• 文献标题:   Two-dimensional gas of massless Dirac fermions in graphene
  • 文献类型:   Article
  • 作  者:   NOVOSELOV KS, GEIM AK, MOROZOV SV, JIANG D, KATSNELSON MI, GRIGORIEVA IV, DUBONOS SV, FIRSOV AA
  • 作者关键词:  
  • 出版物名称:   NATURE
  • ISSN:   0028-0836 EI 1476-4687
  • 通讯作者地址:   Univ Manchester
  • 被引频次:   13935
  • DOI:   10.1038/nature04233
  • 出版年:   2005

▎ 摘  要

Quantum electrodynamics ( resulting from the merger of quantum mechanics and relativity theory) has provided a clear understanding of phenomena ranging from particle physics to cosmology and from astrophysics to quantum chemistry(1-3). The ideas underlying quantum electrodynamics also influence the theory of condensed matter(4,5), but quantum relativistic effects are usually minute in the known experimental systems that can be described accurately by the non-relativistic Schrodinger equation. Here we report an experimental study of a condensed-matter system (graphene, a single atomic layer of carbon(6,7)) in which electron transport is essentially governed by Dirac's ( relativistic) equation. The charge carriers in graphene mimic relativistic particles with zero rest mass and have an effective 'speed of light' c* approximate to 10(6) m s(-1). Our study reveals a variety of unusual phenomena that are characteristic of two-dimensional Dirac fermions. In particular we have observed the following: first, graphene's conductivity never falls below a minimum value corresponding to the quantum unit of conductance, even when concentrations of charge carriers tend to zero; second, the integer quantum Hall effect in graphene is anomalous in that it occurs at half-integer filling factors; and third, the cyclotron mass m(c) of massless carriers in graphene is described by E = m(c)c(*)(2). This two-dimensional system is not only interesting in itself but also allows access to the subtle and rich physics of quantum electrodynamics in a bench-top experiment.