{"created":"2023-05-15T15:29:55.179679+00:00","id":19812,"links":{},"metadata":{"_buckets":{"deposit":"575cb0d4-9cef-44da-8ffc-29649baa95df"},"_deposit":{"created_by":3,"id":"19812","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"19812"},"status":"published"},"_oai":{"id":"oai:sucra.repo.nii.ac.jp:00019812","sets":["94:429:431:432:1037"]},"author_link":["30648"],"control_number":"19812","item_113_biblio_info_9":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022","bibliographicIssueDateType":"Issued"}}]},"item_113_date_35":{"attribute_name":"作成日","attribute_value_mlt":[{"subitem_date_issued_datetime":"2023-01-26","subitem_date_issued_type":"Created"}]},"item_113_date_granted_20":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2022-03-24"}]},"item_113_degree_grantor_22":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"埼玉大学"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"12401","subitem_degreegrantor_identifier_scheme":"kakenhi"}]}]},"item_113_degree_name_21":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士(理学)"}]},"item_113_description_13":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_description":"72p","subitem_description_type":"Other"}]},"item_113_description_24":{"attribute_name":"目次","attribute_value_mlt":[{"subitem_description":"0.1 概要. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1\n\n第 1 章 序論 5\n1.1 強相関電子系の物理. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5\n1.2 5d 電子系の物理. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6\n1.3 5d 電子系の物質例. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10\n1.4 固有状態. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12\n1.5 多軌道ハバード模型. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13\n1.6 数値解析の先行研究. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14\n1.7 本研究の目的. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16\n\n第 2 章 モデルと数値解析手法 18\n2.1 ハバード模型. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18\n2.2 平均場近似. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21\n2.3 自己無撞着計算. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23\n2.4 密度行列. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24\n\n第 3 章 多極子 26\n3.1 多極子演算子. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26\n\n第 4 章 完全な多極子基底の構築 29\n4.1 多極子演算子の再構築. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29\n4.2 軌道自由度に則した多極子の分類. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31\n\n第 5 章 結果 35\n5.1 U-λ 相図. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35\n5.2 n-U 相図. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45\n\n第 6 章 総括 51\n\n参考文献 54\n\n付録A lz 基底 56\n\n付録B ハートリー・フォック方程式 58\n\n付録C 密度行列のユニタリー変換 62\n\n付録D 球テンソル演算子の具体形 64\n\n付録E 軌道自由度に則した多極子演算子の計算手順 66\n\n付録F 完全分極状態における平均場ハミルトニアン 70","subitem_description_type":"Other"}]},"item_113_description_25":{"attribute_name":"注記","attribute_value_mlt":[{"subitem_description":"指導教員 : 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