3 years ago

Theory of laterally confined two-dimensional excitons.

Tomohiro Ogura, Shota Ono

We theoretically investigate the energy of the ground state exciton confined to two-dimensional (2D) monolayers with circular shape. Within an effective mass approach employing a nonlocal screening effect on the Coulomb potential energy, we demonstrate how the exciton energy is correlated with the radius of the circle, electron-hole reduced mass, and 2D susceptibility. In addition, we claim that an assumption of small reduced mass less than $0.06m_0$, where $m_0$ is the free electron mass, is necessary for explaining the energy shift recently observed in monolayer WSe$_2$ quantum dots. The resulting exciton binding energy of 0.1 eV is close to the value estimated by converged ab initio calculations reported in monolayer MoS$_2$, while it is relatively smaller than the values reported in most literature.

Publisher URL: http://arxiv.org/abs/1801.06923

DOI: arXiv:1801.06923v1

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