Four-band Hamiltonian for fast calculations in intermediate-band solar cells -- from Wolfram Library Archive

Products

Consulting & Solutions

Learning & Support

Company

Wolfram|Alpha

Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how

Title

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

Authors

Antonio Luque

Aleksandr Panchak

Alexey Vlasov

Antonio Martí

Viacheslav Andreev

Journal / Anthology

Physica E: Low-dimensional Systems and Nanostructures

Year:

2016

Volume:

Page range:

127-134

Description

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.

Subject

Science > Physics

WOLFRAM