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- W2006875595 abstract "The excitation energies of magnons and solitons as well as the ground-state energy of the spin-1 antiferromagnetic Heisenberg-Ising ring are studied by the numerical method. The method of Vanden Broeck and Schwartz is used to estimate the infinite-lattice limits accurately. The result confirms Haldane's prediction that a novel singlet phase with a nonzero excitation gap appears between the gapless XY phase and the doublet ground-state N'eel phase. It extends over the range of anisotropy (${ensuremath{Delta}}_{l}$ensuremath{le}ensuremath{Delta}ensuremath{le}${ensuremath{Delta}}_{u}$) around the isotropic Heisenberg point ensuremath{Delta}=0.5. It is ascertained that at the upper transition point ${ensuremath{Delta}}_{u}$=0.540ifmmodepmelsetextpmfi{}0.001 (1) the longitudinal magnon gap closes, (2) the soliton existing in the Ising side softens, and (3) the second derivative of the ground-state energy diverges. Around the lower transition point of ${ensuremath{Delta}}_{l}$=0.38ifmmodepmelsetextpmfi{}0.02, the transverse magnon gap exhibits an exponential singularity accompanying with the slight anomaly of the second derivative of the ground-state energy." @default.
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- W2006875595 date "1987-07-01" @default.
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- W2006875595 title "Magnons and solitons in a spin-1 antiferromagnetic Heisenberg-Ising ring" @default.
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- W2006875595 doi "https://doi.org/10.1103/physrevb.36.799" @default.
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