The Peierls instability, the spontaneous dimerization of a one-dimensional metallic chain at half-filling, is a paradigmatic mechanism for charge-density-wave (CDW) formation. Here, we test its robustness under finite doping and interchain hybridization in finite-thickness arrays of identical chains. We find that the stacking geometry plays a decisive role in stabilizing CDW order away from half-filling. Parallel-coupled chains exhibit a bistable regime where the normal and dimerized states coexist as local minima of the total energy, while skew-coupled chains display reentrant CDW order upon doping. Our results demonstrate that even minimal models of coupled atomic chains host rich phase diagrams controlled by doping, lattice rigidity, and interchain coupling geometry.

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• Charge density waves
• Doping effects
• Electronic structure
• Peierls transition
• 1-dimensional systems