Supersolid phases, in which a superfluid component coexists with conventional crystalline long range order, have recently attracted a great deal of attention in the context of both solid helium and quantum spin systems. Motivated by recent experiments on 2H-AgNiO$_2$, we study the magnetic phase diagram of a realistic three-dimensional spin model with single-ion anisotropy and competing interactions on a layered triangular lattice, using classical Monte Carlo simulation techniques, complemented by spin-wave calculations. For parameters relevant to experiment, we find a cascade of different phases as a function of magnetic field, including three phases which are supersolids in the sense of Liu and Fisher. One of these phases is continuously connected with the collinear ground state of AgNiO$_2$, and is accessible at relatively low values of magnetic field. The nature of this low-field transition, and the possibility of observing this new supersolid phase in AgNiO$_2$, are discussed.
RKKY-dipolar Interactions and 3D Spin Supersolid on Stacked Triangular Lattice
Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；Hefei Institutes of Physical Science, Chinese Academy of Sciences（中国科学院合肥物质科学研究院）；University of Science and Technology of China（中国科学技术大学）；China Jiliang University（中国计量大学）；Shanghai Jiao Tong University（上海交通大学）；Nanjing University（南京大学）；Lanzhou University（兰州大学）
A microscopic design rule for spin supersolids in triangular-lattice magnets
Advanced Science Research Center, Japan Atomic Energy Agency（日本原子力机构先进科学研究中心）；RIKEN Center for Emergent Matter Science (CEMS)（理化学研究所 emergent matter science 中心）
Electrical Transport and Quantum Oscillations in the Metallic Spin Supersolid EuCo2Al9
Hefei Institutes of Physical Science, Chinese Academy of Sciences（中国科学院合肥物质科学研究院）；University of Science and Technology of China（中国科学技术大学）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；China Jiliang University（中国计量大学）；Shanghai Jiao Tong University（上海交通大学）；Nanjing University（南京大学）
Transverse order and longitudinal fluctuations in a near-Ising spin supersolid
ETH Zürich（苏黎世联邦理工学院）；Université Grenoble Alpes, CEA, IRIG, MEM, MDN（格勒诺布尔阿尔卑斯大学）；J-PARC Center, Japan Atomic Energy Agency（日本原子力机构J-ARC中心）；Dresden High Magnetic Field Laboratory (HLD-EMFL) and Würzburg-Dresden Cluster of Excellence ctd.qmat, Helmholtz-Zentrum Dresden-Rossendorf（德累斯顿强磁场实验室和维尔茨堡-德累斯特卓越集群ctd.qmat，亥姆霍兹德累斯顿-罗斯多夫中心）；PSI Center for Neutron and Muon Sciences（保罗谢尔研究所中子与μ子科学中心）；Neutron Scattering Division, Oak Ridge National Laboratory（橡树岭国家实验室中子散射部）
Emergent Spin Supersolids in Frustrated Quantum Materials
RIKEN Center for Emergent Matter Science (CEMS)（理化学研究所新兴物质科学中心）；RIKEN Center for Computational Science (R-CCS)（理化学研究所计算科学中心）；RIKEN Center for Quantum Computing (RQC)（理化学研究所量子计算中心）；RIKEN Pioneering Research Institute (PRI)（理化学研究所先锋研究 institute）；Advanced Science Research Center, Japan Atomic Energy Agency（日本原子能机构先进科学研究中心）
Supersolid phase and magnetization plateaus observed in anisotropic spin-3/2 Heisenberg model on bipartite lattices
我们研究了自旋为3/2的海森堡模型，包括一维和二维的易平面和交换各向异性。在伊辛极限下，当非对角交换相互作用J为零时，磁场中的相图的特征在于磁化平台，该磁化平台要么是非线性不变的，要么具有两个子晶格顺序，具有宏观简并的相边界。使用现场因式分解的变分波函数和微扰扩展周围的伊辛极限，我们发现，超流和超固相之间的平台出现小的有限值J.变分方法是补充的密度矩阵重整化群研究的一维链和精确的对角化计算的小集群的正方形晶格。所研究的模型可以作为层状Ba 2CoGe 2 O 7材料化合物的极小模型，并且我们相信，在模型参数空间中的均匀1/3平台附近可以被观察到作为测量的磁化曲线中的异常。
Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
RIKEN Center for Emergent Matter Science (CEMS)（理化学研究所物质结构理论研究中心）；School of Physics, Beihang University（北京航空航天大学物理学院）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；Peng Huanwu Collaborative Center for Research and Education, Beihang University（北京航空航天大学彭桓武研究中心）；RIKEN Center for Computational Science (R-CCS)（理化学研究所计算科学中心）；RIKEN Center for Quantum Computing (RQC)（理化学研究所量子计算中心）；RIKEN Pioneering Research Institute (PRI)（理化学所先锋研究本部）；Advanced Science Research Center, Japan Atomic Energy Agency（日本原子力研究机构先进科学研究中心）
$5/9-$Magnetization Plateau and Spin Supersolidity in YCu$_3$(OD)$_{7-x}$Br$_{2+x}$ under Magnetic Fields up to 120~T
Anhui Key Laboratory of Low-Energy Quantum Materials and Devices, High Magnetic Field Laboratory, Hefei Institutes of Physical Science, Chinese Academy of Sciences（中国科学院合肥物质科学研究院）
Dipolar and quadrupolar spin supersolid states in a spin-1 triangular antiferromagnet
RIKEN Center for Emergent Matter Science (CEMS)（理化学研究所物质结构研究センター）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；RIKEN Center for Computational Science (R-CCS)（理化学研究所计算科学研究中心）；RIKEN Center for Quantum Computing (RQC)（理化学研究所量子计算研究中心）；RIKEN Pioneering Research Institute (PRI)（理化学研究所开创性研究所）；Advanced Science Research Center, Japan Atomic Energy Agency（日本原子力机构先进科学研究中心）
Super-Solid phase in a U(2) symmetric S = 1 Magnet on the Triangular Lattice
Renmin University of China（中国人民大学）；Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所凝聚态物理国家实验室）；University of Chinese Academy of Sciences（中国科学院大学）
Dynamical signatures of Hardcore-Boson Supersolid on the Triangular Lattice
Nanjing University of Science and Technology（南京理工大学）；Beihang University（北京航空航天大学）；RIKEN Center for Emergent Matter Science (CEMS)（理化学研究所凝聚物质科学中心）；Beijing Normal University（北京师范大学）；University of California, Davis（加州大学戴维斯分校）
$d$-wave FFLO state and charge-2e supersolidity in the $t$-$t'$-$J$ model under Zeeman fields
Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学与技术学院）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；Arnold Sommerfeld Center for Theoretical Physics, Center for NanoScience, and Munich Center for Quantum Science and Technology, Ludwig-Maximilians-Universität München（慕尼黑大学）
Flux Magnetism in a Strongly Interacting Dipolar Lattice Supersolid under Tunable Gauge Fields
Technische Universität Berlin（柏林工业大学）；Consiglio Nazionale delle Ricerche - Istituto Nazionale di Ottica（意大利国家研究委员会光学研究所）；European Laboratory for Nonlinear Spectroscopy (LENS), Università di Firenze（佛罗伦萨大学非线性光谱欧洲实验室）；University of Florence（佛罗伦萨大学）；ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology（巴塞罗那科技研究所光子科学研究所）；ICREA（加泰罗尼亚高级研究院）；Politecnico di Torino（都灵理工大学）
