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arXiv · 1204.6381

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

Fan Yang·Hong Yao
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Abstract

Resonating valence bond (RVB) states are of crucial importance in our intuitive understanding of quantum spin liquids in 2D. We systematically classify short-range bosonic RVB states into symmetric or nematic spin liquids by examining their flux patterns. We further map short-range bosonic 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 (non-bipartite or $Z_2$) bosonic RVB states we studied, indicating that they are gapped $Z_2$ quantum spin liquids. Generically, we conjecture that all short-range frustrated bosonic RVB states in 2D have only short-range correlations.

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Fan Yang, Hong Yao. 2012-10-09. Frustrated RVB states in 2D: classifications and short-range correlations. https://arxiv.org/abs/1204.6381

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