- Open Access
From Strong to Weak Correlations in Breathing-Mode Kagome van der Waals Materials: as a Robust and Versatile Platform for Many-Body Engineering
Phys. Rev. X 15, 041042 – Published 5 December, 2025
DOI: https://doi.org/10.1103/wr7w-nfhg
Abstract
By combining ab initio downfolding with cluster dynamical mean-field theory, we study the degree of correlations in monolayer, bilayer, and bulk breathing-mode kagome van der Waals materials . Our new material-specific many-body model library shows that in low-temperature bulk structures the Coulomb correlation strength steadily increases from I to Br, Cl, and F, allowing us to identify as a weakly correlated insulator whose gap is only mildly affected by the local Coulomb interaction. and are strongly correlated insulators, whose gaps are significantly influenced by Coulomb-induced vertex corrections. is a prototypical bulk Mott insulator whose gap is initially opened by strong correlation effects. Angle-resolved photoemission spectroscopy measurements comparing and allow us to experimentally confirm these findings by revealing spectroscopic footprints of the degree of correlation. Our calculations further uncover how the thickness and the stacking affect the degree of correlations and predict that the entire material family can be tuned into correlated charge transfer or Mott-insulating phases upon electron or hole doping. Our magnetic property analysis based on our model parameter library additionally confirms that interlayer magnetic interactions likely drive the lattice phase transition to the low-temperature structures. The accompanying bilayer hybridization through interlayer dimerization yields magnetic singlet-like ground states in the Cl, Br, and I compounds. We further prove that all low-temperature compounds are dynamically stable and that electron-phonon coupling to the low-energy subspace is suppressed. Our findings establish as a robust, versatile, and tunable class for van der Waals-based Coulomb and Mott engineering with a rich phase diagram and allow us to speculate on the symmetry-breaking effects necessary for the recently observed Josephson diode effect in heterostructures.
Physics Subject Headings (PhySH)
- Doping effects
- Electrical properties
- First-principles calculations
- Flat bands
- Josephson effect
- Magnetic interactions
- Magnetic phase transitions
- Methods in magnetism
- Phase diagrams
- 2-dimensional systems
- Charge-transfer insulators
- Diodes
- Interfaces
- Josephson junctions
- Kagome lattice
- Magnetic insulators
- Magnetic thin films
- Mott insulators
- Quantum many-body systems
- Strongly correlated systems
- Angle-resolved photoemission spectroscopy
- Band structure methods
- Cluster methods
- Density functional theory
- Diagrammatic methods
- Dynamical mean field theory
- Effective field theory
- Exact diagonalization
- Extended Hubbard model
- Feynman diagrams
- GW method
- Green's function methods
- Hubbard model
- Landau-Lifschitz-Gilbert equation
- Lattice models in condensed matter
- Many-body techniques
- Materials modeling
- Molecular orbital theory
- Monte Carlo methods
- Quantum Monte Carlo
- Quantum field theory
- Quantum field theory (low energy)
- Second quantization
- Spin wave theory
- Wannier function methods
Popular Summary
The remarkable properties of many quantum materials arise from strong interactions between electrons, known as correlation effects. These correlations, driven by Coulomb forces, can produce exotic states such as magnetism, superconductivity, or insulating behavior. We investigate a family of layered materials, (where can be fluorine, chlorine, bromine, or iodine), that offers a rare chance to observe how these electronic correlations can be continuously tuned from strong to weak within a single structural framework. Our key finding is that by simply changing the halogen element or the number of layers, we can control the strength of electron correlations and, in turn, the material’s fundamental electronic state.
To uncover this relationship, we construct detailed many-body models for each compound using first-principles calculations and solve them with dynamical mean-field theory, a powerful computational method for capturing electron-electron interactions. These simulations reveal a clear progression across the series: behaves as a weakly correlated band insulator, and are more strongly correlated insulators, and exhibits the hallmark features of a Mott insulator, where electrons are localized by strong repulsion. We also identify distinctive fingerprints of these correlation effects in the predicted photoemission spectra and find experimental evidence consistent with the theoretical trend between and .
Our results demonstrate that compounds provide a versatile platform for engineering quantum materials with precisely tailored electronic correlations. Because their behavior can be tuned by chemical composition, thickness, and doping, they open the door to designing materials that host a wide range of strongly interacting quantum states.
Article Text
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In the monolayer limit, all four compounds host a single half-filled flat band around the Fermi level and, as a result of reduced screening, local Coulomb interaction matrix elements are larger than in the bulk (e.g., for monolayer [24] versus 1.5 eV in bulk according to Table 1). For a surface layer in a finite stack, the expectation is that is between the latter values, since there is screening from one side.
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