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Power-Law Spectra and Asymptotic $ω/T$ Scaling in the Orbital-Selective Mott Phase of a Three-Orbital Hubbard Model
by Fabian Eickhoff
Submission summary
| Authors (as registered SciPost users): | Fabian Eickhoff |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2509.23758v2 (pdf) |
| Data repository: | https://doi.org/10.5281/zenodo.17214657 |
| Date submitted: | Dec. 2, 2025, 8:10 a.m. |
| Submitted by: | Fabian Eickhoff |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:
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.
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 $ω/T$ scaling in both charge and spin channels, spanning several decades in frequency and temperature.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
We thank you for handling our manuscript and we thank all three referees for their careful reading, constructive feedback, and positive evaluation of our work. We are pleased that the referees found the model and scaling analysis interesting, appreciated the quality of the NRG calculations, and recognized the relevance of the observed $\omega/T$ scaling. We have revised the manuscript thoroughly in response to the referee reports.
List of changes
- removed NISQ citations in the DMFT context
- added a reference to Fig.3 in the discussion around Eq. (6)
- added a reference to Fig.4 in the discussion of Sec. 3.2.2
- changed $\omega>0$ to $\omega>T$ in the first paragraph of Sec.4
- added a short comment on why we used multiprecision for solving Cardano’s formula in Appendix B.1
- added Appendix D to show the electron self-energy and NRG hyperparameter convergence
- added a discussion about the stability of the OSM phase at the end of Sec. 4
- changed “exotic scaling” to “scaling” in the conclusion