2016
DOI: 10.1063/1.4972028
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Charged grain boundaries reduce the open-circuit voltage of polycrystalline solar cells—An analytical description

Abstract: Analytic expressions are presented for the dark current-voltage relation J(V ) of a pn+ junction with positively charged columnar grain boundaries with high defect density. These expressions apply to non-depleted grains with sufficiently high bulk hole mobilities. The accuracy of the formulas is verified by direct comparison to numerical simulations. Numerical simulations further show that the dark J(V ) can be used to determine the open-circuit potential Voc of an illuminated junction for a given short-circui… Show more

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Cited by 23 publications
(44 citation statements)
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“…This latter case was studied in detail in Ref. 12. This mapping from a continuum of donor+acceptor states to a single donor+acceptor state is valid for values of α such that the densities of donor and acceptor states remain commensurate [25].…”
Section: Physical Model Of the Grain Boundarymentioning
confidence: 99%
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“…This latter case was studied in detail in Ref. 12. This mapping from a continuum of donor+acceptor states to a single donor+acceptor state is valid for values of α such that the densities of donor and acceptor states remain commensurate [25].…”
Section: Physical Model Of the Grain Boundarymentioning
confidence: 99%
“…A direct analytical solution for the full two-dimensional problem is not feasible. To make analytical progress, we split the two-dimensional system into two onedimensional sub-systems: the grain boundary core where electrons are electrostatically confined [5,12,27], and the grain interior (grain boundary free pn junction) where a solution is known. Our approach relies on approximations (or assumptions) which connect these two problems, and render the continuity-Poisson equations along the grain boundary core analytically tractable.…”
Section: B Assumptions In the Nonequilibrium Analysismentioning
confidence: 99%
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