We use a quantum Monte Carlo method to study the ground state and thermodynamic phase transitions of the spin supersolid phase in the S=1 Heisenberg model with uniaxial anisotropy. The thermal melting of the supersolid phase shows unqiue signatures in experimentally measurable observables. This Hamiltonian is a particular case of a more general and ubiquitous model that describes the low energy spectrum of a class of {\it isotropic} and {\it frustrated} spin systems. We also discuss some alternative realizations of spin supersolid states in real magnets.
The Heisenberg model on a face center cubic (fcc) lattice is a typical three-dimensional frustrated spin system expected to have magnetization plateaus and supersolid phases. There are model compounds $A_2$CoTeO$_6$ ($A$ = Ca, Sr, Pb) for the fcc lattice but with lattice distortions. Motivated by the presence of the compounds, we investigate the ground state of the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice in the magnetic field using a large-size cluster mean-field method for the sake of finding new supersolid phases. We find five supersolid phases in …
We study the ground state phase diagram of a two dimensional mixed-spin system of coupled alternating spin-1 and $1/2$ chains with a stripe supersolid phase. Utilizing different analytical and numerical approaches such as mean field approximation, cluster mean field theory and linear spin wave theory, we demonstrate that our system displays a rich ground state phase diagram including novel stripe supersolid, solids with different fillings and super-counterfluid phases, in addition to a stripe solid with half filling, superfluid and Mott insulating phases. In order to find a minimal mixed-spin …
We use Quantum Monte Carlo method employing stochastic-series-expansion technique to study the ground state properties of the $t_2-V_1$ model on a square lattice. We find that, away from half-fillings, the minimal combination of nearest-neighbor repulsion $V_1$ and next-nearest-neighbor hopping $t_2$ may give rise to checkerboard supersolidity. The nature of the quantum phase transition, where the superfluid changes to a checkerboard supersolid, depends on the relative strength of $V_1/t_2$ and the average site occupancy. Interestingly, the model exhibits a mixed-order transition near half fil…
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)
By using a state of art tensor network state method, we study the ground-state phase diagram of an extended Bose-Hubbard model on the square lattice with frustrated next-nearest neighboring tunneling. In the hardcore limit, tunneling frustration stabilizes a peculiar half supersolid (HSS) phase with one sublattice being superfluid and the other sublattice being Mott Insulator away from half filling. In the softcore case, the model shows very rich phase diagrams above half filling, including three different types of supersolid phases depending on the interaction parameters. The considered model…
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)
Prototypical models and their material incarnations are cornerstones to the understanding of quantum magnetism. Here we show theoretically that the recently synthesized magnetic compound Na$_2$BaCo(PO$_4$)$_2$ (NBCP) is a rare, nearly ideal material realization of the $S=1/2$ triangular-lattice antiferromagnet with significant easy-axis spin exchange anisotropy. By combining the automatic parameter searching and tensor-network simulations, we establish a microscopic model description of this material with realistic model parameters, which can not only fit well the experimental thermodynamic da…
$d$-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)
Double Supersolid Phase in a Bosonic t-J-V Model with Rydberg Atoms
Fudan University(复旦大学);Shanghai Qizhi Institute and Shanghai Artificial Intelligence Laboratory(上海启智研究所与上海人工智能实验室);Hefei National Laboratory(合肥国家实验室);Westlake University(西湖大学);Institute of Natural Sciences, Westlake Institute for Advanced Study(西湖高等研究院自然科学院);Shanghai Research Center for Quantum Sciences(上海量子科学研究中心)