Charge order in the kagome lattice Holstein model: A hybrid Monte Carlo study

Abstract

The Holstein model is a paradigmatic description of the electron-phonon interaction, in which electrons couple to local dispersionless phonon modes, independent of momentum. The model has been shown to host a variety of ordered ground states such as charge density wave (CDW) order and superconductivity on several geometries, including the square, honeycomb, and Lieb lattices. In this work, we study CDW formation in the Holstein model on the kagome lattice, using a recently developed hybrid Monte Carlo simulation method. We present evidence for $\sqrt{3}\times \sqrt{3}$ CDW order at an average electron filling of $⟨n⟩=2/3$ per site, with an ordering wavevector at the $K$-points of the Brillouin zone. We estimate a phase transition occurring at $T_c\approx t/18$, where $t$ is the nearest-neighbor hopping parameter. Our simulations find no signature of CDW order at other electron fillings or ordering momenta for temperatures $T\ge t/20$.

arXiv comment13 pages, 11 figures. v2: Minimal changes for consistency with published article

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• Nanoscale visualization and spectral fingerprints of the charge order in ScV6Sn6 distinct from other kagome metals
• Kekulé valence bond order in the honeycomb lattice optical Su-Schrieffer-Heeger Model and its relevance to Graphene
• The influence of phonon symmetry and electronic structure on the electron-phonon coupling momentum dependence in cuprates
• Tuning superconductivity and charge density wave order by next-nearest-neighbor hopping integral in honeycomb Holstein model