Magnetic and nematic orders of the 2DEG at oxide (111) surfaces and interfaces

Abstract

Recent experiments have explored two-dimensional electron gases (2DEGs) at oxide (111) surfaces and interfaces, finding evidence for hexagonal symmetry breaking in SrTiO${}_3$ at low temperature. We discuss many-body instabilities of such (111) 2DEGs, incorporating multiorbital interactions in the $t_{2g}$ manifold which can induce diverse magnetic and orbital orders. Such broken symmetries may partly account for the observed nematicity, cooperating or competing with phonon mechanisms. We present an effective field theory for the interplay of magnetism and nematic charge order, and discuss implications of the nematicity for transport and superconductivity in (111) 2DEGs.

12 pages including supplementary, 4 figures

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• Symmetry and correlation effects on band structure explain the anomalous transport properties of (111) LaAlO${}_3$/SrTiO${}_3$
• Tunable spin and orbital Edelstein effect at (111) LaAlO${}_3$/SrTiO${}_3$ interface
• Orientational order parameters for arbitrary quantum systems
• A Striped Electron Fluid on (111) KTaO${}_3$
• Superconductivity and Frozen Electronic States at the (111) LaAlO${}_3$/SrTiO${}_3$ Interface
• Strain-induced topological phase transition at (111) SrTiO${}_3$-based heterostructures
• Anisotropic Magnetoresistance in Multiband Systems: 2DEGs and Polar Metals at Oxide Interfaces
• Evolution of domain structure with electron doping in ferroelectric thin films
• Modified transverse Ising model for the dielectric properties of SrTiO${}_3$ films and interfaces
• Orbital selective order and ${\mathbb{Z}}_3$ Potts nematicity from a non-Fermi liquid