Speaker
Didina Serban
Description
We are defining and studying a fermionic integrable model which is a long-range version of the XXZ model at $\Delta=0$. The model can be obtained as the q=i limit of the q-deformed Haldane-Shastry model studied previously. Unlike its short-distance cousin, and very much like the Haldan-Shastry model, it possesses extended symmetry. The model is non-unitary and has unusual properties. In the even-site case N=2L all the energies are zero and the spectrum contains Jordan blocks of size up to L+1. In the odd-site case the one-magnon spectrum is linear.
