Slave-Boson analysis of the 2D Hubbard model

Abstract

We present a comprehensive study of the 2D one-band Hubbard model applying the spin rotation invariant slave-boson method. We utilize a spiral magnetic mean field and fluctuations around a paramagnetic mean field to determine the magnetic phase diagram and find the two approaches to be in good agreement. Apart from the commensurate phases characterized by ordering wave vectors $\mathbf{Q}=(\pi ,\pi ),(0,\pi )$, and $(0,0)$ we find incommensurate phases where the ordering wave vectors $\mathbf{Q}=(Q,Q)$, and $(Q,\pi )$ vary continuously with filling, interaction strength or temperature. The mean field quantities magnetization and effective mass are found to change discontinuously at the phase boundaries separating the $(Q,Q)$ and $(Q,\pi )$ phases, indicating a first order transition. The band structure and Fermi surface is shown in selected cases. The dynamic spin and charge susceptibilities as well as the structure factors are calculated and discussed, including the emergence of collective modes of the zero sound and Mott insulator type. The dynamical conductivity is calculated in dependence of doping, interaction strength and temperature. Finally, a temperature-interaction strength phase diagram is established.

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• Universal collective modes from strong electronic correlations: Modified $1/{\mathcal{N}}_f$ theory with application to high-$T_c$ cuprates
• First principle prediction of structural distortions in the cuprates and their impact on the electronic structure
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Orbital Rotations induced by Charges of Polarons and Defects in Doped Vanadates
• Incommensurate magnetic order: A fingerprint for electronic correlations in hole-doped cuprates
• Exact functional integration of radial and complex slave-boson fields: thermodynamics and dynamics of the two-site extended Hubbard model
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• Phase coexistence in a half-filled extended Hubbard model
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