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PreprintCC BY 4.0arXiv

Orbital-Selective Mott and Antiferromagnetic Phases in Diagonally Compressed Kagome Lattice

Abstract

We perform determinant quantum Monte Carlo simulations of the half-filled Hubbard model on a diagonally compressed kagome lattice, introducing exponential decay long-range hopping t(r) = t0 exp(−r / r0) to account for the evolving bond length. By varying the lattice angle θ and the on-site interaction U, double occupancy, charge compressibility, and spin-spin correlation functions of the whole system and each sub-lattice are measured. We find that geometric compression induces a clear sublattice differentiation: for θ≳52∘, the A sublattice establishes long-range hoppings, which in turn suppresses the metallic behavior of the B/C sublattice and drives a selective Mott transition; for θ≲52∘, the B-C chains develop long-range antiferromagnetic correlations within the finite-size simulations, which in turn suppresses the metallic behavior of the A sublattice and drives a selective Mott transition. The critical interaction UcA for the A sites decreases sharply near the onset of B-C antiferromagnetic correlations, while UcB/C increases. These competing orders give rise to an orbital-selective Mott phase and a rich U-θ phase diagram featuring paramagnetic-metal, paramagnetic-Mott, antiferromagnetic-metal, and antiferromagnetic-Mott states. Our results highlight the complex interplay between lattice geometry, magnetic frustration, and strong correlations in frustrated two-dimensional systems.

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BibTeX
@misc{ding2026orbitalselective,
  title = {{Orbital-Selective Mott and Antiferromagnetic Phases in Diagonally Compressed Kagome Lattice}},
  author = {Jiewei Ding and Ho-Kin Tang and Wing Chi Yu},
  howpublished = {arXiv},
  year = {2026},
  month = jul,
  doi = {10.48550/arxiv.2607.04621},
  eprint = {2607.04621},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.04621},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Orbital-Selective Mott and Antiferromagnetic Phases in Diagonally Compressed Kagome Lattice
AU  - Jiewei Ding
AU  - Ho-Kin Tang
AU  - Wing Chi Yu
PY  - 2026
DA  - 2026/07/06
PB  - arXiv
DO  - 10.48550/arxiv.2607.04621
UR  - https://arxiv.org/abs/2607.04621
AB  - We perform determinant quantum Monte Carlo simulations of the half-filled Hubbard model on a diagonally compressed kagome lattice, introducing exponential decay long-range hopping t(r) = t_0 exp(−r / r_0) to account for the evolving bond length. By varying the lattice angle θ and the on-site interaction U, double occupancy, charge compressibility, and spin-spin correlation functions of the whole system and each sub-lattice are measured. We find that geometric compression induces a clear sublattice differentiation: for θ≳52^∘, the A sublattice establishes long-range hoppings, which in turn suppresses the metallic behavior of the B/C sublattice and drives a selective Mott transition; for θ≲52^∘, the B-C chains develop long-range antiferromagnetic correlations within the finite-size simulations, which in turn suppresses the metallic behavior of the A sublattice and drives a selective Mott transition. The critical interaction U^c_A for the A sites decreases sharply near the onset of B-C antiferromagnetic correlations, while U^c_B/C increases. These competing orders give rise to an orbital-selective Mott phase and a rich U-θ phase diagram featuring paramagnetic-metal, paramagnetic-Mott, antiferromagnetic-metal, and antiferromagnetic-Mott states. Our results highlight the complex interplay between lattice geometry, magnetic frustration, and strong correlations in frustrated two-dimensional systems.
ER  -