Numerical Study of Quantum Spin-Nematic Order in Frustrated Ferromagnets and its Relation to Quantum Spin Liquids

受抑铁磁体中量子自旋向列序的数值研究及其与量子自旋液体的关系

基本信息

批准号：
22K14008
负责人：
Gohlke Matthias
金额：
$ 2万
依托单位：
Okinawa Institute of Science and Technology Graduate University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Early-Career Scientists
财政年份：
2022
资助国家：
日本
起止时间：
2022-04-01 至 2024-03-31
项目状态：
已结题

项目摘要

With respect to my proposal, I have mostly finished goal (1) the ground state phase diagram of the square-lattice J1K model, goal (2) dynamical signatures of the quantum spin-nematic (QSN) phase, and partly goal (3) about identifying the microscopic nature of the QSN.In particular, using matrix product state based methods, I have identified not only the QSN phase, but also a four-sublattice dipolar ordered state, a strongly canted two-sublattice antiferromagnet, and a vector-chiral phase. An additional instability was identified at incommensurate wave vectors resulting in richer dynamics of the QSN than the previously anticipated 'ghost'-Goldstone mode.Possible numerical issues, i.e. finite-size effects, have been investigated not resulting in bigger issues.A second model related to Kitaev-Magnets and hosting bond-quadrupole moments similar to the QSN phase of the J1K model was studied as well. The main difference being, that the latter does have much lower symmetry and quadrupole moments are naturally occurring due to off-diagonal symmetric exchange. Nonetheless, a quantum spin liquid related to a Tomanaga-Luttinger liquid in an effective 1D model has been found. A preprint is already available [arXiv:2212.11000].I have presented results of both projects as oral presentations and as a poster presentations at conferences and as seminars. A first publication is currently in preparation.

关于我的提议，我的目标（1）正方形J1K型号的基态相图，量子自旋nematic（QSN）阶段的动力学签名和部分目标（3）关于尤其是使用基于基质产品状态的方法，尤其是识别QSN的显微镜性质，我不仅确定了QSN阶段，还确定了四个公共的偶性有序状态，一个强烈的两种偶然的两种式抗fiferromagagnet和vector-vector--手性阶段。比先前预期的“幽灵”岩石模式更丰富的QSN动态，在不兑换的波矢量上确定了额外的不稳定性。还没有对有限的数值问题，即有限尺寸的效果，并未遇到更大的问题。第二个模型相关。还研究了类似于J1K模型的QSN相似的Kitaev-Magnet和托管键 - 四极矩。主要区别在于，由于异对男子对称交换，后者确实具有较低的对称性和四极力矩。但是，在有效的1D模型中发现了与tomanaga-luttinger液体相关的量子自旋液体。预印本已经可用[arxiv：2212.11000]。目前正在准备第一个出版物。