Ferromagnetism in the SU(\(n\)) Hubbard model with a nearly flat band
We present rigorous results for the SU(\(n\)) Fermi-Hubbard model on the railroad-trestle lattice. We first study the model with a flat band at the bottom of the single-particle spectrum and prove that the ground states exhibit SU(\(n\)) ferromagnetism when the total fermion number is the same as th...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2020-02 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Tamura, Kensuke Katsura, Hosho |
| description | We present rigorous results for the SU(\(n\)) Fermi-Hubbard model on the railroad-trestle lattice. We first study the model with a flat band at the bottom of the single-particle spectrum and prove that the ground states exhibit SU(\(n\)) ferromagnetism when the total fermion number is the same as the number of unit cells. We then perturb the model by adding extra hopping terms and make the flat band dispersive. Under the same filling condition, it is proved that the ground states of the perturbed model remain SU(\(n\)) ferromagnetic when the bottom band is nearly flat. This is the first rigorous example of the ferromagnetism in nonsingular SU(\(n\)) Hubbard models in which both the single-particle density of states and the on-site repulsive interaction are finite. |
| doi_str_mv | 10.48550/arxiv.1908.06286 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1908_06286</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2276715589</sourcerecordid><originalsourceid>FETCH-LOGICAL-a529-49fcfa480e89168528a7ef9f4c77ebd28bb893c60bce2cf7903770c93d6677663</originalsourceid><addsrcrecordid>eNotj09PwjAchhsTEwnyATzZxAscNrtf139HQ0BMSDyIN5Kl7VoZ2Trshsq3d4Kn9_Lkfd8HobuMpLlkjDzq-FN9pZkiMiUcJL9CI6A0S2QOcIMmXbcnhAAXwBgdocXSxdg2-iO4vuoaXAXc7xx-e59up2E7m-HV0RgdS9y0pavxd9XvsMbB6VifsK91j40O5S269rru3OQ_x2izXGzmq2T9-vwyf1onmoFKcuWt17kkTqqMSwZSC-eVz60QzpQgjZGKWk6MdWC9UIQKQayiJedCcE7H6P5Se3YsDrFqdDwVf67F2XUgHi7EIbafR9f1xb49xjB8KgAEFxljw8QvtjlVCQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2276715589</pqid></control><display><type>article</type><title>Ferromagnetism in the SU(\(n\)) Hubbard model with a nearly flat band</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Tamura, Kensuke ; Katsura, Hosho</creator><creatorcontrib>Tamura, Kensuke ; Katsura, Hosho</creatorcontrib><description>We present rigorous results for the SU(\(n\)) Fermi-Hubbard model on the railroad-trestle lattice. We first study the model with a flat band at the bottom of the single-particle spectrum and prove that the ground states exhibit SU(\(n\)) ferromagnetism when the total fermion number is the same as the number of unit cells. We then perturb the model by adding extra hopping terms and make the flat band dispersive. Under the same filling condition, it is proved that the ground states of the perturbed model remain SU(\(n\)) ferromagnetic when the bottom band is nearly flat. This is the first rigorous example of the ferromagnetism in nonsingular SU(\(n\)) Hubbard models in which both the single-particle density of states and the on-site repulsive interaction are finite.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1908.06286</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Fermions ; Ferromagnetism ; Ground state ; Mathematics - Mathematical Physics ; Particle density (concentration) ; Physics - Mathematical Physics ; Physics - Quantum Gases ; Physics - Statistical Mechanics ; Physics - Strongly Correlated Electrons</subject><ispartof>arXiv.org, 2020-02</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27924</link.rule.ids><backlink>$$Uhttps://doi.org/10.1103/PhysRevB.100.214423$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.1908.06286$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Tamura, Kensuke</creatorcontrib><creatorcontrib>Katsura, Hosho</creatorcontrib><title>Ferromagnetism in the SU(\(n\)) Hubbard model with a nearly flat band</title><title>arXiv.org</title><description>We present rigorous results for the SU(\(n\)) Fermi-Hubbard model on the railroad-trestle lattice. We first study the model with a flat band at the bottom of the single-particle spectrum and prove that the ground states exhibit SU(\(n\)) ferromagnetism when the total fermion number is the same as the number of unit cells. We then perturb the model by adding extra hopping terms and make the flat band dispersive. Under the same filling condition, it is proved that the ground states of the perturbed model remain SU(\(n\)) ferromagnetic when the bottom band is nearly flat. This is the first rigorous example of the ferromagnetism in nonsingular SU(\(n\)) Hubbard models in which both the single-particle density of states and the on-site repulsive interaction are finite.