Tensor network renormalization approach to antiferromagnetic 6-state clock model on the Union Jack lattice
arXiv:2403.17309 · doi:10.1103/PhysRevB.111.134427
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, 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.
arXiv comment12 pages, 8 figures
References in corpus (24)
- Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
- Tensor Network Renormalization
- Renormalization of tensor-network states
- Loop optimization for tensor network renormalization
- Two phase transitions in the fully frustrated model
- Unsupervised Learning of Frustrated Classical Spin Models I: Principle Component Analysis
- Renormalization of tensor networks using graph independent local truncations
- Critical Exponents of the Fully Frustrated 2-D Xy Model
- Critical properties of the two-dimensional -state clock model
- Renormalization group flows of Hamiltonians using tensor networks
- Phase transition of the q-state clock model: duality and tensor renormalization
- Tensor network simulation for the frustrated - Ising model on the square lattice
- Berezinskii-Kosterlitz-Thouless transitions in the six-state clock model
- Finite-size and finite bond dimension effects of tensor network renormalization
- Tensor network approach to the two-dimensional fully frustrated XY model and a chiral ordered phase
- Solving frustrated Ising models using tensor networks
- Accurate simulation of q-state clock model
- Critical behavior of the frustrated antiferromagnetic six-state clock model on a triangular lattice
- Study of the Fully Frustrated Clock Model using the Wang-Landau Algorithm
- Nuclear norm regularized loop optimization for tensor network
- Operator fusion from wavefunction overlaps: Universal finite-size corrections and application to Haagerup model
- Unified tensor network theory for frustrated classical spin models in two dimensions
- Multi-boundary generalization of thermofield double states and their realization in critical quantum spin chains
- Novel phase transitions in XY Antiferromagnets on Plane Triangulations