• 文献标题:   Theory and Computation of Hall Scattering Factor in Graphene
  • 文献类型:   Article
  • 作  者:   MACHEDA F, PONCE S, GIUSTINO F, BONINI N
  • 作者关键词:   hall effect, hall scattering factor, graphene, electronphonon coupling, electronic transport
  • 出版物名称:   NANO LETTERS
  • ISSN:   1530-6984 EI 1530-6992
  • 通讯作者地址:   Kings Coll London
  • 被引频次:   0
  • DOI:   10.1021/acs.nanolett.0c03874
  • 出版年:   2020

▎ 摘  要

The Hall scattering factor, r, is a key quantity for establishing carrier concentration and drift mobility from Hall measurements; in experiments, it is usually assumed to be 1. In this paper, we use a combination of analytical and ab initio modeling to determine r in graphene. Although at high carrier densities r approximate to 1 in a wide temperature range, at low doping the temperature dependence of r is very strong with values as high as 4 below 300 K. These high values are due to the linear bands around the Dirac cone and the carrier scattering rates due to acoustic phonons. At higher temperatures, r can instead become as low as 0.5 due to the contribution of both holes and electrons and the role of optical phonons. Finally, we provide a simple analytical model to compute accurately r in graphene in a wide range of temperatures and carrier densities.