• 文献标题:   Klein tunnelling and Hartman effect in graphene junctions with proximity exchange field
  • 文献类型:   Article
  • 作  者:   TEPPER J, BARNAS J
  • 作者关键词:   graphenebased junction, klein tunnelling, hartman effect, proximity exchange coupling
  • 出版物名称:   JOURNAL OF PHYSICSCONDENSED MATTER
  • ISSN:   0953-8984 EI 1361-648X
  • 通讯作者地址:   Adam Mickiewicz Univ
  • 被引频次:   3
  • DOI:   10.1088/1361-648X/ab0b20
  • 出版年:   2019

▎ 摘  要

Tunnelling of electrons in graphene-based junctions is studied theoretically. Graphene is assumed to be deposited either directly on a ferromagnetic insulator or on a few atomic layers of boron nitride which separate graphene from a metallic ferromagnetic substrate. Such junctions can be formed by appropriate external gating of the corresponding system. To describe low-energy electronic states near the Dirac points, certain effective Hamiltonians available in the relevant literature are used. These Hamiltonians include staggered potential and exchange interaction due to ferromagnetic substrates. Tunnelling in the systems under consideration is then spin-dependent. The main focus is on Klein tunnelling and also on the group delay and the associated Hartman effect. The impact of a gap induced in the spectrum at the Dirac points on tunnelling is analysed in detail.