3,936 research outputs found
Device Engineering of Perovskite Solar Cells to Achieve Near Ideal Efficiency
Despite the exciting recent research on perovskite based solar cells, the
design space for further optimization and the practical limits of efficiency
are not well known in the community. In this manuscript, we address these
aspects through theoretical calculations and detailed numerical simulations.
Here, we first provide the detailed balance limit efficiency in the presence of
radiative and Auger recombination. Then, using coupled optical and carrier
transport simulations, we identify the physical mechanisms that contribute
towards bias dependent carrier collection, and hence low fill factors of
current perovskite based solar cells. Curiously, we find that while Auger
recombination is not a dominant factor at the detailed balance limit, it plays
a significant role in device level implementations. Surprisingly, our device
designs indicate that it is indeed possible to achieve efficiency and fill
factor greater than 25% and 85%, respectively - even in the presence of Auger
recombination
Screening-Limited Response of NanoBiosensors
Despite tremendous potential of highly sensitive electronic detection of
bio-molecules by nanoscale biosensors for genomics and proteomic applications,
many aspects of experimentally observed sensor response (S) are unexplained
within consistent theoretical frameworks of kinetic response or electrical
screening. In this paper, we combine analytic solutions of Poisson-Boltzmann
and reaction-diffusion equations to show that the electrical response of
nanobiosensor varies logarithmically with the concentration of target
molecules, time, the salt concentration, and inversely with the fractal
dimension of sensor surface. Our analysis provides a coherent theoretical
interpretation of wide variety of puzzling experimental data that have so far
defied intuitive explanation.Comment: 7 pages, 2 figure
On Gorenstein Surfaces Dominated by P^2
In this paper we prove that a normal Gorenstein surface dominated by the
projective plane P^2 is isomorphic to a quotient P^2/G, where G is a finite
group of automorphisms of P^2 (except possibly for one surface V_8'). We can
completely classify all such quotients. Some natural conjectures when the
surface is not Gorenstein are also stated.Comment: Nagoya Mathematical Journal, to appea
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