# 2014 CAP Congress / Congrès de l'ACP 2014

15-20 June 2014
Laurentian University / Université Laurentienne
America/Toronto timezone
Welcome to the 2014 CAP Congress! / Bienvenue au congrès de l'ACP 2014!

## Two-dimensional conductivity at $\mathrm{LaAlO_3/SrTiO_3}$ interfaces

18 Jun 2014, 14:30
15m
C-204 (Laurentian University / Université Laurentienne)

### C-204

#### Laurentian University / Université Laurentienne

Sudbury, Ontario
Oral (Student, In Competition) / Orale (Étudiant(e), inscrit à la compétition) Condensed Matter and Materials Physics / Physique de la matière condensée et matériaux (DCMMP-DPMCM)

### Speaker

Mrs Amany Raslan (Department of Physics and Astronomy, Trent University, Peterborough Ontario, Canada, K9J 7B8)

### Description

Experiments have observed a two-dimensional electron gas at the interface of two insulating oxides: strontium titanate ($\mathrm{SrTiO_3}$) and lanthanum aluminate ($\mathrm{LaAlO_3}$). These interfaces exhibit metallic, superconducting, and magnetic behaviours, which are strongly affected by impurities. We introduce a simple model to study the two-dimensional conductivity at $\mathrm{LaAlO_{3}/SrTiO_{3}}$ interfaces. Motivated by experiments, we assume that impurities lie at the interface and their density is low. In our model, we treat the $\mathrm{LaAlO_3}$ as an insulator and model the $\mathrm{SrTiO_3}$ film. By solving a set of self-consistent Hartree equations for the charge density, we obtain the band structure of the $\mathrm{SrTiO_3}$ film. We then study the relative contributions made by the occupied bands to the two-dimensional conductivity of the $\mathrm{LaAlO_3/SrTiO_3}$ interface. We find that the fractional conductivity of each band depends on several parameters: the mass anisotropy, the filling, and the impurity potential.

### Primary author

Mrs Amany Raslan (Department of Physics and Astronomy, Trent University, Peterborough Ontario, Canada, K9J 7B8)

### Co-author

Prof. W. A. Atkinson (Department of Physics and Astronomy, Trent University, Peterborough Ontario, Canada, K9J 7B8)

 Slides