Two-dimensional Hubbard model in low electron density limit

Osamu Narikiyo, Yasumasa Hasegawa, Hidetoshi Fukuyama

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

The two dimensional Hubbard model with repulsive interaction is studied in the tz.sbnd;matrixapproximation. At T = 0 the particle-particle correlation function and the tz.sbnd;matrix are obtained analytically so that it is shown that the tz.sbnd;matrix and hence the self-energy have no singularities in the upper half phase of the complex energy variable. The phase angle of the tz.sbnd;matrix δ(2kF+q,ω), in the limit q→0 and ω→0, is found to depend on the ratio ω/q and is not always zero. This non-vanishing phase angle results in the logarithmic correction to the imaginary part of the self-energy as ImΣ(kF,ε{lunate}) ∝ ε{lunate}2 lm |ε{lunate}|. However, the renormalization factor Z is finite at the Fermi surface suggesting that the stability of the Fermi liquid state at least within the conventional perturbation theory. The case of the attractive interaction has also been studied and the crossover from the Cooper pairing to the real-space pairing is indicated.

本文言語英語
ページ(範囲)1537-1538
ページ数2
ジャーナルPhysica C: Superconductivity and its applications
185-189
PART 3
DOI
出版ステータス出版済み - 12 1 1991
外部発表はい

All Science Journal Classification (ASJC) codes

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学
  • エネルギー工学および電力技術
  • 電子工学および電気工学

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