### 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 |
---|---|

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 |

### Fingerprint

### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*65*(4), 413021-413024. [041302].

**Thermodynamic and tunneling density of states of the integer quantum Hall critical state.** / Yang, Sung Ryul; Wang, Ziqiang; MacDonald, A. H.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 65, no. 4, 041302, pp. 413021-413024.

}

TY - JOUR

T1 - Thermodynamic and tunneling density of states of the integer quantum Hall critical state

AU - Yang, Sung Ryul

AU - Wang, Ziqiang

AU - MacDonald, A. H.

PY - 2002/1/15

Y1 - 2002/1/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037081482&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037081482&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037081482

VL - 65

SP - 413021

EP - 413024

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 4

M1 - 041302

ER -