Quantum magnetism. Exotic orders and Spin Liquids.
Triangular and kagome lattices. Ring exchange interaction.
Quantum Fluids and Solids. Ultra-cold quantum gases.
Quantum information
Co-author with G. Misguich of three reviews:
« Frustrated Quantum Magnetism», in « High magnetic fields », p. 161-190,
Springer Lecture Notes in Physics (2001).
Eds: C. Berthier, L. P. Levy, G. Martinez. ISBN 3-540-43979-X.
« Two-dimensional Quantum Antiferromagnets», in « Frustrated Spin Systems » ,
p. 229-306, World Scientific Publishing (2004). Ed: H. T. Diep. ISBN 981-256-091-2.
"Introduction to Quantum Spin Liquids": Lhuillier Claire, Misguich Grégoire
in "Introduction to frustrated magnetism: materials, experiments, theory" ,
(Lacroix C., Mendels P., Mila F. eds) Springer Series, 164, 23-41, 2011
Most of my recent papers are on the cond-mat archive.