Location
MC 5479
Candidate
Matt Hansen | Applied Mathematics, University of Waterloo
Title
Exploring the consequences of introducing out-of-plane polarization response to models of two-dimensional materials
Abstract
Two-dimensional (2D) materials are generally modelled as having purely in-plane response, motivated by the assumption that the out-of-plane (OOP) polarization is negligible. However, recent experiments have shown that the OOP response is, in fact, measurable in the principal example of 2D materials, graphene. As such, we explore the inclusion of OOP response to models of 2D materials. We consider a wide array of problems in this domain, including the influence of OOP response on plasmon dispersion relations and force calculations, the symmetry-dependent coupling between in-plane and OOP response due to surrounding dielectrics, direct calculations of the OOP response function without relying on density functional theory or a super-cell configuration, and an explicit derivation of the constitutive relation for polarization for a singular sheet density in terms of macroscopic field quantities.