1204.6381 (Fan Yang et al.)

Frustrated RVB states in 2D: classifications and short-range
correlations    [PDF]

Fan Yang, Hong Yao

Resonating valence bond (RVB) states are of crucial importance in our intuitive understanding of quantum spin liquids in two dimensions (2D). We systematically classify short-range RVB states into symmetric or nematic spin liquids, by examining their flux patterns. We further map short-range RVB states into projected BCS wave functions, on which we perform large-scale Monte Carlo simulations without the minus sign problem. Our results clearly show that both spin and dimer correlations decay exponentially in all the short-range frustrated RVB states we studied, indicating that they are gapped $Z_2$ quantum spin liquids. Generically, we conjecture that all short-range frustrated RVB states in 2D have short-range correlations.

View original: http://arxiv.org/abs/1204.6381