Quantum fluctuations beyond the Gutzwiller approximation

Abstract

We present a simple scheme to evaluate linear response functions including quantum fluctuation corrections on top of the Gutzwiller approximation. The method is derived for a generic multi-band lattice Hamiltonian without any assumption about the dynamics of the variational correlation parameters that define the Gutzwiller wavefunction, and which thus behave as genuine dynamical degrees of freedom that add on those of the variational uncorrelated Slater determinant. We apply the method to the standard half-filled single-band Hubbard model. We are able to recover known results, but, as by-product, we also obtain few novel ones. In particular, we show that quantum fluctuations can reproduce almost quantitatively the behaviour of the uniform magnetic susceptibility uncovered by dynamical mean field theory, which, though enhanced by correlations, is found to be smooth across the paramagnetic Mott transition. By contrast, the simple Gutzwiller approximation predicts that susceptibility to diverge at the transition.

17 pages

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• Efficient computational screening of strongly correlated materials -- Multi-orbital phenomenology within the ghost Gutzwiller approximation
• Spin-$0$ Mott insulator to metal to spin-$1$ Mott insulator transition in the single-orbital Hubbard model on the decorated honeycomb lattice
• Quantum embedding for molecules using auxiliary particles -- The ghost Gutzwiller Ansatz
• Interplay of charge and spin dynamics after an interaction quench in the Hubbard model
• Revealing spinons by proximity effect
• Band structure picture for topology in strongly correlated systems with the ghost Gutzwiller ansatz
• Ghost Embedding Bridging Chemistry and One-Body Theories
• Efficient slave-boson approach for multiorbital two-particle response functions and superconductivity