Towards two-dimensional metallic behavior at LaAlO3/SrTiO3 interfaces
O. Copie, V. Garcia, C. Bodefeld, C. Carretero, M. Bibes, G. Herranz,, E. Jacquet, J.-L. Maurice, B. Vinter, S. Fusil, K. Bouzehouane, H. Jaffres, and A. Barthelemy

TL;DR
This study investigates the local transport properties of the electron gas at LaAlO3/SrTiO3 interfaces, revealing strong confinement and potential two-dimensional metallic behavior at low temperatures.
Contribution
The paper combines experimental measurements and simulations to demonstrate the confinement of carriers within ~10 nm and suggests the electron gas is near two-dimensionality.
Findings
Carriers are confined within ~10 nm at low temperature.
Simulations predict confinement over a few nm for high sheet carrier densities.
Fermi wavelength is ~16 nm, indicating proximity to two-dimensional behavior.
Abstract
Using a low-temperature conductive-tip atomic force microscope in cross-section geometry we have characterized the local transport properties of the metallic electron gas that forms at the interface between LaAlO3 and SrTiO3. At low temperature, we find that the carriers do not spread away from the interface but are confined within ~10 nm, just like at room temperature. Simulations taking into account both the large temperature and electric-field dependence of the permittivity of SrTiO3 predict a confinement over a few nm for sheet carrier densities larger than ~6 10^13 cm-2. We discuss the experimental and simulations results in terms of a multi-band carrier system. Remarkably, the Fermi wavelength estimated from Hall measurements is ~16 nm, indicating that the electron gas in on the verge of two-dimensionality.
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