Dynamical response of dissipative helical edge states
Doru Sticlet, J\'er\^ome Cayssol
TL;DR
This paper investigates how helical edge states in quantum spin Hall insulators respond dynamically to time-dependent flux biasing, considering dissipation and perturbations, and proposes a method to measure relaxation times.
Contribution
It introduces a way to determine the relaxation time of edge carriers through dissipative response measurements in topological insulator disks.
Findings
Relaxation time can be extracted from dissipative response measurements.
Zeeman coupling and disorder affect the dynamical response.
The study provides insights into dissipative processes in topological edge states.
Abstract
Quantum spin Hall insulators are characterized by topologically protected counterpropagating edge states. Here we study the dynamical response of these helical edge states under a time-dependent flux biasing, in the presence of a heat bath. It is shown that the relaxation time of the edge carriers can be determined from a measurement of the dissipative response of topological insulator disks. The effects of various perturbations, including Zeeman coupling and disorder, are also discussed.
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