Premium
Tails of the density of states of two‐dimensional Dirac fermions
Author(s) -
VillainGuillot S.,
Jug G.,
Ziegler K.
Publication year - 2000
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(200001)9:1<27::aid-andp27>3.0.co;2-i
Subject(s) - physics , vortex , phase diagram , perturbation theory (quantum mechanics) , superconductivity , fermion , phase transition , condensed matter physics , dirac fermion , action (physics) , statistical physics , quantum mechanics , phase (matter) , thermodynamics
The density of states of Dirac fermions with a random mass on a two‐dimensional lattice is considered. We give the explicit asymptotic form of the single‐electron density of states as a function of both energy and (average) Dirac mass, in the regime where all states are localized. We make use of a weak‐disorder expansion in the parameter g/m 2 , where g is the strength of disorder and m the average Dirac mass for the case in which the evaluation of the (supersymmetric) integrals corresponds to non‐uniform solutions of the saddle point equation. The resulting density of states has tails which deviate from the typical pure Gaussian form by an analytic prefactor.