Understanding excitons using the spherical geometry

Details Understanding excitons using the spherical geometry Understanding excitons using the spherical geometry

2011-12-22

arxiv.org/abs/1112.5313v2

Physics

Chemical Physics

5 pages, 4 figures and 2 tables

Scientific paper

Using the spherical geometry, we introduce a novel model to study excitons confined in a three-dimensional space, which offers unparalleled mathematical simplicity while retaining much of the key physics. This new model consists of an exciton trapped on the 3-sphere (i.e. the surface of a four-dimensional ball), and provides a unified treatment of Frenkel and Wannier-Mott excitons. Moreover, we show that one can determine, for particular values of the dielectric constant $\epsilon$, the closed-form expression of the exact wave function. We use the exact wave function of the lowest bound state for $\epsilon=2$ to introduce an intermediate regime which gives satisfactory agreement with exact diagonalization results for a wide range of $\epsilon$ values.

Affiliated with

Also associated with

No associations

Rating

Understanding excitons using the spherical geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Understanding excitons using the spherical geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Understanding excitons using the spherical geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-307375