Probing non-unitarity in fractional quantum Hall states

Recent developments[1,2,3] have proposed an exact matrix product state representation of a large series of fractional quantum Hall states. The model states include all paired $k=2$ Jack polynomials, such as the Moore-Read and Gaffnian states, as well as the Read-Rezayi $k=3$ state. We will discuss how this approach provides some new insight on the pathological features on the non-unitarity states such as the Gaffnian. [1] M.P. Zaletel and R.S. K. Mong, Phys. Rev. B 86, 245305 (2012). [2] B. Estienne, Z. Papic, N. Regnault, B. A. Bernevig, Phys. Rev. B 87, 161112(R) (2013). [3] B. Estienne, N. Regnault, B. A. Bernevig, arXiv:1311.2936.