Methods of characterizing magnetic multi-polar and spin-liquid phases

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The purpose of this project is to theoretically solvethe following two questions : What are the effective ways of characterizing magnetic multi-polarordered statesand disordered states such as spin liquids? And what kinds of systems are suitable for the realization of these novel states? To this end, I have focused on realistic models for magnets and cold atom systems. In particular, the result for frustrated spin-1/2 J1-J2 chains is most important inthis project. We have accurately determined the rich ground-state phase diagram of the J1-J2 chain with vector-chiral and new Haldane-dimer phases. Wehave also shown that thetemperature and field dependence of theNMR realizationrate and the field dependence of the peak positionof the neutron scattering spectrum can be effectively usedto characterizethe multi-polar liquid phases induced by external magnetic field in the J1-J2 chains.