Affiliation:
1. Grenoble Alpes University
Abstract
The self-consistent quantum-electrostatic (also known as
Poisson-Schrödinger) problem is notoriously difficult in situations
where the density of states varies rapidly with energy. At low
temperatures, these fluctuations make the problem highly non-linear
which renders iterative schemes deeply unstable. We present a stable
algorithm that provides a solution to this problem with controlled
accuracy. The technique is intrinsically convergent even in highly
non-linear regimes. We illustrate our approach with both a calculation
of the compressible and incompressible stripes in the integer quantum
Hall regime as well as a calculation of the differential conductance of
a quantum point contact geometry. Our technique provides a viable route
for the predictive modeling of the transport properties of quantum
nanoelectronics devices.
Funder
Agence Nationale de la Recherche
National Science Foundation
Office of Naval Research
Subject
General Physics and Astronomy
Cited by
15 articles.
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