Xie, Hong-YiLi, HeqiuChou, Yang-ZhiFoster, Matthew S.2017-05-092017-05-092016Xie, Hong-Yi, Li, Heqiu, Chou, Yang-Zhi, et al.. "Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid." <i>Physical Review Letters,</i> 116, no. 8 (2016) American Physical Society: https://doi.org/10.1103/PhysRevLett.116.086603.https://hdl.handle.net/1911/94220The combination of Rashba spin-orbit coupling and potential disorder induces a random current operator for the edge states of a 2D topological insulator. We prove that charge transport through such an edge is ballistic at any temperature, with or without Luttinger liquid interactions. The solution exploits a mapping to a spin 1/2 in a time-dependent field that preserves the projection along one randomly undulating component (integrable dynamics). Our result is exact and rules out random Rashba backscattering as a source of temperature-dependent transport, absent integrability-breaking terms.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlehttps://doi.org/10.1103/PhysRevLett.116.086603