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arXiv · 1809.01631

Tunneling into a finite Luttinger liquid coupled to noisy capacitive leads

Antonio Štrkalj·Michael S. Ferguson·Tobias M. R. Wolf·Ivan Levkivskyi·Oded Zilberberg
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Abstract

Tunneling spectroscopy of one-dimensional interacting wires can be profoundly sensitive to the boundary conditions of the wire. Here, we analyze the tunneling spectroscopy of a wire coupled to capacitive metallic leads. Strikingly, with increasing many-body interactions in the wire, the impact of the boundary noise becomes more prominent. This interplay allows for a smooth crossover from standard 1D tunneling signatures into a regime where the tunneling is dominated by the fluctuations at the leads. This regime is characterized by elevated zero-bias tunneling alongside a universal power-law decay at high energies. Furthermore, local tunneling measurements in this regime show a unique spatial-dependence that marks the formation of plasmonic standing waves in the wire. Our result offers a tunable method by which to control the boundary effects and measure the interaction strength (Luttinger parameter) within the wire.

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Antonio Štrkalj, Michael S. Ferguson, Tobias M. R. Wolf, Ivan Levkivskyi, Oded Zilberberg. 2018-09-05. Tunneling into a finite Luttinger liquid coupled to noisy capacitive leads. https://doi.org/10.1103/physrevlett.122.126802

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