• 文献标题:   Dynamical breakdown of parity and time-reversal invariance in the many-body theory of graphene
  • 文献类型:   Article
  • 作  者:   GONZALEZ J
  • 作者关键词:   field theories in lower dimension, renormalization regularization renormalon
  • 出版物名称:   JOURNAL OF HIGH ENERGY PHYSICS
  • ISSN:   1029-8479
  • 通讯作者地址:   CSIC
  • 被引频次:   10
  • DOI:   10.1007/JHEP07(2013)175
  • 出版年:   2013

▎ 摘  要

We show that, at sufficiently large strength of the long-range Coulomb interaction, a mass term breaking parity (so-called Haldane mass) is dynamically generated in the many-body theory of Dirac fermions describing the graphene layer. While the tendency towards chiral symmetry breaking is stronger than for the dynamical breakdown of parity at spatial dimension D > 2, we find that the situation is reversed at D = 2. The need to regularize the many-body theory in a gauge-invariant manner (taking the limit D = 2 - epsilon) is what leads to the dominance of the parity-breaking pattern in graphene. We compute the critical coupling for the generation of a parity-breaking mass from the finite radius of convergence of the ladder series supplemented with electron self-energy corrections, finding a value quite close to the effective interaction strength for graphene in vacuum after including Fermi velocity renormalization and static random-phase approximation (RPA) screening of the Coulomb interaction.