Department or Program

Physics and Astronomy

Abstract

In systems with non-trivial topologies that violate time-reversal symmetry, the bulk-boundary correspondence gives rise to the propagation of waves without counter-propagation (back scattering). In this thesis, we investigate three types of systems that ultimately aim to provide insight as to what the minimal number of bands required to support topologically protected edge modes. We begin by exploring a 3 band fluid system that has non-trivial topological phase: rotating shallow water. We then examine the 4 band system comprised of a honeycomb lattice of spring-masses on a rotating platform. Ultimately, we wish to provide an entry point to a classical 2 band system with non-trivial topological phase. These examples will ideally provide vital insight in proving that a 2 band classical system cannot support unidirectional waves and show that 3 bands is the minimal requirement.

Level of Access

Open Access

First Advisor

Oishi, Jeffrey

Date of Graduation

5-2021

Degree Name

Bachelor of Arts

Number of Pages

25

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