## Abstract

We explore the effect of inhomogeneity on electronic properties of the two-dimensional Hubbard model on a square lattice using dynamical mean-field theory (DMFT). The inhomogeneity is introduced via modulated lattice hopping such that in the extreme inhomogeneous limit the resulting geometry is a Lieb lattice, which exhibits a flat-band dispersion. The crossover can be observed in the uniform sublattice magnetization which is zero in the homogeneous case and increases with the inhomogeneity. Studying the spatially resolved frequency-dependent local self-energy, we find a crossover from Fermi-liquid to non-Fermi-liquid behavior happening at a moderate value of the inhomogeneity. This emergence of a non-Fermi liquid is concomitant of a quasiflat band. For finite doping the system with small inhomogeneity displays d-wave superconductivity coexisting with incommensurate spin-density order, inferred from the presence of oscillatory DMFT solutions. The d-wave superconductivity gets suppressed for moderate to large inhomogeneity for any finite doping while the incommensurate spin-density order still exists.

Original language | English |
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Article number | 125141 |

Pages (from-to) | 1-11 |

Number of pages | 11 |

Journal | Physical Review B |

Volume | 100 |

Issue number | 12 |

DOIs | |

Publication status | Published - 18 Sep 2019 |

MoE publication type | A1 Journal article-refereed |

## Keywords

- HIGH-TEMPERATURE SUPERCONDUCTIVITY
- MEAN-FIELD THEORY
- HUBBARD-MODEL
- FERROMAGNETISM
- INSULATOR
- SYSTEMS
- PHYSICS
- CHARGE
- PHASE
- ORDER