Parallelization of the exact diagonalization of the t-t'-Hubbard model
We present a new parallel algorithm for the exact diagonalization of the \(t-t'\)-Hubbard model with the Lanczos-method. By invoking a new scheme of labeling the states we were able to obtain a speedup of up to four on 16 nodes of an IBM SP2 for the calculation of the ground state energy and an...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 1997-09 |
|---|---|
| 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 | Fettes, W Morgenstern, I Husslein, T |
| description | We present a new parallel algorithm for the exact diagonalization of the \(t-t'\)-Hubbard model with the Lanczos-method. By invoking a new scheme of labeling the states we were able to obtain a speedup of up to four on 16 nodes of an IBM SP2 for the calculation of the ground state energy and an almost linear speedup for the calculation of the correlation functions. Using this algorithm we performed an extensive study of the influence of the next-nearest hopping parameter \(t'\) in the \(t-t'\)-Hubbard model on ground state energy and the superconducting correlation functions for both attractive and repulsive interaction. |
| doi_str_mv | 10.48550/arxiv.9709336 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2088205725</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2088205725</sourcerecordid><originalsourceid>FETCH-proquest_journals_20882057253</originalsourceid><addsrcrecordid>eNqNjTsPgjAYRRsTE4myOjdxcCqWlvKYjcTRwZ18SNGSSrUthvjrZXBycrrDOTkXoXVMoyQXgu7AjuoVFRktOE9nKGCcxyRPGFug0LmOUsrSjAnBA1SewILWUqs3eGV6bFrsbxLLES4eNwqupodf6InfkuNQ12AbfDeN1Cs0b0E7GX53iTbl4bw_koc1z0E6X3VmsFPJVYzmOaNi-uf_WR8vf0Cb</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2088205725</pqid></control><display><type>article</type><title>Parallelization of the exact diagonalization of the t-t'-Hubbard model</title><source>Free E- Journals</source><creator>Fettes, W ; Morgenstern, I ; Husslein, T</creator><creatorcontrib>Fettes, W ; Morgenstern, I ; Husslein, T</creatorcontrib><description>We present a new parallel algorithm for the exact diagonalization of the \(t-t'\)-Hubbard model with the Lanczos-method. By invoking a new scheme of labeling the states we were able to obtain a speedup of up to four on 16 nodes of an IBM SP2 for the calculation of the ground state energy and an almost linear speedup for the calculation of the correlation functions. Using this algorithm we performed an extensive study of the influence of the next-nearest hopping parameter \(t'\) in the \(t-t'\)-Hubbard model on ground state energy and the superconducting correlation functions for both attractive and repulsive interaction.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.9709336</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Algorithms ; Ground state ; Mathematical models ; Parallel processing</subject><ispartof>arXiv.org, 1997-09</ispartof><rights>1997. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</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>776,780,27902</link.rule.ids></links><search><creatorcontrib>Fettes, W</creatorcontrib><creatorcontrib>Morgenstern, I</creatorcontrib><creatorcontrib>Husslein, T</creatorcontrib><title>Parallelization of the exact diagonalization of the t-t'-Hubbard model</title><title>arXiv.org</title><description>We present a new parallel algorithm for the exact diagonalization of the \(t-t'\)-Hubbard model with the Lanczos-method. By invoking a new scheme of labeling the states we were able to obtain a speedup of up to four on 16 nodes of an IBM SP2 for the calculation of the ground state energy and an almost linear speedup for the calculation of the correlation functions. Using this algorithm we performed an extensive study of the influence of the next-nearest hopping parameter \(t'\) in the \(t-t'\)-Hubbard model on ground state energy and the superconducting correlation functions for both attractive and repulsive interaction.</description><subject>Algorithms</subject><subject>Ground state</subject><subject>Mathematical models</subject><subject>Parallel processing</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqNjTsPgjAYRRsTE4myOjdxcCqWlvKYjcTRwZ18SNGSSrUthvjrZXBycrrDOTkXoXVMoyQXgu7AjuoVFRktOE9nKGCcxyRPGFug0LmOUsrSjAnBA1SewILWUqs3eGV6bFrsbxLLES4eNwqupodf6InfkuNQ12AbfDeN1Cs0b0E7GX53iTbl4bw_koc1z0E6X3VmsFPJVYzmOaNi-uf_WR8vf0Cb</recordid><startdate>19970930</startdate><enddate>19970930</enddate><creator>Fettes, W</creator><creator>Morgenstern, I</creator><creator>Husslein, T</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>PHGZM</scope><scope>PHGZT</scope><scope>PIMPY</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>19970930</creationdate><title>Parallelization of the exact diagonalization of the t-t'-Hubbard model</title><author>Fettes, W ; Morgenstern, I ; Husslein, T</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20882057253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Algorithms</topic><topic>Ground state</topic><topic>Mathematical models</topic><topic>Parallel processing</topic><toplevel>online_resources</toplevel><creatorcontrib>Fettes, W</creatorcontrib><creatorcontrib>Morgenstern, I</creatorcontrib><creatorcontrib>Husslein, T</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>ProQuest Central (New)</collection><collection>ProQuest One Academic (New)</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Middle East (New)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Applied & Life Sciences</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fettes, W</au><au>Morgenstern, I</au><au>Husslein, T</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Parallelization of the exact diagonalization of the t-t'-Hubbard model</atitle><jtitle>arXiv.org</jtitle><date>1997-09-30</date><risdate>1997</risdate><eissn>2331-8422</eissn><abstract>We present a new parallel algorithm for the exact diagonalization of the \(t-t'\)-Hubbard model with the Lanczos-method. By invoking a new scheme of labeling the states we were able to obtain a speedup of up to four on 16 nodes of an IBM SP2 for the calculation of the ground state energy and an almost linear speedup for the calculation of the correlation functions. Using this algorithm we performed an extensive study of the influence of the next-nearest hopping parameter \(t'\) in the \(t-t'\)-Hubbard model on ground state energy and the superconducting correlation functions for both attractive and repulsive interaction.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.9709336</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 1997-09 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_proquest_journals_2088205725 |
| source | Free E- Journals |
| subjects | Algorithms Ground state Mathematical models Parallel processing |
| title | Parallelization of the exact diagonalization of the t-t'-Hubbard model |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-21T16%3A17%3A18IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Parallelization%20of%20the%20exact%20diagonalization%20of%20the%20t-t'-Hubbard%20model&rft.jtitle=arXiv.org&rft.au=Fettes,%20W&rft.date=1997-09-30&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.9709336&rft_dat=%3Cproquest%3E2088205725%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2088205725&rft_id=info:pmid/&rfr_iscdi=true |