# Modulation induced transport signatures in correlatedelectron waveguides

### Submission summary

 As Contributors: Gal Shavit Preprint link: scipost_202008_00012v2 Date accepted: 2020-10-13 Date submitted: 2020-09-08 13:38 Submitted by: Shavit, Gal Submitted to: SciPost Physics Academic field: Physics Specialties: Condensed Matter Physics - Theory Approaches: Theoretical, Phenomenological

### Abstract

Recent transport experiments in spatially modulated quasi-1D structures created on top of LaAlO$_3$/SrTiO$_3$ interfaces have revealed some interesting features, including phenomena conspicuously absent without the modulation. In this work, we focus on two of these remarkable features and provide theoretical analysis allowing their interpretation. The first one is the appearance of two-terminal conductance plateaus at rational fractions of $e^2/h$. We explain how this phenomenon, previously believed to be possible only in systems with strong repulsive interactions, can be stabilized in a system with attraction in the presence of the modulation. Using our theoretical framework we find the plateau amplitude and shape, and characterize the correlated phase which develops in the system due to the partial gap, namely a Luttinger liquid of electronic trions. The second observation is a sharp conductance dip below a conductance of $1\times e^2/h$, which changes its value over a wide range when tuning the system. We theorize that it is due to resonant backscattering caused by a periodic spin-orbit field. The behavior of this dip can be reliably accounted for by considering the finite length of the electronic waveguides, as well as the interactions therein. The phenomena discussed in this work exemplify the intricate interplay of strong interactions and spatial modulations, and reveal the potential for novel strongly correlated phases of matter in systems which prominently feature both.

Published as SciPost Phys. 9, 051 (2020)

Dear Editor,
We would like to once again thank the referees for reviewing the revised manuscript. We have made some minor modifications to the manuscript following the recent questions and suggestions of Referee 2, for which we are grateful.
With this, we believe the manuscript is ready for publication.

Sincerely yours,
Gal Shavit and Yuval Oreg.

### List of changes

The changes made in the revised manuscript detailed in the responses to the referees.