Spin responses and effective Hamiltonian for the two dimensional electron gas at oxide interface {LaAlO}${}_3$/{SrTiO}${}_3$

Abstract

Strong Rashba spin-orbit coupling (SOC) of the two-dimensional electron gas (2DEG) at the oxide interface $\mathrm{LaAl}{\mathrm{O}}_3/SrTi{\mathrm{O}}_3$ underlies a variety of exotic physics, but its nature is still under debate. We derive an effective Hamiltonian for the 2DEG at the oxide interface $\mathrm{LaAl}{\mathrm{O}}_3/SrTi{\mathrm{O}}_3$ and find a different anisotropic Rashba SOC for the $d_{xz}$ and $d_{yz}$ orbitals. This anisotropic Rashba SOC leads to anisotropic static spin susceptibilities and also distinctive behavior of the spin Hall conductivity. These unique spin responses may be used to determine the nature of the Rashba SOC experimentally and shed light on the orbital origin of the 2DEG.

10 pages, 2 figures, final published version

References in corpus (9)

• Dissipationless Quantum Spin Current at Room Temperature
• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• High Mobility in LaAlO3/SrTiO3 Heterostructures: Origin, Dimensionality and Perspectives
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Topological superconductivity and unconventional pairing in oxide interfaces
• Lattice polarization effects on electron-gas charge densities in ionic superlattices
• Spin-Orbit Coupling in LaAlO${}_3$/SrTiO${}_3$ interfaces: Magnetism and Orbital Ordering

Cited by in corpus (4)

• RKKY interaction in three-dimensional electron gases with linear spin-orbit coupling
• Theory of the spin galvanic effect at oxide interfaces
• Interlayer RKKY Coupling in Bulk Rashba Semiconductors under Topological Phase Transition
• Tunable spin and orbital polarization in SrTiO3-based heterostructures