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

Autor:	Efremov, D. V., Ccuiro, Weyner, Torres, Luis E. F. Foa, Kiselev, M. N.
Rok vydání:	2024
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Strongly Correlated Electrons
Druh dokumentu:	Working Paper
Popis:	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. Comment: 6 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.08613 Zobrazit plný text záznamu View this record from Arxiv