• Corpus ID: 248572219

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

  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},
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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