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

A. Tomski, J. Kaczmarczyk, Journal of Physics: Condensed Matter 28 (2016).

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Author
Tomski, Andrzej; Kaczmarczyk, JanIST Austria
Department
Abstract
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.
Publishing Year
Date Published
2016-03-29
Journal Title
Journal of Physics: Condensed Matter
Volume
28
Issue
17
Article Number
175701
IST-REx-ID

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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
Tomski, A., & Kaczmarczyk, J. (2016). Gutzwiller wave function for finite systems: Superconductivity in the Hubbard model. Journal of Physics: Condensed Matter, 28(17). https://doi.org/10.1088/0953-8984/28/17/175701
Tomski, Andrzej, and Jan Kaczmarczyk. “Gutzwiller Wave Function for Finite Systems: Superconductivity in the Hubbard Model.” Journal of Physics: Condensed Matter 28, no. 17 (2016). https://doi.org/10.1088/0953-8984/28/17/175701.
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, 2016.
Tomski A, Kaczmarczyk J. 2016. Gutzwiller wave function for finite systems: Superconductivity in the Hubbard model. Journal of Physics: Condensed Matter. 28(17), 175701.
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.

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