---
_id: '1419'
abstract:
- lang: eng
  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.
article_number: '175701'
article_processing_charge: No
author:
- first_name: Andrzej
  full_name: Tomski, Andrzej
  last_name: Tomski
- first_name: Jan
  full_name: Kaczmarczyk, Jan
  id: 46C405DE-F248-11E8-B48F-1D18A9856A87
  last_name: Kaczmarczyk
  orcid: 0000-0002-1629-3675
citation:
  ama: 'Tomski A, Kaczmarczyk J. Gutzwiller wave function for finite systems: Superconductivity
    in the Hubbard model. <i>Journal of Physics: Condensed Matter</i>. 2016;28(17).
    doi:<a href="https://doi.org/10.1088/0953-8984/28/17/175701">10.1088/0953-8984/28/17/175701</a>'
  apa: 'Tomski, A., &#38; Kaczmarczyk, J. (2016). Gutzwiller wave function for finite
    systems: Superconductivity in the Hubbard model. <i>Journal of Physics: Condensed
    Matter</i>. IOP Publishing. <a href="https://doi.org/10.1088/0953-8984/28/17/175701">https://doi.org/10.1088/0953-8984/28/17/175701</a>'
  chicago: 'Tomski, Andrzej, and Jan Kaczmarczyk. “Gutzwiller Wave Function for Finite
    Systems: Superconductivity in the Hubbard Model.” <i>Journal of Physics: Condensed
    Matter</i>. IOP Publishing, 2016. <a href="https://doi.org/10.1088/0953-8984/28/17/175701">https://doi.org/10.1088/0953-8984/28/17/175701</a>.'
  ieee: 'A. Tomski and J. Kaczmarczyk, “Gutzwiller wave function for finite systems:
    Superconductivity in the Hubbard model,” <i>Journal of Physics: Condensed Matter</i>,
    vol. 28, no. 17. IOP Publishing, 2016.'
  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.'
  mla: 'Tomski, Andrzej, and Jan Kaczmarczyk. “Gutzwiller Wave Function for Finite
    Systems: Superconductivity in the Hubbard Model.” <i>Journal of Physics: Condensed
    Matter</i>, vol. 28, no. 17, 175701, IOP Publishing, 2016, doi:<a href="https://doi.org/10.1088/0953-8984/28/17/175701">10.1088/0953-8984/28/17/175701</a>.'
  short: 'A. Tomski, J. Kaczmarczyk, Journal of Physics: Condensed Matter 28 (2016).'
date_created: 2018-12-11T11:51:55Z
date_published: 2016-03-29T00:00:00Z
date_updated: 2025-09-18T14:22:40Z
day: '29'
department:
- _id: MiLe
doi: 10.1088/0953-8984/28/17/175701
ec_funded: 1
external_id:
  isi:
  - '000374393100011'
intvolume: '        28'
isi: 1
issue: '17'
language:
- iso: eng
month: '03'
oa_version: None
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: 'Journal of Physics: Condensed Matter'
publication_status: published
publisher: IOP Publishing
publist_id: '5788'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Gutzwiller wave function for finite systems: Superconductivity in the Hubbard
  model'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 28
year: '2016'
...