Power-law spectra and asymptotic $\omega/T$ scaling in the orbital-selective Mott phase of a three-orbital Hubbard model, by Fabian Eickhoff

SciPost Physics Home Authoring Refereeing Submit a manuscript About Power-law spectra and asymptotic $\omega/T$ scaling in the orbital-selective Mott phase of a three-orbital Hubbard model Fabian Eickhoff SciPost Phys. 20, 050 (2026) · published 19 February 2026 doi: 10.21468/SciPostPhys.20.2.050 pdf BiBTeX RIS Submissions/Reports 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 $T$–$U$ 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 $\omega/T$ scaling in both charge and spin channels, spanning several decades in frequency and temperature. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.2.050TI - Power-law spectra and asymptotic $\omega/T$ scaling in the orbital-selective Mott phase of a three-orbital Hubbard modelPY - 2026/02/19UR - https://scipost.org/SciPostPhys.20.2.050JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 2SP - 050A1 - Eickhoff, FabianAB - 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 $T$–$U$ 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 $\omega/T$ scaling in both charge and spin channels, spanning several decades in frequency and temperature.ER - × @Article{10.21468/SciPostPhys.20.2.050, title={{Power-law spectra and asymptotic $\omega/T$ scaling in the orbital-selective Mott phase of a three-orbital Hubbard model}}, author={Fabian Eickhoff}, journal={SciPost Phys.}, volume={20}, pages={050}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.2.050}, url={https://scipost.org/10.21468/SciPostPhys.20.2.050},} Disclosure of Generative AI use The author(s) disclose that the following generative AI tools have been used in the preparation of this publication: Portions of the text were assisted by AI-based language tools, which were used to improve clarity and grammar. All scientific content, interpretations, and conclusions are the authors’ own.

Supplementary Information External links to supplemental resources; opens in a new tab. Data repository Ontology / Topics See full Ontology or Topics database. Hubbard model Kondo lattice Mott insulators Author / Affiliation: mappings to Contributors and Organizations See all Organizations. 1 Fabian Eickhoff 1 Deutsches Zentrum für Luft- und Raumfahrt / German Aerospace Center [DLR] Funders for the research work leading to this publication Bundesministerium für Wirtschaft und Energie Deutsches Zentrum für Luft- und Raumfahrt / German Aerospace Center [DLR]