Physics of SrTiO₃-based heterostructures and nanostructures: a review.

1 Overview 1 1.1 Introduction 1 1.1.1 Oxide growth techniques are rooted in search for high-Tc superconductors 2 1.1.2 First reports of interface conductivity 2 1.2 2D physics 2 1.3 Emergent properties of oxide heterostructures and nanostructures 3 1.4 Outline 3 2 Relevant properties of SrTiO3 3 2.1 Structural properties and transitions 3 2.2 Ferroelectricity, Paraelectricity and Quantum Paraelectricity 4 2.3 Electronic structure 5 2.4 Defects 6 2.4.1 Oxygen vacancies 6 2.4.2 Terraces 7 2.5 Superconductivity 7 3 SrTiO3-based heterostructures and nanostructures 8 3.1 Varieties of heterostructures 8 3.1.1 SrTiO3 only 9 3.1.2 LaAlO3/SrTiO3 9 3.1.3 Other heterostructures formed with SrTiO3 10 3.2 Thin-film growth 10 3.2.1 Substrates 10 3.2.2 SrTiO3 surface treatment 11 3.2.3 Pulsed Laser Deposition 11 3.2.4 Atomic Layer Deposition 13 3.2.5 Molecular Beam Epitaxy 14 3.2.6 Sputtering 15 3.3 Device Fabrication 15 3.3.1 "Conventional" photolithography - Thickness Modulation, hard masks, etc. 15 3.3.2 Ion beam irradiation 16 3.3.3 Conductive-AFM lithography 16 4 Properties and phase diagram of LaAlO3/SrTiO3 16 4.1 Insulating state 16 4.2 Conducting state 17 4.2.1 Confinement thickness (the depth profile of the 2DEG) 17 4.3 Metal-insulator transition and critical thickness 18 4.3.1 Polar catastrophe ( electronic reconstruction) 18 4.3.2 Oxygen Vacancies 19 4.3.3 Interdiffusion 20 4.3.4 Polar Interdiffusion + oxygen vacancies + antisite pairs 20 4.3.5 Role of surface adsorbates 21 4.3.6 Hidden FE like distortion - Strain induced instability 21 4.4 Structural properties and transitions 21 4.5 Electronic band structure 22 4.5.1 Theory 22 4.5.2 Experiment 23 4.5.3 Lifshitz transition 24 4.6 Defects, doping, and compensation 25 4.7 Magnetism 25 4.7.1 Experimental evidence 25 4.7.2 Two types of magnetism 27 4.7.3 Ferromagnetism 27 4.7.4 Metamagnetism 28 4.8 Superconductivity 28 4.9 Optical properties 29 4.9.1 Photoluminesce experiments 29 4.9.2 Second Harmonic Generation 29 4.10 Coexistence of superconductivity and magnetism 30 4.11 Magnetic and conducting phases 30 5 Quantum transport in LaAlO3/SrTiO3 heterostructures and microstructures 31 5.1 2D transport 31 5.2 Inhomogeneous Transport 31 5.3 Anisotropic Magnetoresistance 32 5.4 Spin-orbit coupling 32 5.5 Anomalous Hall Effect 34 5.6 Shubnikov-de Haas (SdH) Oscillation 35 5.7 Quantum Hall Effect 37 5.8 Spintronic Effects 38 6 Quantum transport in LaAlO3/SrTiO3 nanostructures 39 6.1 Quasi-1D Superconductivity 39 6.2 Universal conductance fluctuations 40 6.3 Dissipationless Electronic Waveguides 40 6.4 Superconducting Quantum Interference Devices (SQUID) 41 6.5 Electron pairing without superconductivity 41 6.6 Tunable Electron-Electron Interaction 42 7 Outlook 43 7.1 Outstanding physics questions 43 7.1.1 Polar catastrophe (not) 43 7.1.2 Coexistence of phases 43 7.1.3 Novel superconducting states (e.g., FFLO, other pairing symmetries) 43 7.1.4 Magnetism mechanism 43 7.1.5 Exotic phases (eg. Majorana physics) 43 7.1.6 Luttinger liquids 44 7.2 Future applications 44 7.2.1 Spintronics 44 7.2.2 Quantum simulation 44 7.2.3 Qubits/quantum computing 44 7.2.4 Sensing 44 8 Figures 45 9 Reference 6.