Generalized slave-particle method for extended Hubbard models

Abstract

We introduce a set of generalized slave-particle models for extended Hubbard models that treat localized electronic correlations using slave-boson decompositions. Our models automatically include two slave-particle methods of recent interest, the slave-rotor and slave-spin methods, as well as a ladder of new intermediate models where one can choose which of the electronic degrees of freedom (e.g., spin or orbital labels) are treated as correlated degrees of freedom by the slave bosons. In addition, our method removes the aberrant behavior of the slave-rotor model at weak correlation strength by removing the contribution of unphysical states from the bosonic Hilbert space. The flexibility of our formalism permits one to separate and isolate the effect of correlations on the key degrees of freedom.

References in corpus (4)

• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Self-consistent slave rotor mean field theory for strongly correlated systems
• Interplay between incommensurate phases in the cuprates

Cited by in corpus (16)

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• Analytical slave-spin mean-field approach to orbital selective Mott insulators
• Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics
• Accuracy of ghost-rotationally-invariant slave-boson theory for multiorbital Hubbard models and realistic materials
• Symmetry Breaking in Occupation Number Based Slave-Particle Methods
• Orbital-selective bad metals due to Hund's rule and orbital anisotropy: a finite-temperature slave-spin treatment of the two-band Hubbard model
• Effect of the electron-lattice coupling on the charge and magnetic order in rare-earth nickelates
• Boson Slave Solver (BoSS) v1.1
• First principle prediction of structural distortions in the cuprates and their impact on the electronic structure
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• Energy Landscape analysis of metal-insulator transitions: theory and application to Ca${}_2$RuO${}_4$, $R$NiO${}_3$ and their heterostructures
• Intershell Interactions in Correlated Materials: A Slave Rotor Approach
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• Automated evaluation of imaginary time strong coupling diagrams by sum-of-exponentials hybridization fitting