Bound states and E_8 symmetry effects in perturbed quantum Ising chains

Details Bound states and E_8 symmetry effects in perturbed quantum Ising chains Bound states and E_8 symmetry effects in perturbed quantum Ising chains

2010-08-20

arxiv.org/abs/1008.3534v2

J. Kj\"all, F. Pollmann and J. E. Moore, Phys. Rev B 83, 020407 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.83.020407

In a recent experiment on CoNb_2O_6, Coldea et al. [Science 327, 177 (2010)] found for the first time experimental evidence of the exceptional Lie algebra E_8. The emergence of this symmetry was theoretically predicted long ago for the transverse quantum Ising chain in the presence of a weak longitudinal field. We consider an accurate microscopic model of CoNb_2O_6 incorporating additional couplings and calculate numerically the dynamical structure function using a recently developed matrix-product-state method. The excitation spectra show bound states characteristic of the weakly broken E_8 symmetry. We compare the observed bound state signatures in this model to those found in the transverse Ising chain in a longitudinal field and to experimental data.

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