Engineered spin-orbit interactions in LaAlO${}_3$/SrTiO${}_3$-based 1D serpentine electron waveguides

Abstract

The quest to understand, design, and synthesize new forms of quantum matter guides much of contemporary research in condensed matter physics. One-dimensional (1D) electronic systems form the basis for some of the most interesting and exotic phases of quantum matter. The variety of experimentally-accessible ballistic 1D electronic systems is highly restricted, and furthermore these systems typically have few tuning parameters other than electric and magnetic fields. However, electron waveguides formed from two-dimensional (2D) LaAlO${}_3$/SrTiO${}_3$ heterointerfaces exhibit remarkable 1D properties, including ballistic multi-mode transport and strong attractive electron-electron interaction, but these systems conspicuously lack strong or tunable spin-orbit interactions. Here we describe a new class of quasi-1D nanostructures, based on LaAlO${}_3$/SrTiO${}_3$ electron waveguides, in which a sinusoidal transverse spatial modulation is imposed. Nanowires created with this "serpentine" modulation display unique dispersive features in the subband spectra, namely (1) a significant shift ($\sim$ 7 tesla) in the spin-dependent subband minima, and (2) fractional conductance plateaus, some of which are continuously tunable with a magnetic field. The first property can be understood as an engineered spin-orbit interaction associated with the periodic acceleration of electrons as they undulate through the nanowire (ballistically), while the second property signifies the presence of enhanced electron-electron scattering in this system due to the imposed periodic structure. The ability to engineer these interactions in quantum wires contributes to the tool set of a 1D solid-state quantum simulation platform.

References in corpus (26)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Quantum Simulation
• A spin-orbit coupled Bose-Einstein condensate
• Synthetic magnetic fields for ultracold neutral atoms
• Observation of a Discrete Time Crystal
• Tunable Rashba spin-orbit interaction at oxide interfaces
• The cold atom Hubbard toolbox
• Possible Spin Polarization in a One-Dimensional Electron Gas
• Quantum spin dynamics and entanglement generation with hundreds of trapped ions
• Tuning spin-orbit coupling and superconductivity at the SrTiO3/LaAlO3 interface: a magneto-transport study
• Physics of SrTiO${}_3$-based heterostructures and nanostructures: a review
• The Fractional Quantum Hall effect in an array of quantum wires
• Observation of Long-lived Vortex Aggregates in Rapidly Rotating Bose-Einstein Condensates
• "Water-cycle" mechanism for writing and erasing nanostructures at the LaAlO3/SrTiO3 interface
• Fractional Helical Liquids and Non-Abelian Anyons in Quantum Wires
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Electron Attraction Mediated by Coulomb Repulsion
• Quantum Simulation of the Hubbard Model with Dopant Atoms in Silicon
• Ballistic Spin Resonance
• Pascal conductance series in ballistic one-dimensional LaAlO${}_3$/SrTiO${}_3$ channels
• Zero-Magnetic Field Fractional Quantum States
• Fractional Conductance in Strongly Interacting 1D Systems
• Shubnikov-de Haas-like Quantum Oscillations in Artificial One-Dimensional LaAlO3/SrTiO3 Electron Channels
• Mapping repulsive to attractive interaction in driven-dissipative quantum systems

Cited by in corpus (5)

• Electron Pairing and Nematicity in LaAlO${}_3$/SrTiO${}_3$ Nanostructures
• One-dimensional Kronig-Penney superlattices at the LaAlO${}_3$/SrTiO${}_3$ interface
• Spin-orbit-assisted electron pairing in 1D waveguides
• Higher Chern Number States in Curved Periodic Nanowires
• Reconfigurable Oxide Nanoelectronics by Tip-induced Electron Delocalization