Abstract
We examine the long wavelength limit of the self-consistent Hartree-Fock approximation irreducible static density-density response function by evaluating the charge induced by an external charge. Our results are consistent with the compressibility sum rule and inconsistent with earlier work that did not account for consistency between the exchange local field and the disorder potential. We conclude that the thermodynamic density of states is finite, in spite of the vanishing tunneling density of states at the critical energy of the integer quantum Hall transition.
- Received 27 June 2001
DOI:https://doi.org/10.1103/PhysRevB.65.041302
©2001 American Physical Society