Exact results with the Kotliar-Ruckenstein slave-boson representation

Abstract

Radial slave boson representations have the particular advantage that the expectation values of their respective fields are finite even without the formal introduction of spurious Bose condensates for each of the bosonic fields. The expectation values of the radial (real) fields are in fact to be interpreted as the density of empty or singly occupied sites. Whereas the radial representation of the Barnes slave bosons has been investigated before, a setup for the functional integral of radial bosonic fields in the more physical Kotliar-Ruckenstein representation has not been accomplished to date. We implement a path integral procedure with suitable renormalization factors for a strongly correlated two-site model which allows to control the formal steps in the intricate evaluation, as the results for the partition function and the expectation values are known from exact diagonalization for such a minimal single impurity Anderson model. The partition function is shown to be a trace over a product of matrices local in time and therefore can be calculated analytically. Eventually, we establish the scheme for the evaluation of correlation functions and thermodynamic properties.

10 pages, 1 figure

References in corpus (12)

• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• On the strong impact of doping in the triangular antiferromagnet CuCrO2
• Orbital liquid in ferromagnetic manganites: The orbital Hubbard model for $e_g$ electrons
• Interplay between incommensurate phases in the cuprates
• Slave-boson approach to the metallic stripe phases with large unit cells
• Strongly renormalized quasi-two-dimensional electron gas in a heterostructure with correlation effects
• 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${}_2$
• Interface controlled electronic charge inhomogeneities in correlated heterostructures
• Electrostatic interface tuning in correlated superconducting heterostructures
• Barnes slave boson approach to the two-site single impurity Anderson model with non-local interaction
• Exact results in a slave boson saddle point approach for a strongly correlated electron model

Cited by in corpus (1)

• Fermi-liquid Landau parameters for a nondegenerate band: Spin and charge instabilities in the extended Hubbard model