Dynamical transport measurement of the Luttinger parameter in helical edges states of 2D topological insulators

Abstract

One-dimensional (1D) electron systems in the presence of Coulomb interaction are described by Luttinger liquid theory. The strength of Coulomb interaction in the Luttinger liquid, as parameterized by the Luttinger parameter K, is in general difficult to measure. This is because K is usually hidden in powerlaw dependencies of observables as a function of temperature or applied bias. We propose a dynamical way to measure K on the basis of an electronic time-of-flight experiment. We argue that the helical Luttinger liquid at the edge of a 2D topological insulator constitutes a preeminently suited realization of a 1D system to test our proposal. This is based on the robustness of helical liquids against elastic backscattering in the presence of time reversal symmetry.

7 pages, 4 figures

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Cited by in corpus (11)

• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Driven dissipative dynamics and topology of quantum impurity systems
• Helical Liquids in Semiconductors
• Shaping charge excitations in chiral edge states with a time-dependent gate voltage
• Dynamical separation of bulk and edge transport in HgTe-based 2D topological insulators
• Charge and energy fractionalization mechanism in one-dimensional channels
• Transient and Sharvin resistances of Luttinger liquids
• Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer
• Time-resolved measurement of ambipolar edge magnetoplasmon transport in InAs/InGaSb composite quantum wells
• Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
• 1D half-filled paramagnetic Hubbard model.The Luttinger critical exponents