Evaluation techniques for Gutzwiller wave functions in finite dimensions
Jan Kaczmarczyk, Tobias Schickling, J\"org B\"unemann
TL;DR
This paper introduces a diagrammatic method for evaluating Gutzwiller wave functions in finite dimensions, applying it to d-wave superconductivity in a 2D Hubbard model and analyzing the role of long-range effects.
Contribution
It presents a comprehensive diagrammatic approach and numerical schemes for real-space evaluation of Gutzwiller wave functions in finite dimensions, with applications to superconductivity.
Findings
Long-range contributions significantly affect the diagrammatic expansion.
Reevaluation of kinetic energy gain in superconducting state.
Numerical schemes improve real-space evaluation accuracy.
Abstract
We give a comprehensive introduction into a diagrammatic method that allows for the evaluation of Gutzwiller wave functions in finite spatial dimensions. We discuss in detail some numerical schemes that turned out to be useful in the real-space evaluation of the diagrams. The method is applied to the problem of d-wave superconductivity in a two-dimensional single-band Hubbard model. Here, we discuss in particular the role of long-range contributions in our diagrammatic expansion. We further reconsider our previous analysis on the kinetic energy gain in the superconducting state.
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