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Two-loop renormalization group theory for the quasi-one-dimensional Hubbard model at half filling
http://hdl.handle.net/2237/7151
http://hdl.handle.net/2237/715171285ecb-204b-4c35-be21-5665b1a3be39
名前 / ファイル | ライセンス | アクション |
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PhysRevB_74_155109.pdf (581.3 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2006-11-30 | |||||
タイトル | ||||||
タイトル | Two-loop renormalization group theory for the quasi-one-dimensional Hubbard model at half filling | |||||
言語 | en | |||||
著者 |
Tsuchiizu, M.
× Tsuchiizu, M. |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | Copyright: American Physical Society, All rights reserved. | |||||
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内容記述タイプ | Abstract | |||||
内容記述 | We derive two-loop renormalization group equations for the half filled one-dimensional Hubbard chains coupled by the interchain hopping. Our renormalization group scheme for the quasi-one-dimensional electron system is a natural extension of that for the purely one-dimensional systems in the sense that transversemomentum dependences are introduced in the g-ological coupling constants and we regard the transverse momentum as a patch index. We develop symmetry arguments for the particle-hole symmetric half filled Hubbard model and obtain constraints on the g-ological coupling constants by which resultant renormalization equations are given in a compact form. By solving the renormalization group equations numerically, we estimate the magnitude of excitation gaps and clarify that the charge gap is suppressed due to the interchain hopping but is always finite even for the relevant interchain hopping. To show the validity of the present analysis, we also apply this to the two-leg ladder system. By utilizing the field-theoretical Bosonization and Fermionization method, we derive low-energy effective theory and analyze the magnitude of all the excitation gaps in detail. It is shown that the low-energy excitations in the two-leg Hubbard ladder have SO(3)*SO(3)*U(1) symmetry when the interchain hopping exceeds the magnitude of the charge gap. | |||||
言語 | en | |||||
出版者 | ||||||
出版者 | The American Physical Society | |||||
言語 | en | |||||
言語 | ||||||
言語 | eng | |||||
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資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
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出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1103/PhysRevB.74.155109 | |||||
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収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1098-0121 | |||||
書誌情報 |
en : Physical Review B 巻 74, 号 15, p. 155109-155109, 発行日 2006-10-15 |
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値 | application/pdf | |||||
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値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/7151 | |||||
識別子タイプ | HDL |