141 citations · 1.1k across the 32 of their papers we have counts for
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Localization of eigenfunctions via an effective potential
Douglas N. Arnold, Guy David, Marcel Filoche +2
We consider the localization of eigenfunctions for the operator $L=-\mbox{div} A \nabla + V$ on a Lipschitz domain and, more generally, on manifolds with and without boundary.…
Computing spectra without solving eigenvalue problems
Douglas Arnold, Guy David, Marcel Filoche +2
The approximation of the eigenvalues and eigenfunctions of an elliptic operator is a key computational task in many areas of applied mathematics and computational physics. An impor…
Localization landscape theory of disorder in semiconductors. III. Application to carrier transport and recombination in light emitting diodes
Chi-Kang Li, Marco Piccardo, Li-Shuo Lu +7
This paper introduces a novel method to account for quantum disorder effects into the classical drift-diffusion model of semiconductor transport through the localization landscape…
Localization landscape theory of disorder in semiconductors II: Urbach tails of disordered quantum well layers
Marco Piccardo, Chi-Kang Li, Yuh-Renn Wu +7
Urbach tails in semiconductors are often associated to effects of compositional disorder. The Urbach tail observed in InGaN alloy quantum wells of solar cells and LEDs by biased ph…
Localization landscape theory of disorder in semiconductors I: Theory and modeling
Marcel Filoche, Marco Piccardo, Yuh-Renn Wu +3
We present here a model of carrier distribution and transport in semiconductor alloys accounting for quantum localization effects in disordered materials. This model is based on th…