Laboratoire de Physique Théorique
Toulouse - UMR 5152

Topological states of matter are of of fundamental interest in contemporary condensed matter physics. The Fractional Quantum Hall effect is the main experimental system where this physics can be observed in a laboratory. The question remains whether also different systems might exhibit topological ordering. Candidate systems are certain frustrated quantum magnets. Chiral Spin Liquids are a lattice analogue of Fractional Quantum Hall Effect wave functions. These wave functions have been envisioned in 1987, but only very recently several simple local lattice models have been proposed realizing chiral spin liquid physics. In this talk I will introduce chiral spin liquids, discuss their relation to the Fractional Quantum Hall effect and present recent numerical studies that provide conclusive evidence for the emergence of this exotic state of matter in frustrated extended Heisenberg models.

Literature :

[1] A. Wietek, A. Sterdyniak, and A. M. Läuchli, Phys. Rev. B 92, 125122 (2015)

[2] P. Nataf, M. Lajko, A. Wietek, K. Penc, F. Mila, and A. M. Läuchli, Phys. Rev. Lett. 117 167202 (2016)

[3] A. Wietek and A. M. Läuchli, Phys. Rev. B 95, 035141 (2017)