Tomographic transform on a sphere and topological insulators

TL;DR

This paper demonstrates how to implement the tomographic transform on a sphere and applies it to analyze surface excitations in spherical topological insulators with a Dirac cone.

Contribution

It introduces a method to perform the tomographic transform on spherical geometries and applies it to topological insulators, linking mathematical transform techniques with condensed matter physics.

Findings

Successful implementation of the tomographic transform on a sphere

Application to surface excitations of spherical topological insulators

Insights into the surface state behavior of topological insulators

Abstract

The tomographic transform was first introduced in the field theory literature long ago. It is closely related to Radon transform. In this paper we show how the tomographic transform can be implemented on a sphere and apply this result to study surface excitations of a spherical topological insulator with a single Dirac cone on the surface.