• 文献标题:   Quantum corrected hydrodynamic models for charge transport in graphene
  • 文献类型:   Article
  • 作  者:   LUCA L, ROMANO V
  • 作者关键词:   graphene, low dimensional structure, quantum transport, quantum hydrodynamic model
  • 出版物名称:   ANNALS OF PHYSICS
  • ISSN:   0003-4916 EI 1096-035X
  • 通讯作者地址:   Univ Catania
  • 被引频次:   6
  • DOI:   10.1016/j.aop.2019.03.018
  • 出版年:   2019

▎ 摘  要

A quantum hydrodynamic model for charge transport in graphene is derived from a moment expansion of the Wigner-Boltzmann equation. The needed closure relations are obtained by adding quantum corrections based on the equilibrium Wigner function to the semiclassical model formulated in Camiola and Romano (2014) and Luca and Romano (2018) [2,3] by exploiting the Maximum Entropy Principle. The expression of the equilibrium Wigner function which takes into account the energy band of graphene has been obtained by solving the corresponding Bloch equation. (C) 2019 Elsevier Inc. All rights reserved.