• 文献标题:   Simple model of Coulomb disorder and screening in graphene
  • 文献类型:   Article
  • 作  者:   SHKLOVSKII BI
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Univ Minnesota
  • 被引频次:   14
  • DOI:   10.1103/PhysRevB.76.233411
  • 出版年:   2007

▎ 摘  要

We suggest a simple model of disorder in graphene assuming that there are randomly distributed positive and negative centers with equal concentration N/2 in the bulk of silicon oxide substrate. We show that at zero gate voltage such disorder creates the two-dimensional concentrations n(0)similar to N(2/3) of electrons and holes in the graphene sample. Electrons and holes reside in alternating in space puddles of the size R(0)similar to N(-1/3). A typical puddle has only one or two carriers in qualitative agreement with the recent scanning single electron transistor experiment.