Power-Law Spectra and Asymptotic Scaling in the Orbital-Selective Mott Phase of a Three-Orbital Hubbard Model
arXiv:2509.23758 · doi:10.21468/SciPostPhys.20.2.050
Abstract
Quantum materials whose properties lie beyond the celebrated Landau Fermi-liquid paradigm have been observed for decades across diverse material platforms. Finding microscopic lattice models for metallic states that exhibit such peculiar behavior remains a major theoretical challenge, as these features often originate from strong quantum fluctuations in strongly interacting electron systems. Here we investigate a three-orbital Hubbard model at a high-symmetry point that hosts a transition from a metallic to an orbital-selective Mott (OSM) phase. Employing single-site dynamical mean-field theory combined with full-density-matrix numerical renormalization group, we chart the phase diagram and obtain high-resolution real-frequency dynamics. In the OSM regime we find asymptotically scale-invariant (power-law) single-particle spectra and asymptotic scaling in both charge and spin channels, spanning several decades in frequency and temperature.
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