</description><subject>Fermions</subject><subject>Ferromagnetism</subject><subject>Ground state</subject><subject>Mathematics - Mathematical Physics</subject><subject>Particle density (concentration)</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Quantum Gases</subject><subject>Physics - Statistical Mechanics</subject><subject>Physics - Strongly Correlated Electrons</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj09PwjAchhsTEwnyATzZxAscNrtf139HQ0BMSDyIN5Kl7VoZ2Trshsq3d4Kn9_Lkfd8HobuMpLlkjDzq-FN9pZkiMiUcJL9CI6A0S2QOcIMmXbcnhAAXwBgdocXSxdg2-iO4vuoaXAXc7xx-e59up2E7m-HV0RgdS9y0pavxd9XvsMbB6VifsK91j40O5S269rru3OQ_x2izXGzmq2T9-vwyf1onmoFKcuWt17kkTqqMSwZSC-eVz60QzpQgjZGKWk6MdWC9UIQKQayiJedCcE7H6P5Se3YsDrFqdDwVf67F2XUgHi7EIbafR9f1xb49xjB8KgAEFxljw8QvtjlVCQ</recordid><startdate>20200205</startdate><enddate>20200205</enddate><creator>Tamura, Kensuke</creator><creator>Katsura, Hosho</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20200205</creationdate><title>Ferromagnetism in the SU(\(n\)) Hubbard model with a nearly flat band</title><author>Tamura, Kensuke ; Katsura, Hosho</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a529-49fcfa480e89168528a7ef9f4c77ebd28bb893c60bce2cf7903770c93d6677663</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Fermions</topic><topic>Ferromagnetism</topic><topic>Ground state</topic><topic>Mathematics - Mathematical Physics</topic><topic>Particle density (concentration)</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Quantum Gases</topic><topic>Physics - Statistical Mechanics</topic><topic>Physics - Strongly Correlated Electrons</topic><toplevel>online_resources</toplevel><creatorcontrib>Tamura, Kensuke</creatorcontrib><creatorcontrib>Katsura, Hosho</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tamura, Kensuke</au><au>Katsura, Hosho</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Ferromagnetism in the SU(\(n\)) Hubbard model with a nearly flat band</atitle><jtitle>arXiv.org</jtitle><date>2020-02-05</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>We present rigorous results for the SU(\(n\)) Fermi-Hubbard model on the railroad-trestle lattice. We first study the model with a flat band at the bottom of the single-particle spectrum and prove that the ground states exhibit SU(\(n\)) ferromagnetism when the total fermion number is the same as the number of unit cells. We then perturb the model by adding extra hopping terms and make the flat band dispersive. Under the same filling condition, it is proved that the ground states of the perturbed model remain SU(\(n\)) ferromagnetic when the bottom band is nearly flat. This is the first rigorous example of the ferromagnetism in nonsingular SU(\(n\)) Hubbard models in which both the single-particle density of states and the on-site repulsive interaction are finite.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1908.06286</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2020-02 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_1908_06286 |
| source | arXiv.org; Free E- Journals |
| subjects | Fermions Ferromagnetism Ground state Mathematics - Mathematical Physics Particle density (concentration) Physics - Mathematical Physics Physics - Quantum Gases Physics - Statistical Mechanics Physics - Strongly Correlated Electrons |
| title | Ferromagnetism in the SU(\(n\)) Hubbard model with a nearly flat band |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-10T22%3A04%3A36IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Ferromagnetism%20in%20the%20SU(%5C(n%5C))%20Hubbard%20model%20with%20a%20nearly%20flat%20band&rft.jtitle=arXiv.org&rft.au=Tamura,%20Kensuke&rft.date=2020-02-05&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1908.06286&rft_dat=%3Cproquest_arxiv%3E2276715589%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2276715589&rft_id=info:pmid/&rfr_iscdi=true |