### Abstract

We investigate the response of a two-dimensional electron gas, in the fractional quantum Hall regime, to the sudden appearance of a localized charged probe using the Chern-Simons theory of composite fermions. The dynamic structure factor of the electron gas is found to have a major influence on the spectral function of the probe. In particular, there is an orthogonality catastrophe when the filling factor is an even-denominator filling fraction due to the compressibility of the state, but there is no catastrophe at odd-denominator filling factors because these states have a gap to excitations. The catastrophe is found to be more severe for composite fermions in zero effective magnetic field than it is for electrons in zero real magnetic field. Oscillations in the spectral function, arising when the composite fermions are at integer filling, have a period equal to the composite fermion cyclotron energy. We propose a tunneling experiment which directly measures the spectral function from which one could determine the composite fermion effective mass.

Original language | English (US) |
---|---|

Pages (from-to) | 15468-15482 |

Number of pages | 15 |

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

Volume | 58 |

Issue number | 23 |

State | Published - Dec 15 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

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

*58*(23), 15468-15482.

**Dynamical properties of a two-dimensional electron gas in a magnetic field within the composite fermion model.** / Leonard, D. J T; Johnson, Neil F.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 58, no. 23, pp. 15468-15482.

}

TY - JOUR

T1 - Dynamical properties of a two-dimensional electron gas in a magnetic field within the composite fermion model

AU - Leonard, D. J T

AU - Johnson, Neil F

PY - 1998/12/15

Y1 - 1998/12/15

N2 - We investigate the response of a two-dimensional electron gas, in the fractional quantum Hall regime, to the sudden appearance of a localized charged probe using the Chern-Simons theory of composite fermions. The dynamic structure factor of the electron gas is found to have a major influence on the spectral function of the probe. In particular, there is an orthogonality catastrophe when the filling factor is an even-denominator filling fraction due to the compressibility of the state, but there is no catastrophe at odd-denominator filling factors because these states have a gap to excitations. The catastrophe is found to be more severe for composite fermions in zero effective magnetic field than it is for electrons in zero real magnetic field. Oscillations in the spectral function, arising when the composite fermions are at integer filling, have a period equal to the composite fermion cyclotron energy. We propose a tunneling experiment which directly measures the spectral function from which one could determine the composite fermion effective mass.

AB - We investigate the response of a two-dimensional electron gas, in the fractional quantum Hall regime, to the sudden appearance of a localized charged probe using the Chern-Simons theory of composite fermions. The dynamic structure factor of the electron gas is found to have a major influence on the spectral function of the probe. In particular, there is an orthogonality catastrophe when the filling factor is an even-denominator filling fraction due to the compressibility of the state, but there is no catastrophe at odd-denominator filling factors because these states have a gap to excitations. The catastrophe is found to be more severe for composite fermions in zero effective magnetic field than it is for electrons in zero real magnetic field. Oscillations in the spectral function, arising when the composite fermions are at integer filling, have a period equal to the composite fermion cyclotron energy. We propose a tunneling experiment which directly measures the spectral function from which one could determine the composite fermion effective mass.

UR - http://www.scopus.com/inward/record.url?scp=0542447495&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0542447495&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0542447495

VL - 58

SP - 15468

EP - 15482

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 23

ER -