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arXiv · 1601.01684

Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid

Hong-Yi Xie·Heqiu Li·Yang-Zhi Chou·Matthew S. Foster
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Abstract

The 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.

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Hong-Yi Xie, Heqiu Li, Yang-Zhi Chou, Matthew S. Foster. 2016-02-25. Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid. https://doi.org/10.1103/physrevlett.116.086603

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