SU(4) FQHE: SU(4) fractional quantum Hall effect

Project funded by French National Research Agency (ANR), grant ANR-07-JCJC-0003. Participating organisations named by the source: CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE - DELEGATION REGIONALE ILE-DE-FRANCE SECTEUR PARIS B. Funded amount: EUR 141,424, as stated by the source. Runs 2007-11-08 to n/a. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2026-07-23); national funding data, not CORDIS. Abstract given by the source: Quantum Hall physics - the study of two-dimensional (2D) electrons in a strong magnetic field - has provided a stream of exotic and unexpected phenomena over the last 25 years. Most saliently, the integral and fractional quantum Hall effects (IQHE and FQHE, Nobel Prizes in 1995 and 1998) have joined superconductivity and superfluidity as members of the exclusive club of macroscopic quantum phenomena. During the last year, multicomponent quantum Hall systems have attracted growing attention. These internal degrees of freedom can go beyond the usual SU(2) spin, leading to possible new quantum phases. We propose an in-depth study of the SU(4) fractional quantum Hall effect motivated by 2D electron gases both in bilayer systems with spin and in graphene. The collaboration of this project unites the major streams of theoretical physics, namely state-of-the-art numerical physics (Nicolas Regnault), analytical methods in condensed-matter (Mark Goerbig, Christophe Mora) and mathematical physics (Vincent Pasquier). The actors, who are located in three different laboratories of the Paris Region, have made significant contributions to the field of quantum Hall physics. The current collaboration between Nicolas Regnault and Mark Goerbig has already led to a (yet unpublished) preprint of preliminary results that is the 'backbone' of the present project on the SU(4) fractional quantum Hall physics. Our scientific project covers different topics related to the SU(4) fractional quantum Hall effect. A complete numerical topography of the quantum states will aim to discriminate which states should be relevant in the thermodynamical limit. Different types of ferromagnetism may arise in such systems. A complete classification of these ferromagnetic states and a description of topological skyrmion-like excitations is one of our goals. Apart from these ferromagnetic properties, we will investigate fractionally-charged quasiparticle excitations. First, we will generalise the point of [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 project "SU(4) FQHE" is funded by the French National Research Agency with a grant of EUR 141,424, running from 2007-11-08. It focuses on the study of the SU(4) fractional quantum Hall effect in two-dimensional electron systems. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.