Metal-insulator transition and strong-coupling spin liquid in the $t-t^{\prime }$ Hubbard model

Abstract

We study the phase diagram of the frustrated $t-t^{\prime }$ Hubbard model on the square lattice by using a novel variational wave function. Taking the clue from the backflow correlations that have been introduced long-time ago by Feynman and Cohen and have been used for describing various interacting systems on the continuum (like liquid ${}^3$He, the electron jellium, and metallic Hydrogen), we consider many-body correlations to construct a suitable approximation for the ground state of this correlated model on the lattice. In this way, a very accurate {\it ansatz} can be achieved both at weak and strong coupling. We present the evidence that an insulating and non-magnetic phase can be stabilized at strong coupling and sufficiently large frustrating ratio $t^{\prime }/t$.

8 pages, Proceedings of the HFM2008 Conference

References in corpus (6)

• Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
• Mott Transitions and d-wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions
• Magnetism and d-wave superconductivity on the half-filled square lattice with frustration
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• Backflow Transformations via Neural Networks for Quantum Many-Body Wave-Functions
• Backflow correlations in the Hubbard model: an efficient tool for the metal-insulator transition and the large-U limit
• Testing the Monte Carlo - Mean Field approximation in the one-band Hubbard model
• Strong renormalization of the Fermi-surface topology close to the Mott transition
• Gutzwiller Magnetic Phase Diagram of the Undoped t-t'-U Hubbard Model
• Frustration effects at finite temperature in the half filled Hubbard model
• Self Energy and Fluctuation Spectra in Cuprates: Comparing Optical and Photoemission Results
• Metal-insulator transition and antiferromagnetism in the generalized Hubbard model: Treatment of correlation effects
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects