• 文献标题:   Conductivity of disordered graphene at half filling
  • 文献类型:   Article, Proceedings Paper
  • 作  者:   OSTROVSKY PM, GORNYI IV, MIRLIN AD
  • 作者关键词:  
  • 出版物名称:   EUROPEAN PHYSICAL JOURNALSPECIAL TOPICS
  • ISSN:   1951-6401
  • 通讯作者地址:   Forschungszentrum Karlsruhe
  • 被引频次:   36
  • DOI:   10.1140/epjst/e2007-00226-4
  • 出版年:   2007

▎ 摘  要

We study electron transport properties of a monoatomic graphite layer ( graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that the localization is ineffective if the randomness preserves one of the chiral symmetries of the clean Hamiltonian or does not mix valleys. We obtain the exact value of minimal conductivity 4e(2)/pi h in the case of chiral disorder. For long-range disorder ( decoupled valleys), we derive the effective field theory. In the case of smooth random potential, it is a symplectic-class sigma-model including a topological term with theta = pi. As a consequence, the system is at a quantum critical point with a universal value of the conductivity of the order of e(2)/h. When the effective time reversal symmetry is broken, the symmetry class becomes unitary, and the conductivity acquires the value characteristic for the quantum Hall transition.