• 文献标题:   Inhomogeneous magnetic catalysis on graphene's honeycomb lattice
  • 文献类型:   Article
  • 作  者:   ROY B, HERBUT IF
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Simon Fraser Univ
  • 被引频次:   21
  • DOI:   10.1103/PhysRevB.83.195422
  • 出版年:   2011

▎ 摘  要

We investigate the ordering instability of interacting (and for simplicity, spinless) fermions on graphene's honeycomb lattice by numerically computing the Hartree self-consistent solution for the charge-density-wave order parameter in the presence of both uniform and nonuniform magnetic fields. For a uniform field the overall behavior of the order parameter is found to be in accord with the continuum theory. In the inhomogeneous case, the spatial profile of the order parameter resembles qualitatively the form of the magnetic field itself, at least when the interaction is not overly strong. We find that right at the zero-field critical point of the infinite system the local order parameter scales as the square root of the local strength of the magnetic field, apparently independently of the assumed field's profile. The finite-size effects on various parameters of interest, such as the critical interaction and the universal amplitude ratio of the interaction-induced gap to the Landau level energy at criticality, are also addressed.