## Abstract

The two dimensional Hubbard model with repulsive interaction is studied in the t-matrix approximation, which is the valid approximation in low electron density. The particle-particle correlation function and the t-matrix are obtained analytically. By use of these analytical results it is shown that the t-matrix and hence the self-energy have no singularities in the upper half plane of the complex energy variable. The phase angle δ(2kF + q, ω), with kF being the Fermi wave vector, in the limit of q=0 and ω = 0 is found to depend strongly on the ratio ω/q and is not always zero. The case of the attractive interaction is also briefly studied.

Original language | English |
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Pages (from-to) | 2013-2030 |

Number of pages | 18 |

Journal | journal of the physical society of japan |

Volume | 60 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jan 1991 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)