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Tunneling conductance of long-range Coulomb interacting Luttinger liquid

TitleTunneling conductance of long-range Coulomb interacting Luttinger liquid
Publication TypeJournal Article
Year of Publication2020
AuthorsDD. Vu, A. Iucci, and D. S. Sarma
JournalPhys. Rev. Res.
Volume2
Date Publishedmay
Abstract

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling experiments. However, some physical systems have long-range interaction, most notably the Coulomb interaction, leading to significantly different behaviors from the short-range interacting system. In this paper, we revisit the tunneling theory for the one-dimensional electrons interacting via the long-range Coulomb force. We show that, even though in a small dynamic range of temperature and bias voltage the tunneling conductance may appear to have a power-law decay similar to short-range interacting systems, the effective exponent is scale dependent and slowly increases with decreasing energy. This factor may lead to the sample-to-sample variation in the measured tunneling exponents. We also discuss the crossover to a free Fermi gas at high energy and the effect of the finite size. Our work demonstrates that experimental tunneling measurements in one-dimensional electron systems should be interpreted with great caution when the system is a Coulomb Luttinger liquid.

DOI10.1103/PhysRevResearch.2.023246