Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces

Abstract

The theoretical understanding of the spin-orbit coupling (SOC) effects at LaAlO${}_3$/SrTiO${}_3$ interfaces and SrTiO${}_3$ surfaces is still in its infancy. We perform first-principles density-functional-theory calculations and derive from these a simple tight-binding Hamiltonian, through a Wannier function projection and group theoretical analysis. We find striking differences to the standard Rashba theory for spin-orbit coupling in semiconductor heterostructures due to multi-orbital effects: by far the biggest SOC effect is at the crossing point of the $xy$ and $yz$ (or $zx$) orbitals; and around the $\Gamma$ point a Rashba spin splitting with a cubic dependence on the wave vector $\vec{k}$ is possible.

The second version explains the k-cubic Rasha effect and the anisotropy found experimentally respectively. It also includes DFT calculations for an antisymmetric interfaces with more layers

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• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Tunable Rashba spin-orbit interaction at oxide interfaces
• Unveiling a two-dimensional electron gas with universal subbands at the surface of SrTiO3
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• A Universal Critical Density Underlying the Physics of Electrons at the LaAlO3/SrTiO3 Interface
• Avoiding the polarization catastrophe in LaAlO3 overlayers on SrTiO3(001) through a polar distortion
• Dominant mobility modulation by the electric field effect at the LaAlO_3 / SrTiO_3 interface
• Two-dimensional quantum oscillations of the conductance at LaAlO3/SrTiO3 interfaces
• Superconductivity and Ferromagnetism in Oxide Interface Structures: Possibility of Finite Momentum Pairing
• Common Fermi-liquid origin of T-squared resistivity and superconductivity in n-type SrTiO3
• Shubnikov-de Haas oscillations in SrTiO3\LaAlO3 interface
• Towards two-dimensional metallic behavior at LaAlO3/SrTiO3 interfaces
• Polarity-induced oxygen vacancies at LaAlO3|SrTiO3 interfaces
• Rashba induced magnetoconductance oscillations in the LaAlO3-SrTiO3 heterostructure
• Intrinsic instability of electronic interfaces with strong Rashba coupling
• Magnetic and Superconducting Ordering at LaAlO3/SrTiO3 Interfaces
• d0 Perovskite-Semiconductor Electronic Structure
• Magnetotransport effects in polar versus non-polar SrTiO3 based heterostructures
• Spin-Orbit Coupling in LaAlO${}_3$/SrTiO${}_3$ interfaces: Magnetism and Orbital Ordering
• Microscopic understanding of the orbital splitting and its tuning at oxide interfaces

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