Influence of the ferroelectric quantum critical point on SrTiO${}_3$ interfaces

Abstract

We study a model SrTiO${}_3$ interface in which conduction $t_{2g}$ electrons couple to the ferroelectric (FE) phonon mode. We treat the FE mode within a self-consistent phonon theory that captures its quantum critical behavior, and show that proximity to the quantum critical point leads to universal tails in the electron density of the form $n(z)\sim (\lambda +z{)}^{-2}$, where $\lambda \sim T^{2-d/\mathfrak{z}}$, with $d=3$ the dimensionality and $\mathfrak{z}=1$ the dynamical critical exponent. Implications for the metal-insulator transition at low electron density are discussed.

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Cited by in corpus (11)

• Dynamic multiferroicity of a ferroelectric quantum critical point
• Quantum Critical Phenomena in a Compressible Displacive Ferroelectric
• Magnetic and nematic orders of the 2DEG at oxide (111) surfaces and interfaces
• Pressure dependence of ferroelectric quantum critical fluctuations
• Temperature-Dependent Band Structure of SrTiO${}_3$ Interfaces
• Possible Flexoelectric Origin of the Lifshitz Transition in LaAlO${}_3$/SrTiO${}_3$ Interfaces
• Anisotropic Magnetoresistance in Multiband Systems: 2DEGs and Polar Metals at Oxide Interfaces
• Domes of $T_c$ in single-band and multiband superconductors with finite-range attractive interactions
• Evolution of domain structure with electron doping in ferroelectric thin films
• Mechanism for Switchability in Electron-Doped Ferroelectric Interfaces
• Modified transverse Ising model for the dielectric properties of SrTiO${}_3$ films and interfaces