Modulation induced transport signatures in correlated electron waveguides

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.

References in corpus (15)

• Anyons in an exactly solved model and beyond
• Correlated Electrons in High Temperature Superconductors
• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Effective low-energy theory for correlated carbon nanotubes
• A Universal Critical Density Underlying the Physics of Electrons at the LaAlO3/SrTiO3 Interface
• Luttinger liquid behavior in multi-wall carbon nanotubes
• Imaging the Wigner Crystal of Electrons in One Dimension
• Fractional Helical Liquids and Non-Abelian Anyons in Quantum Wires
• Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
• Pascal conductance series in ballistic one-dimensional LaAlO${}_3$/SrTiO${}_3$ channels
• Tunable electron-electron interactions in LaAlO3/SrTiO3 nanostructures
• Metal-insulator transition in a quantum wire driven by a modulated Rashba spin-orbit coupling
• Zero-Magnetic Field Fractional Quantum States
• Fractional Conductance in Strongly Interacting 1D Systems
• Shot-Noise in Fractional Wires: a Universal Fano-Factor Different than the Tunneling Charge

Cited by in corpus (2)

• One-dimensional Kronig-Penney superlattices at the LaAlO${}_3$/SrTiO${}_3$ interface
• Spin-orbit-assisted electron pairing in 1D waveguides