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

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Institute of Theoretical Physics
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)

UniBE Contributor:

Bögli, Michael; Niedermayer, Ferenc and Wiese, Uwe-Jens

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

05 Jun 2014 16:31

Last Modified:

17 Sep 2015 11:17

Publisher DOI:

10.1007/JHEP03(2013)141

BORIS DOI:

10.7892/boris.42230

URI:

https://boris.unibe.ch/id/eprint/42230

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