• 文献标题:   SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
  • 文献类型:   Article
  • 作  者:   HERBUT IF
  • 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:   Simon Fraser Univ
  • 被引频次:   65
  • DOI:   10.1103/PhysRevB.76.085432
  • 出版年:   2007

▎ 摘  要

I consider the Hubbard model of graphene in an external magnetic field and in the Hartree-Fock approximation. In the continuum limit, the ground-state energy at half filling becomes nearly symmetric under rotations of the three-component vector Delta=(N-1,N-2,m), with the first two components representing the Neel order parameter orthogonal to and the third component the magnetization parallel with the external magnetic field. When the symmetry breaking effects arising from the lattice, Zeeman coupling, and higher Landau levels are included the system develops a quantum critical point at which the antiferromagnetic order disappears and the magnetization has a kink. The observed incompressible states at filling factors +/- 1 are argued to arise due to a finite third component of the Neel order parameter at these electron densities. Recent experiments appear consistent with N-1=N-2=0 and N-3 not equal 0, at the filling factors zero and one, respectively.