Details

Autor(en) / Beteiligte

• Rougerie, Nicolas
• Yngvason, Jakob

Titel

The Laughlin liquid in an external potential

Ist Teil von

• Letters in mathematical physics, 2018-04, Vol.108 (4), p.1007-1029

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2018

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We study natural perturbations of the Laughlin state arising from the effects of trapping and disorder. These are N -particle wave functions that have the form of a product of Laughlin states and analytic functions of the N variables. We derive an upper bound to the ground state energy in a confining external potential, matching exactly a recently derived lower bound in the large N limit. Irrespective of the shape of the confining potential, this sharp upper bound can be achieved through a modification of the Laughlin function by suitably arranged quasi-holes.