Origin and Transport Signatures of Spin-Orbit Interactions in One- and Two-Dimensional SrTiO${}_3$-Based Heterostructures

Abstract

We study origin of Rashba spin-orbit interaction at SrTiO${}_3$ surfaces and LaAlO${}_3$/SrTiO${}_3$ interfaces by considering the interplay between atomic spin-orbit coupling and inversion asymmetry at the surface or interface. We show that, in a simple tight-binding model involving 3d $t_{2g}$ bands of Ti ions, the induced spin-orbit coupling in the $d_{xz}$ and $d_{yz}$ bands is cubic in momentum whereas the spin-orbit interaction in the $d_{xy}$ band has linear momentum dependence. We also find that the spin-orbit interaction in one-dimensional channels at LaAlO${}_3$/SrTiO${}_3$ interfaces is linear in momentum for all bands. We discuss implications of our results for transport experiments on SrTiO${}_3$ surfaces and LaAlO${}_3$/SrTiO${}_3$ interfaces. In particular, we analyze the effect of a given spin-orbit interaction term on magnetotransport of LaAlO${}_3$/SrTiO${}_3$ by calculating weak anti-localization corrections to the conductance and to universal conductance fluctuations.

References in corpus (5)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Magnetic effects at the interface between nonmagnetic oxides
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• Rashba induced magnetoconductance oscillations in the LaAlO3-SrTiO3 heterostructure
• Magnetic and Superconducting Ordering at LaAlO3/SrTiO3 Interfaces

Cited by in corpus (61)

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• Topological superconductivity and unconventional pairing in oxide interfaces
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• Large modulation of the Shubnikov-de Haas oscillations by the Rashba interaction at the LaAlO${}_3$/SrTiO${}_3$ interface
• Competition Between Kondo Screening and Magnetism at the LaAlO${}_3$/SrTiO${}_3$ Interface
• Spin responses and effective Hamiltonian for the two dimensional electron gas at oxide interface {LaAlO}${}_3$/{SrTiO}${}_3$
• Competition between electron pairing and phase coherence in superconducting interfaces
• Phase diagrams of voltage-gated oxide interfaces with strong Rashba coupling
• Theory of the spin galvanic effect at oxide interfaces
• Efficient intrinsic spin-to-charge current conversion in an all-epitaxial single-crystal perovskite-oxide heterostructure of La0.67Sr0.33MnO3/LaAlO3/SrTiO3
• Gate Tunable In- and Out-Of-Plane Spin-Orbit Coupling and Spin Splitting Anisotropy at LaAlO3/SrTiO3 (110) Interface
• Enhanced spin-orbit interaction and Kondo scattering in $\delta$-doped LaTiO${}_3$/SrTiO${}_3$ interfaces
• Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking
• Absence of Giant Spin Splitting in the Two-Dimensional Electron Liquid at the Surface of SrTiO${}_3$ (001)
• Nature of Orbital and Spin Rashba Coupling in the Surface Bands of SrTiO3 and KTaO3
• Magneto-transport study of top- and back-gated LaAlO${}_3$/SrTiO${}_3$ heterostructures
• Theory of a chiral Fermi liquid: general formalism
• Tuning Rashba spin-orbit coupling at LaAlO3/SrTiO3 interfaces by band filling
• Enhanced spin-orbit coupling and charge carrier density suppression in LaAl1-xCrxO3/SrTiO3 heterointerfaces
• 2D surprises at the surface of 3D materials: confined electron systems in transition metal oxides
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• Phonon Hall effect with first-principles calculations
• Semiclassical theory of anisotropic transport at LaAlO3/SrTiO3 interfaces under in-plane magnetic field
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• Signature of enhanced spin-orbit interaction in the magnetoresistance of LaTiO${}_3$/SrTiO${}_3$ interfaces on $\delta$-doping
• Magnetic and nematic orders of the 2DEG at oxide (111) surfaces and interfaces
• The mechanism of spin-orbit coupling in a 2D oxide interface
• Theoretical models of Rashba spin splitting in asymmetric SrTiO3-based heterostructures
• Anisotropic electronic transport of the two-dimensional electron system in Al2O3/SrTiO3 heterostructures
• Van Hove scenario of anisotropic transport in a two-dimensional spin-orbit coupled electron gas in an in-plane magnetic field
• Plasmons at the LaAlO${}_3$/SrTiO${}_3$ interface and Graphene-LaAlO${}_3$/SrTiO${}_3$ double layer
• Experimental Evidence of t2g Electron-Gas Rashba Interaction Induced by Asymmetric Orbital Hybridization
• Tunable Rashba spin-orbit coupling and its interplay with multiorbital effect and magnetic ordering at oxide interfaces
• Tunable spin and orbital polarization in SrTiO3-based heterostructures
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Magnetic and transport signatures of Rashba spin-orbit coupling on the ferromagnetic Kondo lattice model in two dimensions
• Subband structure of two-dimensional electron gases in SrTiO3
• Electrical and thermoelectric transport properties of two-dimensional fermionic systems with $k$-cubic spin-orbit coupling
• Electron mobility of a two-dimensional electron gas at the interface of SrTiO${}_3$ and LaAlO${}_3$
• $d_{xz/yz}$ Orbital Subband Structures and Chiral Orbital Angular Momentum in the (001) Surface States of SrTiO${}_3$
• Helical currents in metallic Rashba strips
• Possible Flexoelectric Origin of the Lifshitz Transition in LaAlO${}_3$/SrTiO${}_3$ Interfaces
• Kondo effect with tunable spin orbit interaction in LaTiO3/CeTiO3/SrTiO3 heterostructure
• Anisotropic Magnetoresistance in Multiband Systems: 2DEGs and Polar Metals at Oxide Interfaces
• One-dimensional Kronig-Penney superlattices at the LaAlO${}_3$/SrTiO${}_3$ interface
• Spin-orbit-assisted electron pairing in 1D waveguides
• Low temperature magnetoresistance of (111) (La${}_{0.3}$Sr${}_{0.7}$)(Al${}_{0.65}$Ta${}_{0.35}$)/SrTiO${}_3$
• Anti-Localization in Oxides: Effective Spin-3/2 Model
• Theoretical analysis of the inverse Edelstein effect at the LaAlO${}_3$ / SrTiO${}_3$ interface with an effective tight-binding model: Important role of the second $d_{xy}$ subband
• Optical conductivity of a 2DEG with anisotropic Rashba interaction at the interface of LaAlO${}_3$/SrTiO${}_3$
• Magnetotransport of a 2DEG with anisotropic Rashba interaction at the LaAlO${}_3$/SrTiO${}_3$ interface
• Electronic transport in thin films of BaPbO${}_3$: Unraveling two-dimensional quantum effects
• Tuning spin orbit interaction in high quality gate-defined InAs one-dimensional channels
• Anomalous Hall and Nernst effects in a two-dimensional electron gas with an anisotropic cubic Rashba spin-orbit interaction
• Engineering Helical Superconductors with Multiple Majorana Kramers Pairs via Higher-Order Rashba Spin-Orbit Coupling
• Potential Fluctuations at Low Temperatures in Mesoscopic-Scale SmTiO${}_3$/SrTiO${}_3$/SmTiO${}_3$ Quantum Well Structures
• Magnetotransport of Functional Oxide Heterostructures Affected by Spin-Orbit Coupling: A Tale of Two-Dimensional Systems
• Bilinear magnetoresistance in 2DEG with isotropic cubic Rashba spin-orbit interaction