Speaker
Evan Berkowitz
(Forschungszentrum Jülich)
Description
The BKT transition in low-dimensional systems with a U(1) global symmetry separates a trivially gapped, disordered phase, and is driven by vortex proliferation. Recent developments in modified Villain actions provide a class of lattice models which have an extra $\mathbb{Z}_W$ global symmetry that counts vortices mod W, mixed 't Hooft anomalies, and persistent order even at finite lattice spacing. While there is no fully-disordered phase (except in the original BKT case) there is still a phase boundary which separates gapped ordered phases from gapless phases. I'll describe a numerical Monte Carlo exploration of these phenomena.
Primary author
Evan Berkowitz
(Forschungszentrum Jülich)
Co-authors
Aleksey Cherman
(University of Minnesota)
Srimoyee Sen
(Iowa State University)
