Around the Laughlin wave-function and its' excitations

par Nicolas Rougerie (ENS Lyon)

vendredi 28 févr. 2025, 14:00 → 15:00 Europe/Paris

112 (Bat. Braconnier)

The Laughlin state/wave-function is a well-educated guess for the ground state of 2D particles subjected to large magnetic fields and strong interactions. A lot of our theoretical understanding of the fractional quantum Hall effect ultimately rests on it, and on the properties of its' proposed excitations.

We will discuss what the above might mean, mathematically speaking, showing that, at least in some slightly idealized situations, the Laughlin state is much more than just a guess. Time allowing we could discuss some properties of anyonic matter, since this relates on (quantizations of) elementary excitations of the Laughlin state.