A theoretical model of ferroelectric heterostructures

Abstract

Novel types of superconductivity is a very active area of research. Heterostructures are a promising and recent avenue for finding these. This thesis explores a theoretical model of a ferroelectric heterostructure to investigate whether dipole-mediated electron interactions can induce superconductivity. Two models were analyzed: a static case where the dipole aligns instantaneously with the net electric field and a dynamic case where the dipole has inertia and oscillates. The static model showed that under small lattice constants, dipole mediated interactions can overcome Coulomb repulsion between electrons, though such conditions are challenging to achieve. The dynamic model, analyzed using Floquet theory, revealed resonance effects that amplify electron motion. While definitive superconductivity was not established, experimental validation through pressure-tuned lattice constants and resonance conditions could validate the model’s predictions. Future research could extend this framework to quantum mechanical dipoles and more complex materials, enhancing the understanding of superconductivity in engineered heterostructures.