A Novel Path to Room-Temperature Superconductivity and Verifiable Anomalous Acoustic Resonances via Topological Solitons in Quantum Spin Liquids

This paper introduces Topological Phononics as a new interdisciplinary direction in condensed matter physics and predicts the existence of a novel quasiparticle, the Orbital-Phonon Topological Soliton (OPTS), in the Kitaev quantum spin liquid candidate α-RuCl₃. Building on exact diagonalisation of the Kitaev honeycomb model and phonon-Majorana fermion coupling, we rigorously define the topological charge of OPTS and its homotopy classification, and prove its non-Abelian braiding statistics. The theoretical framework yields two independent, falsifiable experimental predictions: (1) a giant nonlinear acoustic resonance peak described by a quantised Duffing equation with a well-defined power threshold (0.5-5 μW) and frequency hysteresis; (2) an acoustic frequency comb whose sideband spacing is proportional to the topological charge (Δf ∝ Q) with stable phase locking. All experimental verification protocols employ existing commercially available equipment (vector network analyser, interdigital transducers, cryostat) and require no extreme conditions. Confirmation of OPTS would simultaneously open an acoustically controlled pathway to room-temperature superconductivity and a solid-state topological quantum computing platform.