Dimer-Quadrupolar Quantum Phase Transition in the Quasi-One-Dimensional Heisenberg Model with Biquadratic Interaction

Abstract

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase transition from a spontaneously dimerized phase to a Néel ordered or spin nematic phase. The numerical results suggest the possibility of an unconventional second-order transition in which the symmetry group characterizing one phase is not a subgroup of the other.

4 pages, 4 figures

References in corpus (13)

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• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Mott Domains of Bosons Confined on Optical Lattices
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice
• Dimer state of spin-1 Bosons in an optical lattice
• Recent Developments of World-Line Monte Carlo Methods
• Quadrupolar Order in Isotropic Heisenberg Models with Biquadratic Interaction
• Deconfined criticality critically defined
• Finite-size Scaling of Correlation Ratio and Generalized Scheme for the Probability-Changing Cluster Algorithm
• Local density approximation for confined bosons in an optical lattice

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• Dynamics and relaxation in spin nematics
• Pairing of Solitons in Two-Dimensional S=1 Magnets
• Quantum critical scaling behavior of deconfined spinons
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• Origin of Biquadratic Exchange Interactions in a Mott Insulator as a Driving Force of Spin Nematic Order
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• Phase Diagrams for Spin-1 Bosons in an Optical Lattice
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
• Spin solid phases of spin 1 and spin 3/2 antiferromagnets on a cubic lattice
• Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice
• Neel-VBS phase boundary of the extended J_1-J_2 model with biquadratic interaction
• Quantum dimer models emerging from large-spin ultracold atoms
• Dynamical quadrupole structure factor of frustrated ferromagnetic chain
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• Diffusion in the Continuous-Imaginary-Time Quantum World-Line Monte Carlo Simulations with Extended Ensembles
• Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions
• Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions