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Short-range interaction effects on the density of states of disordered two-dimensional crystals with a half filled band

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Nakhmedov,  E. P.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Prigodin,  V. N.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Nakhmedov, E. P., & Prigodin, V. N. (2002). Short-range interaction effects on the density of states of disordered two-dimensional crystals with a half filled band. Physical Review B, 65(23): 235107. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000065000023235107000001&idtype=cvips&gifs=yes.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-375B-3
Abstract
The density of electronic states (DOS) of a two-dimensional square lattice with substitutional impurities is calculated in the presence of short-range electron-electron interactions. In the middle of the energy band, the Bragg reflections off the Brillouin zone boundary are shown to lead to additional quantum corrections to the DOS, the sign of which is opposite to the sign of the Altshuler-Aronov logarithmic correction. The resulting quantum correction to the DOS at half-filling is positive; i.e., the DOS increases logarithmically as the Fermi energy is approached. However, far from the commensurate points where the Bragg reflections are suppressed, the negative logarithmic corrections to the DOS survive.