QUATRAIN: Quantum Transport in Nanostructures

Project funded by French National Research Agency (ANR), grant ANR-07-BLAN-0236. Participating organisations named by the source: UNIVERSITE DE RENNES I; UNIVERSITE TOULOUSE III [PAUL SABATIER]. Funded amount: EUR 210,000, as stated by the source. Runs 2007-11-15 to n/a. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2019-12-24); national funding data, not CORDIS. Abstract given by the source: In order to comply with the growing needs of ultra fast, low consumption and high functionality operation, it is no secret information that microelectronics industry produces highly miniaturized devices with very small characteristic length scales. In such devices, quantum effects such as interferences or tunneling effect become important and more and more predominant. Consequently, since the standard numerical tools used in the industry are based on classical physics, a wide field of research is open in order to design suitable quantum transport models and corresponding efficient numerical methods. Numerical simulations based on the Schrödinger equation in the context of nanoelectronics have to face difficulties due to the specific properties of this equation: oscillatory behavior of the solutions, presence of resonances, many particles effects and scattering phenomena. The contribution of mathematics is then required at several levels. This project proposes to explore several directions of research linked to the mathematical and numerical issues raised by applications from emerging fields of nanoelectronics and physics at the nanometer scale. Some target-applications have been identified and feed the mathematical issues raised in this project: double-gate mosfets, nanowires, carbon nanotubes and bio-inspired nanostructures, spintronics, and also the Bose-Einstein condensates. The objective of our project is to combine theorical and numerical studies in order to obtain accurate enough, numerically tractable and rigorously justified models, then to develop sound numerical methods to discretize the obtained models and apply them to the simulation of realistic devices. To will be done, by looking at reduced dimensionality models for strongly confined electron ensembles, by including and justifying an asymptotic description of resonances which reduces even more the dimensionality of the problem, by pursuing the effort in deriving hybrid models coupling quantum and [shortened; the full text is on the OpenAIRE page]

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of French National Research Agency (ANR). Retrieved 2026-10-22. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The QUATRAIN project, funded by the French National Research Agency with a grant of EUR 210,000, focuses on quantum transport in nanostructures. It involves Université de Rennes I and Université Toulouse III and runs from November 15, 2007, to an unspecified end date. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.