Numerical minimisation of Gutzwiller energy functionals

Abstract

We give a comprehensive introduction into an efficient numerical scheme for the minimisation of Gutzwiller energy functionals in studies on multi-band Hubbard models. Our method covers all conceivable cases of Gutzwiller variational wave functions and has been used successfully in previous numerical studies.

10 pages

References in corpus (15)

• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Dynamical behavior across the Mott transition of two bands with different bandwidths
• Efficient implementation of the Gutzwiller variational method
• Gutzwiller density functional theory for correlated electron systems
• Equivalence of Gutzwiller and slave-boson mean-field theories for multi-band Hubbard models
• Surface dead layer for quasiparticles near a Mott transition
• Variational study of Fermi-surface deformations in Hubbard models
• Gutzwiller theory of band magnetism in LaOFeAs
• Theory of antibound states in partially filled narrow band systems
• Rotationally-invariant slave-bosons for Strongly Correlated Superconductors
• Correlation effects on the doped triangular lattice in view of the physics of sodium-rich Na${}_x$CoO${}_2$
• Including many-body screening into self-consistent calculations: Tight-binding model studies with the Gutzwiller approximation
• Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model
• Hybridisation in two-band Hubbard models with different bandwidths

Cited by in corpus (14)

• Gutzwiller Density Functional Theory: a formal derivation and application to ferromagnetic nickel
• Linear-Response Dynamics from the Time-Dependent Gutzwiller Approximation
• Comparison of two approaches for the treatment of Gutzwiller variational wave functions
• Interplay of Coulomb interaction and spin-orbit coupling
• Evaluation techniques for Gutzwiller wave functions in finite dimensions
• Dynamical Jahn--Teller instability in metallic fullerides
• Quasi-particle bands and structural phase transition of iron from Gutzwiller Density-Functional Theory
• Foundations of the Variational Discrete Action Theory
• Fifty years of Hubbard and Anderson lattice models: from magnetism to unconventional superconductivity - A brief overview
• Exchange couplings for Mn ions in CdTe: validity of spin models for dilute magnetic II-VI semiconductors
• Exact response functions within the time-dependent Gutzwiller approach
• Gutzwiller variational approach to the two-impurity Anderson model at particle-hole symmetry
• Approximation schemes for the study of multi-band Gutzwiller wave functions
• Band antiferromagnetism in a two-band model for iron pnictides