Topological lattice actions for the 2d XY model

Bietenholz, W.; Bögli, Michael; Niedermayer, Ferenc; Pepe, M.; Rejón-Barrera, F. G.; Wiese, Uwe-Jens (2013). Topological lattice actions for the 2d XY model. Journal of High Energy Physics, 2013(3) Springer 10.1007/JHEP03(2013)141

Preview

Text art%3A10.1007%2FJHEP03%282013%29141.pdf - Published Version Available under License Creative Commons: Attribution (CC-BY). Download (570kB) | Preview

We consider the 2d XY Model with topological lattice actions, which are invariant against small deformations of the field configuration. These actions constrain the angle between neighbouring spins by an upper bound, or they explicitly suppress vortices (and anti-vortices). Although topological actions do not have a classical limit, they still lead to the universal behaviour of the Berezinskii-Kosterlitz-Thouless (BKT) phase transition — at least up to moderate vortex suppression. In the massive phase, the analytically known Step Scaling Function (SSF) is reproduced in numerical simulations. However, deviations from the expected universal behaviour of the lattice artifacts are observed. In the massless phase, the BKT value of the critical exponent ηc is confirmed. Hence, even though for some topological actions vortices cost zero energy, they still drive the standard BKT transition. In addition we identify a vortex-free transition point, which deviates from the BKT behaviour.

Interest & Impact

Downloads

241 since deposited on 05 Jun 2014
15 in the past 12 months

Citations

5 Citations in Web of Science ®
6 Citations in Scopus

Search

in Google Scholar™

Services

Actions (login required)

Edit item

Actions (login required)

Edit item