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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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to be published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.84.3930

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={\pm{\pi}/a, {\pi}/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 .

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