Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-12-14
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 10 figures, spin-spin and dimer-dimer correlation functions added, missing references added
Scientific paper
The ground state phase of spin-1/2 J_1-J_2 antiferromagnetic Heisenberg model on square lattice in the maximally frustrated regime (J_2 ~ 0.5J_1) has been debated for decades. Here we study this model by using a recently proposed novel numerical method - the cluster update algorithm for tensor product states (TPSs). The ground state energies at finite sizes and in the thermodynamic limit (with finite size scaling) are in good agreement with the state of art exact diagonalization study, and the energy differences between these two studies are of the order of 10^{-3}J_1 per site. At the largest bond dimension available D (D=9), we find a paramagnetic ground state without any valence bond solid order in the thermodynamic limit in the range of 0.5 < J_2/J_1 < 0.6, which implies the emergence of a spin-liquid phase. Furthermore, we investigate the topologically ordered nature of such a spin-liquid phase by measuring a nonzero topological entanglement entropy.
Gu Zheng-Cheng
Verstraete Frank
Wang Lanjuan
Wen Xiao Gang
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