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We study the two-leg Heisenberg ladder with four-spin cyclic interaction using the (dynamical) density-matrix renormalization-group method. We demonstrate the dependence of the low-lying excitations in the spin wave, staggered dimer order, and scalar-chirality order structure factors on the four-spin cyclic interaction. We find that the cyclic interaction enhances spin-spin correlations with wave vector around momentum (qₓ,qy)=(π2,0). Also, the presence of long-range order in the staggered dimer and scalar-chirality phases is confirmed by a δ-function peak contribution of the structure factors at energy ω=0.
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Nishimoto et al. (2009) studied this question.
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