• 文献标题:   Density of States in Graphene with Vacancies: Midgap Power Law and Frozen Multifractality
  • 文献类型:   Article
  • 作  者:   HAFNER V, SCHINDLER J, WEIK N, MAYER T, BALAKRISHNAN S, NARAYANAN R, BERA S, EVERS F
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW LETTERS
  • ISSN:   0031-9007 EI 1079-7114
  • 通讯作者地址:   Inst Neel
  • 被引频次:   14
  • DOI:   10.1103/PhysRevLett.113.186802
  • 出版年:   2014

▎ 摘  要

The density of states rho(E) of graphene is investigated numerically and within the self-consistent T-matrix approximation in the presence of vacancies within the tight binding model. The focus is on compensated disorder, where the concentration of vacancies n(A) and n(B) in both sublattices is the same. Formally, this model belongs to the chiral symmetry class BDI. The nonlinear sigma model predicts for BDI a Gade-type singularity rho(E) similar to vertical bar E vertical bar(-1) exp[-vertical bar log(E)vertical bar(-1/x)]. Our numerical data are comparable to this result in a preasymptotic regime that gives way, however, at even lower energies to rho(E) similar to E-1 vertical bar log(E) vertical bar(-(x) over tilde), 1