Commensurate and incommensurate correlations in Haldane gap antiferromagnets

Abstract

We analyze the onset of incommensurabilities around the VBS point of the S=1 bilinear-biquadratic model. We propose a simple effective field theory which is capable of reproducing all known properties of the commensurate-incommensurate transition at the disorder point ${\theta }_{\mathrm{vbs}}$. Moreover, the theory predicts another special point ${\theta }_{\mathrm{disp}}$, distinct from the VBS point, where the Haldane gap behaves singularly. The ground state energy density is an analytic function of the model parameters everywhere, thus we do not have phase transitions in the conventional sense.

8 pages, 2 figures, to appear in PRB

References in corpus (4)

• Alternating Spin and Orbital Dimerization in Strong-coupling Two-band Models
• Delta-Function Bose Gas Picture of S=1 Antiferromagnetic Quantum Spin Chains Near Critical Fields
• Transition from Haldane Phase to Spin Liquid and Incommensurate Correlation in Spin-1/2 Heisenberg Chains
• Frustrated antiferromagnetic quantum spin chains for spin length S > 1

Cited by in corpus (12)

• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• The SU(3) bosons and the spin nematic state on the spin-1 bilinear-biquadratic triangular lattice
• Two-dimensional gapless spin liquids in frustrated SU(N) quantum magnets
• Onset of incommensurability in quantum spin chains
• Spinon excitation and Möbius boundary condition in S=1/2 antiferromagnetic Heisenberg spin ladder with zigzag structure
• Incommensurability and edge states in the one-dimensional S=1 bilinear-biquadratic model
• Universal relation between the dispersion curve and the ground-state correlation length in 1D antiferromagnetic quantum spin systems
• Incommensurability Effects in Odd Length J_1-J_2 Quantum Spin Chains: On-site magnetization and Entanglement
• Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions
• Topological edge states in spin 1 bilinear-biquadratic model
• Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains
• Cancellation of oscillatory behaviors in incommensurate region