Abstract
Biexcitons in fractional dimensional spaces are studied using variational quantum Monte Carlo. We investigate the biexciton binding energy as a function of the electron-hole mass fraction as well as study the dimensional dependence of biexcitons for and . As our first application of this model we treat the H molecule in two and three dimensions. Next we investigate biexcitons in carbon nanotubes within the fractional dimensional model. To this end we find a relation between the nanotube radius and the effective dimension. The results of both applications are compared with results obtained using different models and we find a reasonable agreement. Within the fractional dimensional model we find that the biexciton binding energy in carbon nanotubes accurately scales as , as a function of radius and the dielectric screening .
- Received 23 August 2011
DOI:https://doi.org/10.1103/PhysRevB.85.045412
©2012 American Physical Society