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Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model | Hong-Chen Jiang
; Hong Yao
; Leon Balents
; | Date: |
10 Dec 2011 | Abstract: | We perform highly accurate density matrix renormalization group (DMRG)
simulations to investigate the ground state properties of the spin-1/2
antiferromagnetic square lattice Heisenberg $J_1$-$J_2$ model. Based on studies
of numerous long cylinders with circumferences of up to 10 lattice spacings, we
obtain strong evidence for a topological quantum spin liquid state in the
region $0.41leq J_2/J_1leq 0.62$, separating conventional N’eel and striped
antiferromagnetic states for smaller and larger $J_2/J_1$, respectively. The
quantum spin liquid is characterized numerically by the absence of magnetic or
valence bond solid order, and non-zero singlet and triplet energy gaps.
Furthermore, we positively identify its topological nature by measuring a
non-zero topological entanglement entropy and a non-trivial finite size
dimerization effect depending upon the parity of the circumference of the
cylinder. | Source: | arXiv, 1112.2241 | Services: | Forum | Review | PDF | Favorites |
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