• 文献标题:   Chiral Bloch states in single-layer graphene with Rashba spin-orbit coupling: Equilibrium spin current
  • 文献类型:   Article
  • 作  者:   AVISHAI Y, BAND YB
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.1103/PhysRevB.104.075414
  • 出版年:   2021

▎ 摘  要

Focusing on equilibrium spin current density tensor, we analyze the spin physics of electrons in single layer graphene subject to a one-dimensional periodic Kronig-Penney potential u(x) and uniform Rashba spin-orbit coupling of strength lambda. The combination of Dirac theory of massless two-dimensional electrons, Klein paradox, spin-orbit coupling, and the Bloch theorem yields peculiar features relevant to graphene spintronics. For transverse wave number k(y) = 0, we show that: (1) The charge current and the spin density vector vanish. (2) Yet, the components J(xy), J(yx), J(zy) of the equilibrium spin current density tensor are finite, oscillating in space, with amplitudes that increase quadratically for small lambda and then linearly with lambda. Quite remarkably, J(zy) (x) not equal 0, that is, the spin is polarized along z, perpendicular to the graphene plane. (3) Due to the continuity equation, the space dependence of the spin current density J(yx) (x) is associated with a finite spin torque density T-y (x) =partial derivative J(yx) (x)/partial derivative x.