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.

References in corpus (8)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Magnetic effects at the interface between nonmagnetic oxides
• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• Giant Oscillating Thermopower at Oxide Interfaces
• Quantum Critical Paraelectrics and the Casimir Effect in Time
• Accumulation, inversion, and depletion layers in SrTiO${}_3$
• Temperature-Dependent Band Structure of SrTiO${}_3$ Interfaces

Cited by in corpus (3)

• Temperature-Dependent Band Structure of 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