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arXiv · 2407.08613

Breaking of Lorentz invariance caused by the interplay between spin-orbit interaction and transverse phonon modes in quantum wires

D. V. Efremov·Weyner Ccuiro·Luis E. F. Foa Torres·M. N. Kiselev
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Abstract

We investigate Lorentz invariance breaking in quantum wires due to Rashba spin-orbit interaction and transverse phonons. Using bosonization, we derive an effective action coupling electronic and mechanical degrees of freedom. Stikingly, at a quantum phase transition between straight and bent wire states, we find a gapped phonon mode and a gapless mode with quadratic dispersion, signaling the breaking of Lorentz invariance. We explore stability conditions for general potentials and propose nano-mechanical back-action as a sensitive tool for detecting this transition, with implications for Sliding Luttinger Liquids and dimensional crossover studies.

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D. V. Efremov, Weyner Ccuiro, Luis E. F. Foa Torres, M. N. Kiselev. 2024-07-11. Breaking of Lorentz invariance caused by the interplay between spin-orbit interaction and transverse phonon modes in quantum wires. https://doi.org/10.1103/physrevresearch.7.l022016

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