Séminaire de groupe
|Exact (ground) states and zero-modes of interacting Spin and Clock models|
|Equipe 106, Institut Jean Lamour|
|jeudi 12 octobre 2017 , 10h25|
|Salle de séminaire du groupe de Physique Statistique|
In this talk, I will first review the old results of Peschel en Emery, who devised a set of interacting spin-1/2 models, for which the degenerate ground states can be written in terms of product states. This model has more interesting properties, such as excited states that can be constructed explicitly, and one can find exact, local operators that swap the ground states. These results can be generalized to three state Clock models, and models with arbitrary spin. If time allows, I will comment on how to adapt the construction to arbitrary lattices.