Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions
arXiv:1503.08256 · doi:10.1140/epjb/e2015-50825-y
Abstract
The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is expected that the criticality belongs to a novel universality class, the so-called deconfined criticality, accompanied with unconventional critical indices. In this paper, we incorporate the three-spin interaction, and adjust the (redundant) interaction parameter so as to optimize the finite-size behavior. Treating the finite-size cluster with N \le 20 spins, we estimate the correlation-length critical exponent as ν=0.88 (3).
References in corpus (35)
- "Deconfined" quantum critical points
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
- Critical exponents and equation of state of the three-dimensional Heisenberg universality class
- Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression
- Scaling in the Fan of an Unconventional Quantum Critical Point
- Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling
- Deconfined quantum criticality and Neel order via dimer disorder
- A lattice model for the SU(N) Neel-VBS quantum phase transition at large N
- From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
- Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
- Deconfined criticality flow in the Heisenberg model with ring-exchange interactions
- Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
- Possibility of Deconfined Criticality in SU(N) Heisenberg Models at Small N
- Néel to valence-bond solid transition on the honeycomb lattice: Evidence for deconfined criticality
- Search for the Nondimerized Quantum Nematic Phase in the Spin-1 Chain
- Quadrupolar Order in Isotropic Heisenberg Models with Biquadratic Interaction
- The SU(N) Heisenberg model on the square lattice: a continuous-N quantum Monte Carlo study
- Gauge theory picture of an ordering transition in a dimer model
- Phase diagram of an extended classical dimer model
- Quantum criticality in SU(3) and SU(4) anti-ferromagnets
- Corrections to scaling in the critical theory of deconfined criticality
- Antiferromagnetic spin-S chains with exactly dimerized ground states
- Weak first-order superfluid--solid quantum phase transitions
- Dimer-Quadrupolar Quantum Phase Transition in the Quasi-One-Dimensional Heisenberg Model with Biquadratic Interaction
- Frustrated Heisenberg antiferromagnets: fluctuation induced first order vs deconfined quantum criticality
- A non-abelian spin-liquid in a spin-1 quantum magnet
- Dimerizations in spin- antiferromagnetic chains with three-spin interaction
- Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model
- Berry phase investigation of spin-S ladders
- Quantum Phase Transition in the Four-Spin Exchange Antiferromagnet
- Phase diagram of the spin-1 Heisenberg model with three-site interactions on the square lattice
- First- order versus unconventional phase transitions in three-dimensional dimer models
- Deconfined quantum criticality and logarithmic violations of scaling from emergent gauge symmetry
- Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice