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Four-band Hamiltonian for fast calculations in intermediate-band solar cells

Antonio Luque
Aleksandr Panchak
Alexey Vlasov
Antonio Martí
Viacheslav Andreev
Journal / Anthology

Physica E: Low-dimensional Systems and Nanostructures
Year: 2016
Volume: 76
Page range: 127-134

The 8-dimensional Luttinger–Kohn–Pikus–Bir Hamiltonian matrix may be made up of four 4-dimensional blocks. A 4-band Hamiltonian is presented, obtained from making the non-diagonal blocks zero. The parameters of the new Hamiltonian are adjusted to fit the calculated effective masses and strained QD bandgap with the measured ones. The 4-dimensional Hamiltonian thus obtained agrees well with measured quantum efficiency of a quantum dot intermediate band solar cell and the full absorption spectrum can be calculated in about two hours using Mathematica© and a notebook. This is a hundred times faster than with the commonly-used 8-band Hamiltonian and is considered suitable for helping design engineers in the development of nanostructured solar cells.

*Science > Physics