Charge transport of a spin-orbit-coupled Luttinger liquid

Chen-Hsuan Hsu, Peter Stano, Yosuke Sato, Sadashige Matsuo, Seigo Tarucha, and Daniel Loss
Phys. Rev. B 100, 195423 – Published 21 November 2019

Abstract

The charge transport of a (Tomonaga-)Luttinger liquid with tunnel barriers exhibits universal scaling: the current-voltage curves measured at various temperatures collapse into a single curve upon rescaling. The exponent characterizing this single curve can be used to extract the strength of electron-electron interaction. Motivated by a recent experiment on InAs nanowires [Y. Sato et al., Phys. Rev. B 99, 155304 (2019)], we theoretically investigate the analogous behavior of a spin-orbit-coupled Luttinger liquid. We find that the scaling exponent differs for different impurity strengths, being weak (disorder potential) or strong (tunnel barriers), and their positions, either in the bulk or near the edge of the wire. For each case we quantify the exponent of the universal scaling and its modification due to the spin-orbit coupling. Our findings serve as a guide in the determination of the interaction strength of quasi-one-dimensional spin-orbit-coupled quantum wires from transport measurements.

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  • Received 14 May 2019
  • Revised 2 September 2019

DOI:https://doi.org/10.1103/PhysRevB.100.195423

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Chen-Hsuan Hsu1, Peter Stano1,2,3, Yosuke Sato2, Sadashige Matsuo1,2,4, Seigo Tarucha1,2, and Daniel Loss1,5

  • 1RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
  • 2Department of Applied Physics, School of Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
  • 3Institute of Physics, Slovak Academy of Sciences, 845 11 Bratislava, Slovakia
  • 4JST, PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
  • 5Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland

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Issue

Vol. 100, Iss. 19 — 15 November 2019

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