1210.1481 (Hong-Hao Tu)

Projected BCS states and spin Hamiltonians for the SO(n)_1 WZW model    [PDF]

Hong-Hao Tu

We propose a class of projected BCS wave functions and derive their parent spin Hamiltonians. These wave functions can be formulated as infinite Matrix Product States constructed by chiral correlators of Majorana fermions, which are primary fields of the SO(n)_1 Wess-Zumino-Witten model. We numerically compute their spin-spin correlation functions and Renyi entropies for n=5 and 6. Together with the results for n=3 and 4, we conclude that these states are critical and their low-energy effective theory is an SO(n)_1 Wess-Zumino-Witten model.

View original: http://arxiv.org/abs/1210.1481