Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice

Abstract

The properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying the repulsive Hubbard model on the $2$D Lieb lattice, which has a flat band for vanishing interaction $U$. We perform real-space dynamical mean-field theory calculations at different temperatures and dopings using a continuous time quantum Monte Carlo impurity solver. Studying the frequency dependence of the self-energy, we show that a finite temperature non-magnetic non-Fermi liquid behavior is a concomitant of the flat band singularity. At half-filling we also find a magnetically ordered region, where the order parameter varies linearly with the interaction strength, and a strongly correlated Mott insulating phase. The double occupancy decreases sharply for small $U$, highlighting the flat band contribution. Away from half-filling, we observe the stripe order, i.e. an inhomogeneous spin and charge density wave of finite wavelength which turns into a sub-lattice ordering at higher temperatures.

arXiv comment10 pages, 11 figures

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• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Flat band superconductivity in the square-octagon lattice
• Strain induced superconductor-insulator transition on Lieb lattice
• Spin-Imbalanced Pairing and Fermi Surface Deformation in Flat Bands
• Flat band induced non-Fermi liquid behavior of multicomponent fermions
• Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands
• Dynamical resilience to disorder: the dilute Hubbard model on the Lieb lattice
• Metal-insulator transition in the disordered Hubbard model of the Lieb lattice
• Altermagnetism and its induced higher-order topology on the Lieb lattice
• Surface magnon spectra of nodal loop semimetals