Accumulation, inversion, and depletion layers in SrTiO${}_3$

Abstract

We study potential and electron density depth profiles in accumulation, inversion and depletion layers in crystals with large and nonlinear dielectric response such as $\mathrm{SrTi}{\mathrm{O}}_3$. We describe the lattice dielectric response using the Landau-Ginzburg free energy expansion. In accumulation and inversion layers we arrive at new nonlinear dependencies of the width $d$ of the electron gas on applied electric field $D_0$. Particularly important is the predicted electron density profile of accumulation layers (including the $\mathrm{LaAl}{\mathrm{O}}_3/SrTi{\mathrm{O}}_3$ interface) $n(x)\propto (x+d{)}^{-12/7}$, where $d\propto D_0^{-7/5}$ . We compare this profile with available data and find satifactory agreement. For a depletion layer we find an unconventional nonlinear dependence of capacitance on voltage. We also evaluate the role of spatial dispersion in the dielectric response by adding a gradient term to the Landau-Ginzburg free energy.

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Cited by in corpus (21)

• Physics of SrTiO${}_3$-based heterostructures and nanostructures: a review
• Quantization of Hall Resistance at the Metallic Interface between an Oxide Insulator and SrTiO${}_3$
• Novel metal-insulator-transition at the SrTiO3/SmTiO3 interface
• Charge transfer and electron-phonon coupling in monolayer FeSe on Nb doped SrTiO${}_3$
• Universality of Electron Mobility in LaAlO${}_3$/SrTiO${}_3$ and bulk SrTiO${}_3$
• Surface roughness scattering in multisubband accumulation layers
• Influence of the ferroelectric quantum critical point on SrTiO${}_3$ interfaces
• Tunable spin and orbital polarization in SrTiO3-based heterostructures
• Temperature-Dependent Band Structure of SrTiO${}_3$ Interfaces
• Two-dimensional electron gas at the LaAlO${}_3$/SrTiO${}_3$ inteface with a potential barrier
• Collapse of electrons to a donor cluster in SrTiO${}_3$
• Anomalous conductivity, Hall factor, magnetoresistance, and thermopower of accumulation layer in ${\text{SrTiO}}_3$
• Electron gas induced in SrTiO${}_3$
• Effect of confinement and Coulomb interactions on the electronic structure of (111) LaAlO${}_3$/SrTiO${}_3$ interface
• Direct evidence of a charge depletion region at the interface of Van der Waals monolayers and dielectric oxides: The case of superconducting FeSe/STO
• Commensuration Effects in Layered Nanoparticle Solids
• Roughness scattering induced insulator-metal-insulator transition in a quantum wire
• Anomalous Thermodynamic Properties of Electron Accumulation Layer in SrTiO${}_3$
• Electronic spin susceptibility in metallic strontium titanate
• Sign-changing non-monotonic voltage gain of HfO2/Parylene-C/SrTiO3 field-effect transistor due to percolative insulator to two-dimensional metal transition
• Electron Accumulation Layer in Ultrastrong Magnetic Field