Connectivity transition in the frustrated S=1 chain revisited

Abstract

The phase transition in the antiferromagnetic isotropic Heisenberg S=1 chain with frustrating next-nearest neighbor coupling alpha is reconsidered. We identify the order parameter of the large-alpha phase as describing two intertwined strings, each possessing a usual string order. The transition has a topological nature determined by the change in the string connectivity. Numerical evidence from the DMRG results is supported by the effective theory based on soliton states.

4 pages, 2 figures, Revtex 4, submitted to PRB

References in corpus (1)

• Plaquette-singlet solid state and topological hidden order in spin-1 antiferromagnetic Heisenberg ladder

Cited by in corpus (29)

• The density-matrix renormalization group
• One-Dimensional Magnetism
• Valence bond solids for SU(n) spin chains: exact models, spinon confinement, and the Haldane gap
• Kaleidoscope of quantum phases in a long-range interacting spin-1 chain
• Field-induced chiral phase in isotropic frustrated spin chains
• Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians
• Vector chiral order in frustrated spin chains
• Fragility of String Orders
• Topological quantum phase transition in bond-alternating spin-1/2 Heisenberg chains
• Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
• Non-local correlations in the Haldane phase for an XXZ spin-1 chain: A perspective from infinite matrix product state representation
• Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain
• Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain
• Floating, critical and dimerized phases in a frustrated spin-3/2 chain
• Ground-state phase diagram of the frustrated spin-1/2 two-leg honeycomb ladder
• From SU(2)${}_5$ to SU(2)${}_3$ Wess-Zumino-Witten transitions in a frustrated spin-5/2 chain
• Exact zero modes in frustrated Haldane chains
• 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
• Rigorous decoupling between edge states in frustrated spin chains and ladders
• Bound states and deconfined spinons in the dynamical structure factor of the $J_1-J_2$ spin-1 chain
• Ground State Phases of Distorted $S=1$ Diamond Chains
• Realization of Wess-Zumino-Witten transitions with levels $k=6$ and $k=4$ in a frustrated spin-3 chain
• Critical properties of a comb lattice
• Emergent incommensurate correlations in the frustrated ferromagnetic spin-1 chains
• ${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder
• Instability of the Haldane Phase: Roles of Charge Fluctuations and Hund's Coupling
• Extended Ashkin-Teller transition in two coupled frustrated Haldane chains
• Emergent quasi-particles of spin-1 trimer chain