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- W2051275104 abstract "Recent numerical and analytical work has shown that for the square-lattice Heisenberg model the boundary can induce dimer correlations near the edge which are absent in spin-wave theories and nonlinear sigma model approaches. Here, we calculate the nearest-neighbor spin correlations parallel and perpendicular to the boundary in a semi-infinite system for two different square-lattice Heisenberg models: (i) a frustrated ${J}_{1}text{ensuremath{-}}{J}_{2}$ model with nearest- and second-neighbor couplings and (ii) a spatially anisotropic Heisenberg model, with nearest-neighbor couplings $J$ perpendicular to the boundary and ${J}^{ensuremath{'}}$ parallel to the boundary. We find that in the latter model, as ${J}^{ensuremath{'}}/J$ is reduced from unity, the dimer correlations near the edge become longer ranged. In contrast, in the frustrated model, with increasing ${J}_{2}$, dimer correlations are strengthened near the boundary but they decrease rapidly with distance. These results imply that deep inside the N'eel phase of the ${J}_{1}text{ensuremath{-}}{J}_{2}$ Heisenberg model, dimer correlations remain short ranged. Hence, if there is a direct transition between the two, it is either first order or there is a very narrow critical region." @default.
- W2051275104 created "2016-06-24" @default.
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- W2051275104 date "2009-03-12" @default.
- W2051275104 modified "2023-09-25" @default.
- W2051275104 title "Spin correlations near the edge as probe of dimer order in square-lattice Heisenberg models" @default.
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- W2051275104 doi "https://doi.org/10.1103/physrevb.79.094413" @default.
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