Gutzwiller wave function for finite systems : superconductivity in the Hubbard model

2016
journal article
article
2
dc.abstract.enWe study the superconducting phase of the Hubbard model using the Gutzwiller variational wave function (GWF) and the recently proposed diagrammatic expansion technique (DE-GWF). The DE-GWF method works on the level of the full GWF and in the thermodynamic limit. Here, we consider a finite-size system to study the accuracy of the results as a function of the system size (which is practically unrestricted). We show that the finite-size scaling used, e.g. in the variational Monte Carlo method can lead to significant, uncontrolled errors. The presented research is the first step towards applying the DE-GWF method in studies of inhomogeneous situations, including systems with impurities, defects, inhomogeneous phases, or disorder.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.affiliationWydział Matematyki i Informatykipl
dc.contributor.authorTomski, Andrzej - 119493 pl
dc.contributor.authorKaczmarczyk, Jan - 113748 pl
dc.date.accessioned2017-02-08T13:31:15Z
dc.date.available2017-02-08T13:31:15Z
dc.date.issued2016pl
dc.description.number17pl
dc.description.volume28pl
dc.identifier.articleid175701pl
dc.identifier.doi10.1088/0953-8984/28/17/175701pl
dc.identifier.eissn1361-648Xpl
dc.identifier.issn0953-8984pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/37351
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licencebez licencji
dc.rights.uri*
dc.subtypeArticlepl
dc.titleGutzwiller wave function for finite systems : superconductivity in the Hubbard modelpl
dc.title.journalJournal of Physics. Condensed Matterpl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We study the superconducting phase of the Hubbard model using the Gutzwiller variational wave function (GWF) and the recently proposed diagrammatic expansion technique (DE-GWF). The DE-GWF method works on the level of the full GWF and in the thermodynamic limit. Here, we consider a finite-size system to study the accuracy of the results as a function of the system size (which is practically unrestricted). We show that the finite-size scaling used, e.g. in the variational Monte Carlo method can lead to significant, uncontrolled errors. The presented research is the first step towards applying the DE-GWF method in studies of inhomogeneous situations, including systems with impurities, defects, inhomogeneous phases, or disorder.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.affiliationpl
Wydział Matematyki i Informatyki
dc.contributor.authorpl
Tomski, Andrzej - 119493
dc.contributor.authorpl
Kaczmarczyk, Jan - 113748
dc.date.accessioned
2017-02-08T13:31:15Z
dc.date.available
2017-02-08T13:31:15Z
dc.date.issuedpl
2016
dc.description.numberpl
17
dc.description.volumepl
28
dc.identifier.articleidpl
175701
dc.identifier.doipl
10.1088/0953-8984/28/17/175701
dc.identifier.eissnpl
1361-648X
dc.identifier.issnpl
0953-8984
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/37351
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
bez licencji
dc.rights.uri*
dc.subtypepl
Article
dc.titlepl
Gutzwiller wave function for finite systems : superconductivity in the Hubbard model
dc.title.journalpl
Journal of Physics. Condensed Matter
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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