Tensor network renormalization approach to antiferromagnetic 6-state clock model on the Union Jack lattice
arxiv(2024)
摘要
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.
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