• 文献标题:   Coulomb interaction at the metal-insulator critical point in graphene
  • 文献类型:   Article
  • 作  者:   JURICIC V, HERBUT IF, SEMENOFF GW
  • 作者关键词:   critical point, exciton, graphene, metalinsulator transition, potential energy function, renormalisation
  • 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:   63
  • DOI:   10.1103/PhysRevB.80.081405
  • 出版年:   2009

▎ 摘  要

We compute the renormalization-group flow of the long-ranged electron-electron interaction at the Gross-Neveu quantum critical point between the semimetal and the excitonic insulator in graphene, perturbatively in the small parameter epsilon=d-1, with d as the spatial dimension. The O(epsilon) correction to the usual beta function makes the long-range interaction only more irrelevant at the critical than at the Gaussian fixed point. A weak long-range tail of the Coulomb interaction is found to be marginally irrelevant also in arbitrary dimension when the number of Dirac fermions is large. Its ultimate irrelevancy notwithstanding, it is shown that the metal-insulator transition may still be induced by increasing only the long-range tail of the Coulomb interaction.