Density of States of Disordered Two-Dimensional Crystals with Half-Filled Band

Abstract

A diagrammatic method is applied to study the effects of commensurability in two-dimensional disordered crystalline metals by using the particle-hole symmetry with respect to the nesting vector P_0={\pmπ/a, π/a} for a half-filled electronic band. The density of electronic states (DoS) is shown to have nontrivial quantum corrections due to both nesting and elastic impurity scattering processes, as a result the van Hove singularity is preserved in the center of the band. However, the energy dependence of the DoS is strongly changed. A small offset from the middle of the band gives rise to disappearence of quantum corrections to the DoS .

to be published in Physical Review Letters

References in corpus (1)

• Zero-energy peak of the density of states and localization properties of a one-dimensional Frenkel exciton: Off-diagonal disorder

Cited by in corpus (10)

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• Magnetic and Kohn-Luttinger instabilities near a Van Hove singularity: monolayer versus twisted bilayer graphene
• Nesting symmetries and diffusion in disordered d-wave superconductors
• Unconventional scaling of resistivity in two-dimensional Fermi liquids
• Effect of Substitutional Impurities on the Electronic States and Conductivity of Crystals with Half-filled Band
• Comment on ``Density of States of Disordered Two-Dimensional Crystals with Half-Filled Band''
• Short Range Interaction Effects on the Density of States of Disordered Two Dimensional Crystals with a half--filled band
• Unitary limit and quantum interference effect in disordered two-dimensional crystals with nearly half-filled bands
• Critical behavior of density of states near Fermi energy in low-dimensional disordered metals
• Mesoscopic fluctuations of the Density of States and Conductivity in the middle of the band of Disordered Lattices