Magnetic field induced Fabry-Pérot resonances in helical edge states

Abstract

We study electronic transport across a helical edge state exposed to a uniform magnetic ({$\vec{B}$}) field over a finite length. We show that this system exhibits Fabry-Pérot type resonances in electronic transport. The intrinsic spin anisotropy of the helical edge states allows us to tune these resonances by changing the direction of the {$\vec{B}$} field while keeping its magnitude constant. This is in sharp contrast to the case of non-helical one dimensional electron gases with a parabolic dispersion, where similar resonances do appear in individual spin channels ($\uparrow$ and $\downarrow$) separately which, however, cannot be tuned by merely changing the direction of the {$\vec{B}$} field. These resonances provide a unique way to probe the helical nature of the theory.

v1: 5 pages, 5 figures

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