Density of States in a TwoDimensional Chiral Metal with Vacancies
Abstract
We study quantum interference effects in a twodimensional 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}ln E ^{3 /2} and the correlation length L_{c}∝√{ln E  } 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.
 Publication:

Physical Review Letters
 Pub Date:
 October 2014
 DOI:
 10.1103/PhysRevLett.113.186803
 arXiv:
 arXiv:1404.6139
 Bibcode:
 2014PhRvL.113r6803O
 Keywords:

 73.22.Pr;
 71.23.k;
 72.80.Vp;
 Electronic structure of disordered solids;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 5 pages, 2 figures