DMRG simulation of the SU(3) antiferromagnetic Heisenberg model

We analyze the antiferromagnetic $\mathit{SU}(3)$ Heisenberg chain by means of the density-matrix renormalization group. 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 $\mathit{SU}{(3)}_{1}$ Wess-Zumino-Novikov-Witten model.We analyze the antiferromagnetic $\mathit{SU}(3)$ Heisenberg chain by means of the density-matrix renormalization group. 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 $\mathit{SU}{(3)}_{1}$ Wess-Zumino-Novikov-Witten model.

arXiv:0801.3565Physical Review BJan 26, 200915 citations

DMRG simulations of SU(N) Heisenberg models using a million of states

Andreas Weichselbaum, Sylvain Capponi, Andreas Martin Läuchli +2 more

Bulletin of the American Physical SocietyMar 15, 20170 citations

Trimerized ground state of the spin-1 Heisenberg antiferromagnet on the kagome lattice

Hitesh J. Changlani, Andreas Martin Läuchli

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The $\mathrm{SU}(3)$ -symmetric point of this model Hamiltonian is a spontaneously trimerized state whose qualitative nature persists even at the Heisenberg point, a finding that contrasts previous proposals. We report the ground state energy per site of the Heisenberg model to be $\ensuremath{-}1.410(2)$ and establish the presence of a spin gap.We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The $\mathrm{SU}(3)$-symmetric point of this model Hamiltonian is a spontaneously trimerized state whose qualitative nature persists even at the Heisenberg point, a finding that contrasts previous proposals. We report the ground state energy per site of the Heisenberg model to be $\ensuremath{-}1.410(2)$ and establish the presence of a spin gap.

arXiv:1406.4767Physical Review BMar 30, 201553 citations

DMRG Study of the

S=1/2

Kagome Antiferromagnetic Heisenberg Model

We analyze the antiferromagnetic

\mathit{SU}(3)

Heisenberg chain by means of the density-matrix renormalization group. 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

\mathit{SU}{(3)}_{1}

Wess-Zumino-Novikov-Witten model.

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The

\mathrm{SU}(3)

-symmetric point of this model Hamiltonian is a spontaneously trimerized state whose qualitative nature persists even at the Heisenberg point, a finding that contrasts previous proposals. We report the ground state energy per site of the Heisenberg model to be $\ensuremath{-}1.410(2)$ and establish the presence of a spin gap.