• 文献标题:   SO(8) fermion dynamical symmetry and quantum hall states for graphene in a strong magnetic field
  • 文献类型:   Article, Proceedings Paper
  • 作  者:   GUIDRY M
  • 作者关键词:   graphene, symmetry
  • 出版物名称:   FORTSCHRITTE DER PHYSIKPROGRESS OF PHYSICS
  • ISSN:   0015-8208 EI 1521-3978
  • 通讯作者地址:   Univ Tennessee
  • 被引频次:   1
  • DOI:   10.1002/prop.201600057
  • 出版年:   2017

▎ 摘  要

Strongly-correlated graphene quantum Hall states are described in terms of an SO(8) fermion dynamical symmetry that has pairing as well as particle-hole generators. The SU(4) symmetry of graphene quantum Hall ferromagnetism is recovered as one limit, but the full SO(8) symmetry gives analytical many-body solutions for a rich set of additional states exhibiting spontaneously-broken symmetry. A generalized coherent states solution is obtained that is equivalent to Hartree-Fock-Bogoliubov theory constrained by symmetry, and exhibits the interplay between competing collective degrees of freedom in determining the ground state.