Why the binding energy of excitons in semiconductors depends on it's dimensionality?

01 January 2016 1 7K Report

The exciton binding energy of Wannier-Mott excitons in an ideal 2-dimensional semiconductor should be four times it's value for excitons in the bulk or 3-dimensional form.

Is there a physically intuitive way to understand why this should be the case?

Igor Goliney

Look here:

https://www.researchgate.net/publication/13384275_Analytic_solution_of_a_two-dimensional_hydrogen_atom_I_Nonrelativistic_theory

Article Analytic solution of a two-dimensional hydrogen atom. I. Non...

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