| 研究実績の概要 |
Competing interactions---or frustration---between the constituents of a many-body system have proven to be an origin of exotic phases of matter.
A famous example in this context are quantum spin liquids (QSL), that do not exhibit conventional magnetic order of spin-dipolar moments, but rather are defined by emergent gauge fields, fractionalized excitations, and topological order. On the other hand, ordering of higher moments like spin-quadrupoles may occur as well. Unlike spin-dipolar order, spin-quadrupolar order is defined by a director---an arrow without a head---in close analogy to the rods of nematic order and liquid crystals. Thus, spin-quadrupolar order is also named quantum spin nematic (QSN).
Within this fiscal year, we have mostly tried to address the nature of the incommensurate mode occurring within the QSN phase of the J1K model. A manuscript is now in preparation.
Our Kitaev-magnet related work obtaining a proximate Tomonaga Luttinger liquid with bond-quadrupoles similar to the QSN has been accepted for publication and is currently in the production process [Preprint available under arXiv:2212.11000]. A second manuscript is in preparation containing more details about other phases occurring in the corresponding model. Here, no additional calculations and computations are planned.
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