WEKO3
アイテム
{"_buckets": {"deposit": "b5f6af75-073b-4ba0-975e-9df9172f550f"}, "_deposit": {"id": "39952", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "39952"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00039952", "sets": ["6871", "6872"]}, "item_4_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2016-01-25", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "288", "bibliographicPageStart": "1", "bibliographicVolumeNumber": "23", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_5": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Renormalization group analysis for multi-band manyelectron systems at half-filling at positive temperature is presented. The analysis includes the Matsubara ultra-violet integration and the infrared integration around the zero set of the dispersion relation. The multi-scale integration schemes are implemented in a finitedimensional Grassmann algebra indexed by discrete position-time variables. In order that the multi-scale integrations are justified inductively, various scale-dependent estimates on Grassmann polynomials are established. We apply these theories in practice to prove that for the half-filled Hubbard model with nearest-neighbor hopping on a square lattice the infinite-volume, zero-temperature limit of the free energy density exists as an analytic function of the coupling constant in a neighborhood of the origin if the system contains the magnetic flux π (mod 2π) per plaquette and 0 (mod 2π) through the large circles around the periodic lattice. Combined with Lieb’s result on the flux phase problem ([Lieb, E. H., Phys. Rev. Lett. 73 (1994), 2158]), this theorem implies that the minimum free energy density of the fluxphase problem converges to an analytic function of the coupling constant in the infinite-volume, zero-temperature limit. The proof of the theorem is based on a four-band formulation of the model Hamiltonian and an extension of Giuliani-Mastropietro’s renormalization designed for the half-filled Hubbard model on the honeycomb lattice ([Giuliani, A. and V. Mastropietro, Commun. Math. Phys. 293 (2010), 301–346]).", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11021653", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_8": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "13405705", "subitem_source_identifier_type": "ISSN"}]}, "item_4_subject_15": {"attribute_name": "日本十進分類法", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "81T17(MSC2010)"}, {"subitem_text_value": "81T28(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "原稿受領日", "attribute_value_mlt": [{"subitem_text_value": "2014-05-08"}]}, "item_4_text_34": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "著者所属", "attribute_value_mlt": [{"subitem_text_value": "Graduate School of Mathematical Sciences, University of Tokyo"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Kashima, Yohei"}], "nameIdentifiers": [{"nameIdentifier": "92357", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms230101.pdf", "filesize": [{"value": "1.5 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 1500000.0, "url": {"label": "jms230101.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/39952/files/jms230101.pdf"}, "version_id": "339ba12e-eea4-47bf-ac37-ba1c1e57e149"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Many-electron system", "subitem_subject_scheme": "Other"}, {"subitem_subject": "renormalization", "subitem_subject_scheme": "Other"}, {"subitem_subject": "group", "subitem_subject_scheme": "Other"}, {"subitem_subject": "the Hubbard model", "subitem_subject_scheme": "Other"}, {"subitem_subject": "zero-temperature limit", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Renormalization Group Analysis of Multi-Band Many-Electron Systems at Half-Filling", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Renormalization Group Analysis of Multi-Band Many-Electron Systems at Half-Filling"}]}, "item_type_id": "4", "owner": "1", "path": ["6871", "6872"], "permalink_uri": "http://hdl.handle.net/2261/61486", "pubdate": {"attribute_name": "公開日", "attribute_value": "2017-01-25"}, "publish_date": "2017-01-25", "publish_status": "0", "recid": "39952", "relation": {}, "relation_version_is_last": true, "title": ["Renormalization Group Analysis of Multi-Band Many-Electron Systems at Half-Filling"], "weko_shared_id": null}
Renormalization Group Analysis of Multi-Band Many-Electron Systems at Half-Filling
http://hdl.handle.net/2261/61486
http://hdl.handle.net/2261/614867b3bd5f7-5c20-4983-b949-0ca28c781340
名前 / ファイル | ライセンス | アクション |
---|---|---|
jms230101.pdf (1.5 MB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2017-01-25 | |||||
タイトル | ||||||
タイトル | Renormalization Group Analysis of Multi-Band Many-Electron Systems at Half-Filling | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Many-electron system | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | renormalization | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | group | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | the Hubbard model | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | zero-temperature limit | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Kashima, Yohei
× Kashima, Yohei |
|||||
著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Renormalization group analysis for multi-band manyelectron systems at half-filling at positive temperature is presented. The analysis includes the Matsubara ultra-violet integration and the infrared integration around the zero set of the dispersion relation. The multi-scale integration schemes are implemented in a finitedimensional Grassmann algebra indexed by discrete position-time variables. In order that the multi-scale integrations are justified inductively, various scale-dependent estimates on Grassmann polynomials are established. We apply these theories in practice to prove that for the half-filled Hubbard model with nearest-neighbor hopping on a square lattice the infinite-volume, zero-temperature limit of the free energy density exists as an analytic function of the coupling constant in a neighborhood of the origin if the system contains the magnetic flux π (mod 2π) per plaquette and 0 (mod 2π) through the large circles around the periodic lattice. Combined with Lieb’s result on the flux phase problem ([Lieb, E. H., Phys. Rev. Lett. 73 (1994), 2158]), this theorem implies that the minimum free energy density of the fluxphase problem converges to an analytic function of the coupling constant in the infinite-volume, zero-temperature limit. The proof of the theorem is based on a four-band formulation of the model Hamiltonian and an extension of Giuliani-Mastropietro’s renormalization designed for the half-filled Hubbard model on the honeycomb lattice ([Giuliani, A. and V. Mastropietro, Commun. Math. Phys. 293 (2010), 301–346]). | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 23, 号 1, p. 1-288, 発行日 2016-01-25 |
|||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
81T17(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
81T28(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2014-05-08 |