### 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.

Original language | English |
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Article number | 041302 |

Pages (from-to) | 413021-413024 |

Number of pages | 4 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 65 |

Issue number | 4 |

Publication status | Published - 2002 Jan 15 |

### ASJC Scopus subject areas

- Condensed Matter Physics

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## Cite this

Yang, S. R., Wang, Z., & MacDonald, A. H. (2002). Thermodynamic and tunneling density of states of the integer quantum Hall critical state.

*Physical Review B - Condensed Matter and Materials Physics*,*65*(4), 413021-413024. [041302].