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arXiv · 2512.07491

Interplay of Kekul\'{e} bond order and lattice instability in $\mathrm{C}_6\mathrm{Li}$

Yuanhao Zhang·Zi Yuan·Xiangru Kong·Weijiang Gong·Shaozhi Li
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Abstract

Understanding the interplay between charge order and lattice instability in quantum materials remains a central challenge, as their coexistence often obscures causal relationships. This work introduces $\mathrm{C}_6\mathrm{Li}$ as a novel platform to investigate charge order mediated by two distinct mechanisms. We show that the hybridization between carbon $\pi$ and lithium $s$ orbitals generates an effective long-range hopping within Li-centered hexagons. This hopping drives a Kekul\'{e} bond order, whose structure varies with charge density and the sign of the hopping. This bond order induces a Kekul\'{e} lattice distortion via electron-phonon coupling. In the limit where lithium atoms are distant from the graphene layer, a Fermi surface nesting-driven Kekul\'{e} bond order emerges, stabilized by the electron-phonon interaction. Our results establish $\mathrm{C}_6\mathrm{Li}$ as a tunable platform for elucidating the causal hierarchy between electronic and structural orders in quantum materials.

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Yuanhao Zhang, Zi Yuan, Xiangru Kong, Weijiang Gong, Shaozhi Li. 2025-12-08. Interplay of Kekul\'{e} bond order and lattice instability in $\mathrm{C}_6\mathrm{Li}$. https://arxiv.org/abs/2512.07491

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