Density of states in a two-dimensional chiral metal with vacancies

Abstract

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 conventional chiral metals. In particular, the average density of states diverges as $\rho \propto E^{-1}|\ln E{|}^{-3/2}$ and the correlation length $L_c\propto \sqrt{|\ln E|}$ in the limit $E\to 0$. 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.

5 pages, 2 figures; updated reference to arXiv:1404.6138

References in corpus (10)

• The electronic properties of graphene
• Classification of topological insulators and superconductors in three spatial dimensions
• Anderson Transitions
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Diffusion and criticality in undoped graphene with resonant scatterers
• Superbosonization of invariant random matrix ensembles
• Metal-insulator transition from combined disorder and interaction effects in Hubbard-like electronic lattice models with random hopping
• Bosonization for disordered and chaotic systems
• Superbosonization formula and its application to random matrix theory
• Anomalous dimensions of operators without derivatives in the non-linear sigma-model for disordered bipartite lattices

Cited by in corpus (11)

• Theory of free fermions under random projective measurements
• Anderson localization and the topology of classifying spaces
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• Anomalous Transport Signatures in Weyl Semimetals with Point Defects
• High-resolution real-space evaluation of the self-energy operator of disordered lattices: Gade singularity, spin-orbit effects and p-wave superconductivity
• Generalized multifractality in 2D disordered systems of chiral symmetry classes
• Nodal vacancy bound states and resonances in three-dimensional Weyl semimetals
• Band-center metal-insulator transition in bond-disordered graphene
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Killing the Hofstadter butterfly, one bond at a time
• Strange metal in the doped Hubbard model via percolation