# Moving from continuous to discrete symmetry in the 2D XY model

@inproceedings{Butt2022MovingFC, title={Moving from continuous to discrete symmetry in the 2D XY model}, author={Nouman Butt and Xiao-Yong Jin and James C. Osborn and Zain Saleem}, year={2022} }

We study the eﬀects of discretization on the U(1) symmetric XY model in two dimensions using the Higher Order Tensor Renormalization Group (HOTRG) approach. Regarding the Z N symmetric clock models as speciﬁc discretizations of the XY model, we compare those discretizations to ones from truncations of the tensor network formulation of the XY model based on a character expansion, and focus on the diﬀerences in their phase structure at low temperatures. We also divide the tensor network…

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