Current browse context:
cond-mat.stat-mech
Change to browse by:
References & Citations
Condensed Matter > Statistical Mechanics
Title: Tensor network renormalization approach to antiferromagnetic 6-state clock model on the Union Jack lattice
(Submitted on 26 Mar 2024)
Abstract: Using the nuclear norm regularization techniques on tensor network renormalization algorithm, we study the phase diagram, the critical behavior and the duality property of the antiferromagnetic 6-state clock model on the Union Jack lattice. We find that this model undergoes multiple phase transitions; there is the Berezinskii-Kosterlitz-Thouless, $Z_{6}$ symmetry breaking and chiral transition with decreasing temperature. Furthermore, we provide convincing numerical evidence that its quasi-long range order is well explained by the compactified boson conformal field theory (CFT) and the chiral transition is in perfect agreement with the Ising CFT, including central charge, scaling dimension spectrum, and operator product expansion coefficients.
Link back to: arXiv, form interface, contact.