Particle-Hole Symmetry of Charge Excitation Spectra in the Paramagnetic Phase of the Hubbard Model

• Authors: Vu Dao , Raymond Frésard
• Languages of publication: EN

Abstracts

EN

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 ω ≈ 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.

Keywords

EN

71.10.Fd; 72.15.Nj; 71.30.+h

Discipline

• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)
• 71.30.+h: Metal-insulator transitions and other electronic transitions
• 72.15.Nj: Collective modes (e.g., in one-dimensional conductors)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 3
• Pages: 336-342

Dates

published

2018-03

Contributors

author

Vu Dao

• Normandie University, ENSICAEN, UNICAEN, CNRS, CRISMAT, 14000 Caen, France

author

Raymond Frésard

• Normandie University, ENSICAEN, UNICAEN, CNRS, CRISMAT, 14000 Caen, France

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Identifiers

DOI

10.12693/APhysPolA.133.336