Dynamical structure factors of S=1 bond-alternating Heisenberg chains

Physics – Condensed Matter – Statistical Mechanics

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6 pages, 3 figures

Scientific paper

10.1103/PhysRevB.68.134429

We calculate the dynamical structural factor of the S=1 bond-alternating Heisenberg chain. In the Haldane phase, the lowest excited states form the lower edge of the multimagnon continuum in $0 \leq q \leq q_c$ and the one-magnon mode in $q_c \leq q \leq \pi$. As the system approaches the gapless point, $q_c$ shifts towards $q=\pi$ and the largest integrated intensity of the one-magnon mode is decreased. In the singlet-dimer phase, the one-magnon mode appears in $0 \leq q \leq q_c$. As the bond-alternation becomes strong, $q_c$ shifts towards $q=\pi$. In the antiferromagnetic-ferromagnetic bond-alternation region with a strong ferromagnetic coupling, the lowest excited states form the lower edge of the multimagnon continuum in $0 \leq q \leq 0.2\pi$ and $0.8\pi \leq q \leq \pi$, and the one-magnon mode appears in $0.2\pi

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