# Theoretical Physics

**6 February 2015**

**Time:**10:00 to 00:44

**Location:**Theoretical Physics Corridor

Ville Lahtinen (Freie Universitat Berlin)

so(N)_1 criticality in generalized cluster models

We show that generalized 1D cluster models -- local, translationally invariant and exactly solvable spin-1/2 models exhibiting symmetry protected topological order -- exhibit exotic so(N)_1 critical points when perturbed with Ising or Zeeman terms. Employing spin dualities, we show that all cluster models are equivalent to non-locally coupled system of transverse field Ising chains. We show how this duality fits into a general framework of condensate-induced transitions between topologically ordered phases and discuss how the framework can be employed to derive further new spin models with on-demand exotic critical points.

<- Back to: External Seminars

© Copyright Leeds 2011