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- W2022076705 abstract "We study the locations of the gapless points which occur for quantum spin chains of finite length (with a twisted boundary condition) at particular values of the nearest-neighbor dimerization, as a function of the spin $S$ and the number of sites. For strong dimerization and large values of $S$, a tunneling calculation reproduces the same results as those obtained from more involved field theoretic methods using the nonlinear $ensuremath{sigma}$-model approach. A different analytical calculation of the matrix element between the two N'eel states gives a set of gapless points; for strong dimerization, these differ significantly from the tunneling values. Finally, the exact diagonalization method for a finite number of sites yields a set of gapless points which are in good agreement with the N'eel state calculations for all values of the dimerization, but the agreement with the tunneling values is not very good even for large $S$. This raises questions about possible corrections to the tunneling results." @default.
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- W2022076705 date "2006-11-21" @default.
- W2022076705 modified "2023-10-08" @default.
- W2022076705 title "Gapless points of dimerized quantum spin chains: Analytical and numerical studies" @default.
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- W2022076705 doi "https://doi.org/10.1103/physrevb.74.184424" @default.
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