Origin of Strong Dispersion in Hubbard Insulators

Abstract

Using cluster perturbation theory, we explain the origin of the strongly dispersive feature found at high binding energy in the spectral function of the Hubbard model. By comparing the Hubbard and $t-J-3s$ model spectra, we show that this dispersion does not originate from either coupling to spin fluctuations ($\propto J$) or the free hopping ($\propto t$). Instead, it should be attributed to a long-range, correlated hopping $\propto t^2/U$, which allows an effectively free motion of the hole within the same antiferromagnetic sublattice. This origin explains both the formation of the high energy anomaly in the single-particle spectrum and the sensitivity of the high binding energy dispersion to the next-nearest-neighbor hopping $t^{\prime }$.

8 pages, 6 figures

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• Characterizing the three-orbital Hubbard model with determinant quantum Monte Carlo
• Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
• Automatic differentiation applied to excitations with Projected Entangled Pair States
• Theoretical Understanding of Photon Spectroscopies in Correlated Materials In and Out of Equilibrium
• Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
• Revealing the Coulomb interaction strength in a cuprate superconductor
• Correlation induced electron-hole asymmetry in quasi-2D iridates
• Doping and temperature evolution of pseudogap and spin-spin correlations in the two-dimensional Hubbard model
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• Numerical Investigation of Spin Excitations in a Doped Spin Chain
• Charge dynamics of the antiferromagnetically ordered Mott insulator
• Emergence of Quasiparticles in a Doped Mott Insulator
• Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model
• Influence of Magnetism and Correlation on the Spectral Properties of Doped Mott Insulators
• Nature of a single doped hole in two-leg Hubbard and $t$-$J$ ladders
• On the cuprates' universal waterfall feature: evidence of a momentum-driven crossover
• Schrieffer-Wolff Transformations for Experiments: Dynamically Suppressing Virtual Doublon-Hole Excitations in a Fermi-Hubbard Simulator
• Influence of multiplet structure on photoemission spectra of spin-orbit driven Mott insulators: application to $\mathbf{S}{\mathbf{r}}_2\mathbf{Ir}{\mathbf{O}}_4$
• Two-dopant origin of competing stripe and pair formation in Hubbard and $t$-$J$ models
• Photoemission Spectrum of Ca2RuO4: Spin Polaron Physics in an S=1 Antiferromagnet with Anisotropies
• Paramagnon dispersion and damping in doped Na${}_x$Ca${}_{2-x}$CuO${}_2$Cl${}_2$
• Altermagnetic polarons: the fate of alter magnetic band splittings at strong coupling
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Effect of short-range correlations on spectral properties of doped Mott insulators
• The fate of the spin polaron in the 1D antiferromagnets
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO