• 文献标题:   Zeeman coupling and screening corrections to skyrmion excitations in graphene
  • 文献类型:   Article
  • 作  者:   LUO WC, COTE R
  • 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:   Univ Sherbrooke
  • 被引频次:   10
  • DOI:   10.1103/PhysRevB.88.115417
  • 出版年:   2013

▎ 摘  要

At half-filling of the fourfold degenerate Landau levels vertical bar n vertical bar >= 1 in graphene, the ground states are spin-polarized quantum Hall states that support spin skyrmion excitations for vertical bar n vertical bar = 1,2,3. Working in the Hartree-Fock approximation, we compute the excitation energy of an unbound spin skyrmion-antiskyrmion excitation as a function of the Zeeman coupling strength for these Landau levels. We find for both the bare and screened Coulomb interactions that the spin skyrmion-antiskyrmion excitation energy is lower than the excitation energy of an unbound spin-1/2 electron-hole pair in a finite range of Zeeman coupling in Landau levels vertical bar n vertical bar = 1,2,3. This range decreases rapidly for increasing Landau level index and is extremely small for vertical bar n vertical bar = 3. For valley skyrmions, which should be present at 1/4 and 3/4 fillings of the Landau levels vertical bar n vertical bar = 1,2,3, we show that screening corrections are more important in the latter case. It follows that an unbound valley skyrmion-antiskyrmion excitation has lower energy at 3/4 filling than at 1/4. We compare our results with recent experiments on spin and valley skyrmion excitations in graphene.