Emergence of a Luttinger Liquid Phase in an Array of Chiral Molecules

• URL: http://arxiv.org/abs/2602.10002v1
• Date: Tue, 10 Feb 2026 17:23:36 GMT
• Title: Emergence of a Luttinger Liquid Phase in an Array of Chiral Molecules
• Authors: Muhammad Arsalan Ali Akbar, Bretislav Friedrich, Sabre Kais,
• Abstract summary: We propose a robust platform for simulating chiral quantum magnetism using linear arrays of trapped asymmetric top molecules.<n>By mapping the Stark-dressed rotational states onto an effective spin-$1/2$ subspace, we rigorously derive a generalized $XXZ$ Heisenberg Hamiltonian governing the underlying many-body dynamics.<n>Our results establish 1,2-propanediol arrays as a versatile quantum simulator, providing a direct microscopic link between molecular chirality and topological many-body phases.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a robust platform for simulating chiral quantum magnetism using linear arrays of trapped asymmetric top molecules, specifically 1,2-propanediol ($\mathrm{C_{3}H_{8}O_{2}}$). By mapping the Stark-dressed rotational states onto an effective spin-$1/2$ subspace, we rigorously derive a generalized $XXZ$ Heisenberg Hamiltonian governing the underlying many-body dynamics. Unlike standard solid-state models where the topological Dzyaloshinskii-Moriya Interaction (DMI) is introduced phenomenologically, we demonstrate that DMI emerges \textit{ab initio} from the molecular stereochemistry. Specifically, the interference between the transition dipole moments of heterochiral enantiomer pairs (L-R), which breaks inversion symmetry, generates a tunable DMI that stabilizes a Chiral Luttinger Liquid phase. Through a comprehensive phase-diagram analysis, we identify an optimal experimental regime characterized by intermolecular separations of \( r \approx 1.5~\mathrm{nm} \) and intermediate electric-field strengths \( d\varepsilon/B \approx 2.5 \). In this window, the system is protected from trivial field-polarized phases and exhibits a robust gapless spin-spiral texture. Our results establish 1,2-propanediol arrays as a versatile quantum simulator, providing a direct microscopic link between molecular chirality and topological many-body phases.

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