DMRG Simulation of the SU(3) AFM Heisenberg Model

Abstract

We analyze the antiferromagnetic $\text{SU}(3)$ Heisenberg chain by means of the Density Matrix Renormalization Group (DMRG). The results confirm that the model is critical and the computation of its central charge and the scaling dimensions of the first excited states show that the underlying low energy conformal field theory is the $\text{SU}(3{)}_1$ Wess-Zumino-Novikov-Witten model.

arXiv commentcorrections and improvements added

References in corpus (17)

• Entanglement Entropy and Quantum Field Theory
• Geometric and Renormalized Entropy in Conformal Field Theory
• The Bethe-Ansatz for N=4 Super Yang-Mills
• The N=4 SYM Integrable Super Spin Chain
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Spin nematics in the bilinear-biquadratic S=1 spin chain
• An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets
• Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians
• Exact spontaneous plaquette ground states for high-spin ladder models
• Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain
• Critical behaviour of a spin-tube model in a magnetic field
• The Schwinger SU(3) construction - I: Multiplicity problem and relation to induced representations
• The ordering of energy levels for SU(n) symmetric antiferromagnetic chains
• One-dimensional spin pyrochlore lattice: exact ground state and elementary excitations
• Complementary colors of colorons: the elementary excitations of the SU(3) Haldane--Shastry model

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• The bilinear-biquadratic spin-1 chain undergoing quadratic Zeeman effect
• Exact entanglement entropy of the XYZ model and its sine-Gordon limit
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Quantum Critical Spin-2 Chain with Emergent SU(3) Symmetry
• Quantum Fisher Information and multipartite entanglement in spin-1 chains
• Dynamics of spin and density fluctuations in strongly interacting few-body systems
• Anomalies and unnatural stability of multi-component Luttinger liquids in ${\mathbb{Z}}_n\times {\mathbb{Z}}_n$ spin chains
• Determination of Tomonaga-Luttinger parameters for a two-component liquid
• Deconfined quantum criticality in SU(3) antiferromagnets on the triangular lattice
• Ordering of Energy Levels for Extended SU(N) Hubbard Chain
• Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain
• The dynamical structure factor of the SU(3) Heisenberg chain: The variational Monte Carlo approach