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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 approximate to 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.
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Submitted on : Friday, July 5, 2019 - 10:17:34 AM
Last modification on : Friday, October 25, 2019 - 2:20:03 PM

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Vu Hung Dao, Raymond Fresard. Particle-Hole Symmetry of Charge Excitation Spectra in the Paramagnetic Phase of the Hubbard Model. Acta Physica Polonica A, Polish Academy of Sciences. Institute of Physics, 2018, 133 (3), pp.336-342. ⟨10.12693/APhysPolA.133.336⟩. ⟨hal-02174486⟩

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