• 文献标题:   The Bloch Electron Response to Electric Fields: Application to Graphene
  • 文献类型:   Article
  • 作  者:   IAFRATE G, SOKOLOV V
  • 作者关键词:   bloch electron dynamic, graphene, quantum transport, timedependent homogeneous electric field
  • 出版物名称:   PHYSICA STATUS SOLIDI BBASIC SOLID STATE PHYSICS
  • ISSN:   0370-1972 EI 1521-3951
  • 通讯作者地址:   North Carolina State Univ
  • 被引频次:   0
  • DOI:   10.1002/pssb.201900660
  • 出版年:   2020

▎ 摘  要

The theory of Bloch electron dynamics for carriers in homogeneous electric fields of arbitrary time dependence is developed in consideration of the electronic transport properties in graphene. The general approach is to use the accelerated Bloch state representation (ABR) as a basis so that the dependence upon the electric field, including Zener tunneling, is treated exactly; also, the electric field is described in the vector potential gauge. Within the ABR, the instantaneous eigenstates for the central Hamiltonian are described and utilized to develop both the time-dependent wave functions and the single-particle density matrix pictures with explicit application to intrinsic graphene. The Bloch electron analysis for graphene in a constant electric field reveals the explicit manifestation of electron-hole pair creation, Bloch oscillations, and Wannier-Stark localization. The average velocity and acceleration are established as an explicit function of the electric field, and their behavior is characterized on short and long time scales. Further, it is shown that the average acceleration in a nonvanishing electric field gives rise to an electric field induced dynamical effective mass tensor in the direction of the field.