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Recently, it has been shown by analytical and numerical analyses that magnetic multipolar correlations exhibit a quasi long-range order in the wide region of the magnetic-field-induced Tomonaga-Luttinger liquid (TLL) phase in the frustrated spin-1/2 zigzag chains. The zigzag chain is the minimal model for several quasi-one-dimensional cuprates, such as LiCuVO4. The multipolar liquid phases are therefore expected to be realized in them. In order to directly detect multipolar orders, one has to observe four- or more-point spin correlation functions, but it is generally difficult. Thus, to propose effective ways of detecting multipolar orders are strongly called for. Motivated by this situation, we have found that the temperature and magnetic-field dependence of NMR relaxation rate 1/T_1 and the wavenumber dependence of dynamical structure factors S^{ab}(k,w) contain characteristic features of multipolar liquid phases in the zigzag spin chains. Namely, it has shown that (1) in contrast to conventional TLLs, 1/T_1 decreases with lowering temperature in the high-magnetic-field region, (2) the gapless points of S^{ab} is clearly different from those of antiferromagnetic spin chains. These features would be useful in searching multipolar liquid phases in quasi one-dimensional magnets. |
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