### Abstract

We give a semiquantitative model for the density of states and transport properties of an electron in a system of randomly located hard-core scatterers. Our main results are these: (a) The density of states has the usual square-root behavior for high energies and a tail of localized states at the low-energy end; the energy at which the transition occurs is computed from percolation theory. (b) For a fixed temperature the fraction of electrons in localized states increases drastically with the density of scatterers above a critical density. Thus, our model provides a physical explanation for the mobility transition found by Neustadter and Coopersmith.

Original language | English (US) |
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Pages (from-to) | 807-810 |

Number of pages | 4 |

Journal | Physical review letters |

Volume | 25 |

Issue number | 12 |

DOIs | |

State | Published - Jan 1 1970 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cite this

Eggarter, T. P., & Cohen, M. H. (1970). Simple model for density of states and mobility of an electron in a gas of hard-core scatterers.

*Physical review letters*,*25*(12), 807-810. https://doi.org/10.1103/PhysRevLett.25.807