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Accueil du site > Publications > Publications 2011 > Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain

Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain

F. Alet, S. Capponi, H. Nonne, P. Lecheminant, I. P. McCulloch

par Webmaster - 8 novembre 2010

The zero-temperature properties of the SO(5) bilinear-biquadratic Heisenberg spin chain are investigated by means of a low-energy approach and large scale numerical calculations. In sharp contrast to the spin-1 SO(3) Heisenberg chain, we show that the SO(5) Heisenberg spin chain is dimerized with a two-fold degenerate ground state. On top of this gapful phase, we find the emergence of a non-degenerate gapped phase with hidden (Z_2 \times Z_2)^2 symmetry and spin-3/2 edge states that can be understood from a SO(5) AKLT wave function. We derive a low-energy theory describing the quantum critical point which separates these two gapped phases. It is shown and confirmed numerically that this quantum critical point belongs to the SO(5)_1 universality class.

Phys. Rev. B 83, 060407(R) (2011), arXiv:1011.1265