Electrical Conductivity of Interacting Fermions(2)Effects of Normal Scattering Processes in the Presence of Umklapp Scattering Processes
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- Maebashi Hideaki
- Department of Physics, Faculty of Science, University of Tokyo, 7–3–1 Hongo, Bunkyo–ku, Tokyo 113
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- Fukuyama Hidetoshi
- Department of Physics, Faculty of Science, University of Tokyo, 7–3–1 Hongo, Bunkyo–ku, Tokyo 113
書誌事項
- タイトル別名
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- Electrical Conductivity of Interacting Fermions. II. Effects of Normal Scattering Processes in the Presence of Umklapp Scattering Processes.
- Electrical Conductivity of Interacting
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説明
The electrical resistivity due only to mutual Coulomb interactionof the d-dimensional lattice electron systems (d≥ 2)in the presence of Umklapp scattering processesis studied on the basis of the Fermi liquid theory.It is shown that normal scattering processes generally contribute to the resistivity if Umklapp scattering processes are present.This fact gives a natural explanationof the resistivity of the d=∞ Hubbard modelwhich is determined only bythe damping rate of quasi-particles, γ.In the case of d=2, however, it is shown that the resistivityis proportional to T2, T being the temperature, even when normal scattering processes, which give T2 log T-contribution to γ, contribute to the resistivity.In the special case of the square lattice, where the transfer integrals are only between the nearest neighbors, the coefficient of the T2-term in the second order of the interaction is shown to diverge as (1/δ ) log (1 / δ ) when δ → 0, δ being the doping rate away from half-filling.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 67 (1), 242-251, 1998
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390001204181933056
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- NII論文ID
- 210000100983
- 110001978253
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1998JPSJ...67..242M
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 4395708
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- en
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