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Effects of impurity in a two-leg spin ladder

2本足スピン背後系における不純物効果

杉本 貴則; 森 道康  ; 遠山 貴己; 前川 禎通

Sugimoto, Takanori; Mori, Michiyasu; Toyama, Takami; Maekawa, Sadamichi

Recent study has shown an impurity-induced magnetic order in a two-leg spin-ladder system BiCu$$_{2}$$PO$$_{6}$$. They experimentally and numerically investigated effects of non-magnetic impurity by using NMR, and quantum Monte Carlo simulation. The effect can be understood with the picture of local spin freezing emerging in low-dimensional spin-gapped system, e.g. CuGeO$$_{3}$$ and SrCu$$_{2}$$O$$_{3}$$. However, inelastic neutron scattering for BiCu$$_{2}$$PO$$_{6}$$ has shown that a strong frustration shifts a wave number of the lowest excitation from commensurate to incommensurate, in contrast with the compounds CuGeO$$_{3}$$ and SrCu$$_{2}$$O$$_{3}$$. Thus, the impurity-induced magnetic order may also have an incommensurate wave number. We numerically study effects of impurity on the magnetic excitations in a frustrated two-leg spin-ladder system, in which all magnetic exchange interactions. The dynamical density-matrix renormalization-group method is used to calculate the excitation spectrum in the incommensurate rung-singlet phase. The incommensurate wave number can be observed using inelastic neutron scattering for Zn-doped BiCu$$_{2}$$PO$$_{6}$$.

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