Pascal conductance series in ballistic one-dimensional LaAlO${}_3$/SrTiO${}_3$ channels

Abstract

The ability to create and investigate composite fermionic phases opens new avenues for the investigation of strongly correlated quantum matter. We report the experimental observation of a series of quantized conductance steps within strongly interacting electron waveguides formed at the LaAlO${}_3$/SrTiO${}_3$ interface. The waveguide conductance follows a characteristic sequence within Pascal's triangle: $(1,3,6,10,15,...)\cdot e^2/h$, where $e$ is the electron charge and $h$ is the Planck constant. The robustness of these steps with respect to magnetic field and gate voltage indicate the formation of a new family of degenerate quantum liquids formed from bound states of $n=2,3,4,...$ electrons. These experiments could provide solid-state analogues for a wide range of composite fermionic phases ranging from neutron stars to solid-state materials to quark-gluon plasmas.

References in corpus (21)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Landauer Conductance of Luttinger Liquids with Leads
• Spin-Imbalance in a One-Dimensional Fermi Gas
• From density-matrix renormalization group to matrix product states
• Theory of finite-entanglement scaling at one-dimensional quantum critical points
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Applying matrix product operators to model systems with long-range interactions
• "Water-cycle" mechanism for writing and erasing nanostructures at the LaAlO3/SrTiO3 interface
• The phase diagram of the anisotropic spin-2 XXZ model: an infinite system DMRG study
• Sliding Phases in XY-Models, Crystals, and Cationic Lipid-DNA Complexes
• Electron Attraction Mediated by Coulomb Repulsion
• Infinite size density matrix renormalization group, revisited
• Pairing in Luttinger Liquids and Quantum Hall States
• Tunable electron-electron interactions in LaAlO3/SrTiO3 nanostructures
• Finding the elusive sliding phase in superfluid-normal phase transition smeared by c-axis disorder
• An Anomalously Elastic, Intermediate Phase in Randomly Layered Superfluids, Superconductors, and Planar Magnets
• Quantized Ballistic Transport of Electrons and Electron Pairs in LaAlO${}_3$/SrTiO${}_3$ Nanowires

Cited by in corpus (21)

• Engineered spin-orbit interactions in LaAlO${}_3$/SrTiO${}_3$-based 1D serpentine electron waveguides
• Analytic approach to transport in superconducting junctions with arbitrary carrier density
• Quantized critical supercurrent in SrTiO${}_3$-based quantum point contacts
• Nanoscale control of LaAlO3/SrTiO3 metal-insulator transition using ultra-low-voltage electron-beam lithography
• Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
• Clock model and parafermions in Rashba nanowires
• Electron Pairing and Nematicity in LaAlO${}_3$/SrTiO${}_3$ Nanostructures
• Superconducting quantum oscillations and anomalous negative magnetoresistance in a honeycomb nanopatterned oxide interface superconductor
• One-dimensional Kronig-Penney superlattices at the LaAlO${}_3$/SrTiO${}_3$ interface
• Irreversible multi-band effects and Lifshitz transitions at the LaAlO3/SrTiO3 interface under field effect
• Spin-orbit-assisted electron pairing in 1D waveguides
• Modulation induced transport signatures in correlated electron waveguides
• Domain wall nature of sketched LaAlO3/SrTiO3 nanowires
• Electronic transport in sub-micrometric channels at the LaAlO${}_3$/SrTiO${}_3$ interface
• Surface charge writing and non-volatile control of superconductivity in LaAlO3/KTaO3(111) heterostructure
• Conductance of correlated many-fermion systems from charge fluctuations
• A Milli-Kelvin Atomic Force Microscope Made of Glass
• Local inhomogeneities resolved by scanning probe techniques and their impact on local 2DEG formation in oxide heterostructures
• Imaging GHz surface acoustic wave modes in electrostricted LaAlO${}_3$/SrTiO${}_3$ heterostructures
• Reconfigurable Oxide Nanoelectronics by Tip-induced Electron Delocalization
• High-quality Nano-patterning of Oxide Interfaces Using Transferred Gold Mask