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.
References in corpus (39)
- Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
- Quantum Criticality in Heavy Fermion Metals
- Locally critical quantum phase transitions in strongly correlated metals
- Onset of antiferromagnetism in heavy fermion metals
- Dynamical Mean-Field Theory within the Full-Potential Methods: Electronic structure of Ce-115 materials
- Strange metal in magic-angle graphene with near Planckian dissipation
- Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
- Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
- Dynamical Mean-Field Theory within an Augmented Plane-Wave Framework: Assessing Electronic Correlations in the Iron Pnictide LaFeAsO
- Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
- Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
- Energy resolution and discretization artefacts in the numerical renormalization group
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- Plane-wave based electronic structure calculations for correlated materials using dynamical mean-field theory and projected local orbitals
- Quantum critical behavior in magic-angle twisted bilayer graphene
- Strange metal behavior in a pure ferromagnetic Kondo lattice
- Impurity Quantum Phase Transitions
- Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
- Local fluctuations in quantum critical metals
- Spectral Density Functionals for Electronic Structure Calculations
- Scaling theory of the cuprate strange metals
- Magnetotransport in a model of a disordered strange metal
- Critical local-moment fluctuations, anomalous exponents, and omega/T scaling in the Kondo problem with a pseudogap
- ``Linearized'' Dynamical Mean-Field Theory for the Mott-Hubbard transition
- Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
- Universal crossovers and critical dynamics of quantum phase transitions: A renormalization group study of the pseudogap Kondo problem
- Critical Kondo destruction in a pseudogap Anderson model: scaling and relaxational dynamics
- Mott transition of the f-electron system in the periodic Anderson model with nearest neighbor hybridization
- Mott quantum criticality in the one-band Hubbard model: Dynamical mean-field theory, power-law spectra, and scaling
- Two-channel pseudogap Kondo and Anderson models: Quantum phase transitions and non-Fermi liquids
- Ferromagnetism of magnetic impurities coupled indirectly via conduction electrons: Insights from various theoretical approaches
- Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions
- Crossover from conventional to inverse indirect magnetic exchange in the depleted Anderson lattice
- ω/T scaling of the optical conductivity in strongly correlated layered cobalt oxide
- Emergent Properties of the Periodic Anderson Model: a High-Resolution, Real-Frequency Study of Heavy-Fermion Quantum Criticality
- Kondo breakdown in multi-orbital Anderson lattices induced by destructive hybridization interference
- Dynamical scaling and Planckian dissipation due to heavy-fermion quantum criticality
- Flat-Band Driven Kondo Breakdown and Reentrant Effects in Heavy-Fermion Moiré Superlattices
- Improved estimator for numerical renormalization group calculations of the self-energy