Understanding novel quantum spin liquids with high energy theory

在我的JSPS奖学金的第二年，我在第一年取得的惊人进展的基础上进一步发展。我的主要关注点是弯曲空间中的一个简单的分形子激发模型。在2019年，我展示了我的模型如何重现量子引力全息公式的关键结果，包括标志性的纠缠熵的Ryu-Takanagi公式[H.Yan，Phys。B修订版99,155126(2019年)]。在另外两篇单一作者的论文中，我扩展了我的工作，以揭示它与位线程模型的联系。B修订版，245138(2019年)]，利夫希茨引力[严华明，Arxiv：1911.01007]。这是一项令人印象深刻的工作，为我在更广泛的社区赢得了相当大的声誉。我对蓬勃发展的分形子领域的另一个贡献是展示了一个简单的呼吸焦绿石磁模型满足支持分形子激发所需的条件。这项工作在去年的报告中作了描述，也引起了相当大的关注，并吸引了PSI(瑞士)和麻省理工学院研讨会的邀请。相关论文[H.Yan et al.，Phys.Rev.Lett 124,127203(127203)]，被选为编辑的选择，并在APS杂志《物理》上的一篇文章中进行了评论。此外，我还参与了一个合作项目，探索机器学习技术是否可以用来识别和表征自旋液体。该项目也取得了成功，该机器能够独立重建量子自旋冰模型的相图[J·格雷特曼等人，物理。B版本100,174408(2019年)]

In the second year of my JSPS Fellowship, I have built further on the spectacular progress I made during the first year.My main focus has been on a simple model of fracton excitations in a curved space. In 2019, I showed how my model could reproduce key results from the holographic formulation of quantum gravity, including the iconic Ryu-Takanagi formula for entanglement entropy [H. Yan, Phys. Rev. B 99, 155126 (2019)]. In two further single-author papers, I have extended my work to reveal its connections with the bit-thread model [H. Yan, Phys. Rev. B 100, 245138 (2019)], and Lifshitz gravity [H. Yan, arXiv:1911.01007]. This is an impressive body of work, and has earned me considerable credit in the wider community.My other contribution to the burgeoning field fractons is to show that a simple model of breathing-pyrochlore magnet meets the conditions needed to support fracton excitations. This work, which was described in last year's report, has also attracted considerable attention, and attracted invitations for seminars at PSI (Switzerland) and MIT. The associated paper [H. Yan et al., Phys. Rev. Lett 124, 127203 (2020)], was singled out as an Editor's Selection, and reviewed in an article in the APS Magazine "Physics".In addition to this, I also worked on a collaborative project to explore whether machine-learning techniques could be used to identify and characterise spin liquids. This project was also a success, with the machine able to independently reconstruct the phase diagram of a model of quantum spin ice [J. Greitemann et al., Phys. Rev. B 100, 174408 (2019)]