{"type":"journal_article","doi":"10.1088/0953-8984/28/17/175701","_id":"1419","scopus_import":1,"article_number":"175701","publication":"Journal of Physics: Condensed Matter","language":[{"iso":"eng"}],"issue":"17","publication_status":"published","author":[{"first_name":"Andrzej","last_name":"Tomski","full_name":"Tomski, Andrzej"},{"last_name":"Kaczmarczyk","orcid":"0000-0002-1629-3675","first_name":"Jan","id":"46C405DE-F248-11E8-B48F-1D18A9856A87","full_name":"Kaczmarczyk, Jan"}],"date_created":"2018-12-11T11:51:55Z","status":"public","publist_id":"5788","date_updated":"2021-01-12T06:50:36Z","abstract":[{"text":"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.","lang":"eng"}],"volume":28,"oa_version":"None","year":"2016","month":"03","ec_funded":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"MiLe"}],"publisher":"IOP Publishing Ltd.","day":"29","project":[{"call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","title":"Gutzwiller wave function for finite systems: Superconductivity in the Hubbard model","citation":{"chicago":"Tomski, Andrzej, and Jan Kaczmarczyk. “Gutzwiller Wave Function for Finite Systems: Superconductivity in the Hubbard Model.” Journal of Physics: Condensed Matter. IOP Publishing Ltd., 2016. https://doi.org/10.1088/0953-8984/28/17/175701.","apa":"Tomski, A., & Kaczmarczyk, J. (2016). Gutzwiller wave function for finite systems: Superconductivity in the Hubbard model. Journal of Physics: Condensed Matter. IOP Publishing Ltd. https://doi.org/10.1088/0953-8984/28/17/175701","ista":"Tomski A, Kaczmarczyk J. 2016. Gutzwiller wave function for finite systems: Superconductivity in the Hubbard model. Journal of Physics: Condensed Matter. 28(17), 175701.","short":"A. Tomski, J. Kaczmarczyk, Journal of Physics: Condensed Matter 28 (2016).","mla":"Tomski, Andrzej, and Jan Kaczmarczyk. “Gutzwiller Wave Function for Finite Systems: Superconductivity in the Hubbard Model.” Journal of Physics: Condensed Matter, vol. 28, no. 17, 175701, IOP Publishing Ltd., 2016, doi:10.1088/0953-8984/28/17/175701.","ama":"Tomski A, Kaczmarczyk J. Gutzwiller wave function for finite systems: Superconductivity in the Hubbard model. Journal of Physics: Condensed Matter. 2016;28(17). doi:10.1088/0953-8984/28/17/175701","ieee":"A. Tomski and J. Kaczmarczyk, “Gutzwiller wave function for finite systems: Superconductivity in the Hubbard model,” Journal of Physics: Condensed Matter, vol. 28, no. 17. IOP Publishing Ltd., 2016."},"date_published":"2016-03-29T00:00:00Z","intvolume":" 28"}