Thermodynamic and Tunneling Density of States of the Integer Quantum Hall Critical State

Details Thermodynamic and Tunneling Density of States of the Integer Quantum Hall Critical State Thermodynamic and Tunneling Density of States of the Integer Quantum Hall Critical State

2001-09-26

arxiv.org/abs/cond-mat/0109501v2

Phys. Rev. B65, 041302(R) (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures, minor revisions, published version

Scientific paper

We examine the long wave length 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.

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