Realization of Wess-Zumino-Witten transitions with levels $k=6$ and $k=4$ in a frustrated spin-3 chain

Abstract

We study dimerization transitions in a frustrated spin-3 chain with next-nearest neighbor and three-site interactions. We show that two independent coupling constants of the model are sufficient to fine-tune the system to the critical point in the Wess-Zumino-Witten SU(2)${}_6$ universality class. This critical point appears as the end point of an extended SU(2)${}_4$ critical line. This implies that the renormalization group flow lead to the critical theory with the largest level $k$ such that the number of relevant operators is reduced by one and the parity of the level is preserved. Furthermore, we argue that due to the presence of marginal operator there is only one point in the SU(2)${}_6$ universality class. In addition, we report the appearance of non-magnetic Ising transition between the topologically trivial uniform and dimerized phases. This transition takes place within the singlet sector, while magnetic gap remains open.

arXiv comment7 pages, 8 figures

References in corpus (21)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Spin nematics in the bilinear-biquadratic S=1 spin chain
• Symmetry protection of critical phases and global anomaly in $1+1$ dimensions
• Variational and DMRG studies of the Frustrated Antiferromagnetic Heisenberg S=1 Quantum Spin Chain
• Antiferromagnetic spin-S chains with exactly dimerized ground states
• Dimerization transitions in spin-1 chains
• Quantum phase transitions in multileg spin ladders with ring exchange
• Connectivity transition in the frustrated S=1 chain revisited
• Frustrated antiferromagnetic quantum spin chains for spin length S > 1
• Realization of higher Wess-Zumino-Witten models in spin chains
• Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain
• Exact Results of Dimerization Order Parameter in $SU(n)$ Antiferromagnetic Chains
• Dimerizations in spin-$S$ antiferromagnetic chains with three-spin interaction
• Spinon confinement and deconfinement in spin-1 chains
• Floating, critical and dimerized phases in a frustrated spin-3/2 chain
• From SU(2)${}_5$ to SU(2)${}_3$ Wess-Zumino-Witten transitions in a frustrated spin-5/2 chain
• Sequential quantum phase transitions in $J_1$-$J_2$ Heisenberg chains with integer spins ($S>1$): Quantized Berry phase and valence-bond solids
• Dimerization and effective decoupling in two spin-1 generalizations of the spin-1/2 Majumdar-Ghosh chain

Cited by in corpus (3)

• Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Extended Ashkin-Teller transition in two coupled frustrated Haldane chains