Particle-hole symmetry of charge excitation spectra in the paramagnetic phase of the Hubbard model

Abstract

The Kotliar and Ruckenstein slave-boson representation of the Hubbard model allows to obtain an approximation of the charge dynamical response function resulting from the Gaussian fluctuations around the paramagnetic saddle-point in analytical form. Numerical evaluation in the thermodynamical limit yields charge excitation spectra consisting of a continuum, a gapless collective mode with anisotropic zero-sound velocity, and a correlation induced high-frequency mode at $\omega \approx U$. In this work we show that this analytical expression obeys the particle-hole symmetry of the model on any bipartite lattice with one atom in the unit cell. Other formal aspects of the approach are also addressed.

arXiv comment8 pages, 2 figures

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Cited by in corpus (3)

• Combining complex and radial slave boson fields within the Kotliar-Ruckenstein representation of correlated impurities
• Exact functional integration of radial and complex slave-boson fields: thermodynamics and dynamics of the two-site extended Hubbard model
• Effect of the next-nearest-neighbor hopping on the charge collective modes in the paramagnetic phase of the Hubbard model