Wannier Excitons Confined in Hexagonal Boron Nitride Triangular Quantum Dots

TL;DR

This paper investigates the properties of Wannier excitons confined within triangular quantum dots of hexagonal Boron Nitride, analyzing their quantum states and how dot size influences excitonic behavior.

Contribution

It introduces a basis function approach for excitons in triangular quantum dots and examines the effects of quantum dot dimensions on excitonic states.

Findings

Analysis of degeneracy and symmetries of basis functions

Influence of quantum dot size on excitonic energy levels

Characterization of excitonic states in hexagonal Boron Nitride dots

Abstract

With the ever-growing interest in quantum computing, understanding the behaviour of excitons in monolayer quantum dots has become a topic of great relevance. In this paper, we consider a Wannier exciton confined in a triangular quantum dot of hexagonal Boron Nitride. We begin by outlining the adequate basis functions to describe a particle in a triangular enclosure, analyzing their degeneracy and symmetries. Afterwards, we discuss the excitonic hamiltonian inside the quantum dot and study the influence of the quantum dot dimensions on the excitonic states.