Extended Ashkin-Teller transition in two coupled frustrated Haldane chains

Abstract

We report an extremely rich ground state phase diagram of two spin-1 Haldane chains frustrated with a three-site exchange and coupled by the antiferromagnetic Heisenberg interaction on a zig-zag ladder. A particular feature of the phase diagram is the extended quantum phase transition in the Ashkin-Teller universality class that separates the plaquette phase, which spontaneously breaks translation symmetry, and the uniform disordered phase. The former is connected to the Haldane phase, stabilized by large inter-chain coupling, via the topological Gaussian transition. Upon decreasing the inter-chain interactions, this intermediate disorder phase vanishes, giving place to a dimerized phase separated from the plaquette phase on one side via a non-magnetic Ising transition and from the Haldane phase on the other side by a topological weak first-order transition. Finally, in the limit of two decoupled chains, we recover a quantum critical point that corresponds to two copies of the Wess-Zumino-Witten ${\mathrm{SU}(2)}_2$ criticality with a total central charge $c=3$.

14 pages, 16 figures (6 appendices)

References in corpus (29)

• Entanglement Entropy and Quantum Field Theory
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum of a topological phase in one dimension
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Spin nematics in the bilinear-biquadratic S=1 spin chain
• Floating phase versus chiral transition in a 1D hard-boson model
• Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains
• 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
• Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain
• Comment on "Frustration and Multicriticality in the Antiferromagnetic Spin-1 Chain"
• Dimerizations in spin-$S$ antiferromagnetic chains with three-spin interaction
• Spinon confinement and deconfinement in spin-1 chains
• Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
• Coupled spin-1/2 ladders as microscopic models for non-Abelian chiral spin liquids
• Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
• From SU(2)${}_5$ to SU(2)${}_3$ Wess-Zumino-Witten transitions in a frustrated spin-5/2 chain
• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Dimerization and effective decoupling in two spin-1 generalizations of the spin-1/2 Majumdar-Ghosh chain
• Dimerization in ultracold spinor gases with Zeeman splitting
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
• Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy
• Realization of Wess-Zumino-Witten transitions with levels $k=6$ and $k=4$ in a frustrated spin-3 chain
• ${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder