{"created":"2021-03-01T06:59:30.465311+00:00","id":39952,"links":{},"metadata":{"_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":["312:6865:6866:6871","9:504:6868:6869:6872"]},"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_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","filename":"jms230101.pdf","filesize":[{"value":"1.5 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","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"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-01-25"},"publish_date":"2017-01-25","publish_status":"0","recid":"39952","relation_version_is_last":true,"title":["Renormalization Group Analysis of Multi-Band Many-Electron Systems at Half-Filling"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:47.772797+00:00"}