Abstract
Understanding disorder-induced exotic states in two-dimensional magnets is one of the central topics in the study of frustrated magnetism. Here, the authors focus on the randomness-induced disordered phase in the spin-\textonehalf{} ${J}_{1}\ensuremath{-}{J}_{2}$ square-lattice Heisenberg model with a strong bond randomness, by using large-scale density matrix renormalization group (DMRG) simulations. The results not only reveal the absent spin-glass order, but also identify the power-law decay of the average spin correlation and the exponential decay of the typical spin correlation. These all agree with the corresponding behavior in the one-dimensional random-singlet state and characterize the random-singlet nature of this disordered phase. This shows that DMRG simulations provide opportunities for exploring the disorder effect in two-dimensional magnets.
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