Density of states in a two-dimensional chiral metal with vacancies.
We study quantum interference effects in a two-dimensional chiral metal (bipartite lattice) with vacancies. We demonstrate that randomly distributed vacancies constitute a peculiar type of chiral disorder leading to strong modifications of critical properties at zero energy as compared to those of conventional chiral metals. In particular, the average density of states diverges as ρ∝E(-1)|lnE|(-3/2) and the correlation length L(c)∝√[|lnE|] in the limit E→0. When the average density of vacancies is different in the two sublattices, a finite concentration of zero modes emerges and a gap in the quasiclassical density of states opens around zero energy. Interference effects smear this gap, resulting in exponentially small tails at low energies.
Max Planck Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany and L. D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia.
P M
PM
Ostrovsky
L. D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia and Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany.
I V
IV
Protopopov
Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany.
E J
EJ
König
Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany and A. F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia.
I V
IV
Gornyi
Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany and Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany and Petersburg Nuclear Physics Institute, 188350 St. Petersburg, Russia.
A D
AD
Mirlin
L. D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia and Moscow Institute of Physics and Technology, 141700 Moscow, Russia and Skolkovo Institute of Science and Technology, 143025 Skolkovo, Russia.
M A
MA
Skvortsov