. Lett. 89 17001), conductance at the Dirac point shows oscillations with the flux piercing the disk area Phi(D) characterized by the period Phi(0) = 2 (h/e) ln(R-o/R-i), where R-o (R-i) is the outer (inner) disk radius. The oscillation magnitude depends either on the radii ratio or on the physical disk size, with the condition for maximal oscillations being R-o/R-i similar or equal to [R(i)t(perpendicular to)/(2hv(F))](4/p) (for R-o/R-i >> 1), where t(perpendicular to) is the interlayer hopping integral, v(F) is the Fermi velocity in graphene, and p is an even integer. Odd-integer values of p correspond to vanishing oscillations for the normal Corbino setup, or to oscillation frequency doubling for the Andreev-Corbino setup. At higher Landau levels, magnetoconductance behaves almost identically in the monolayer and bilayer cases. A brief comparison with the Corbino disk in a two-dimensional electron gas is also provided in order to illustrate the role of chiral tunneling in graphene.