• 文献标题:   Bloch's Band Structures of a Pair of Interacting Electrons in Graphene
  • 文献类型:   Article
  • 作  者:   GU JF, HU JS, ZHANG WY
  • 作者关键词:  
  • 出版物名称:   JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
  • ISSN:   0031-9015
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.7566/JPSJ.90.104702
  • 出版年:   2021

▎ 摘  要

The band structures of a pair of interacting electrons in graphene have been computed by imposing the exact Bloch's theorem to two-electron system. The electronic spectra consists of the binding bands and unbinding continuum states of two electrons. When both intra-site and the nearest neighbor inter-site interactions are accounted for, five and three binding bands are obtained for spin singlet and spin triplet states, respectively. More interestingly, we find exactly the same Dirac cones at the Brillouin zone corners in both intra- and inter-site binding bands. The effective hopping is mainly determined by exchange-correlation for intra-site binding bands and by the second order hopping term for intersite binding bands. The binding bands can be either above or below the unbinding continuum states for repulsive or attractive interaction.