Band inversion driven by electronic correlations at the (111) LaAlO${}_3$/SrTiO${}_3$ interface

Abstract

Quantum confinement at complex oxide interfaces establishes an intricate hierarchy of the strongly correlated $d$-orbitals which is widely recognized as a source of emergent physics. The most prominent example is the (001) LaAlO${}_3$/SrTiO${}_3$(LAO/STO) interface, which features a dome-shaped phase diagram of superconducting critical temperature and spin-orbit coupling (SOC) as a function of electrostatic doping, arising from a selective occupancy of $t_{2g}$ orbitals of different character. Here we study (111)-oriented LAO/STO interfaces - where the three $t_{2g}$ orbitals contribute equally to the sub-band states caused by confinement - and investigate the impact of this unique feature on electronic transport. We show that transport occurs through two sets of electron-like sub-bands, and the carrier density of one of the sets shows a non-monotonic dependence on the sample conductance. Using tight-binding modeling, we demonstrate that this behavior stems from a band inversion driven by on-site Coulomb interactions. The balanced contribution of all $t_{2g}$ orbitals to electronic transport is shown to result in strong SOC with reduced electrostatic modulation.

arXiv comment5 pages, 4 figures, (+ supplemental material)

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Cited by in corpus (13)

• Designing spin and orbital sources of Berry curvature at oxide interfaces
• The quantum metric of electrons with spin-momentum locking
• Symmetry and correlation effects on band structure explain the anomalous transport properties of (111) LaAlO${}_3$/SrTiO${}_3$
• Orbital design of Berry curvature: pinch points and giant dipoles induced by crystal fields
• Tunable spin and orbital Edelstein effect at (111) LaAlO${}_3$/SrTiO${}_3$ interface
• Gate tunable anomalous Hall effect: a Berry curvature probe at oxides interfaces
• Superconducting dome in the LaAlO${}_3$/SrTiO${}_3$ interfaces as a direct effect of the extended s-wave symmetry of the gap
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• High orbital-moment Cooper pairs by crystalline symmetry breaking
• Strain-induced topological phase transition at (111) SrTiO${}_3$-based heterostructures
• Anisotropic Magnetoresistance in Multiband Systems: 2DEGs and Polar Metals at Oxide Interfaces
• Electric dipole spin resonance in single and two electron quantum dot defined in two-dimensional electron gas at the SrTiO${}_3$/LaAlO${}_3$ interface
• Effect of confinement and Coulomb interactions on the electronic structure of (111) LaAlO${}_3$/SrTiO${}_3$ interface