Magnetization, d-wave superconductivity, and non-Fermi-liquid behavior in a crossover from dispersive to flat bands

Pramod Kumar*, Paivi Torma, Tuomas Vanhala

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)
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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 languageEnglish
Article number125141
Pages (from-to)1-11
Number of pages11
JournalPhysical Review B
Volume100
Issue number12
DOIs
Publication statusPublished - 18 Sep 2019
MoE publication typeA1 Journal article-refereed

Keywords

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

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