Non-Abelian chiral spin liquid on spin-1 kagome lattice: truncation of an exact Hamiltonian and numerical optimization
Błażej Jaworowski, Anne E. B. Nielsen
备注：
This is the final version published in PRB. Some changes (incl. a new section) were made to clarify the presentation and discuss the relation to other works. During the review process, we realized that (6) and (11) are equivalent to the wavefunction and the Hamiltonian (respectively) from [44], which influenced the discussion but not the results. Typos and minor mistakes were corrected
We search for short-range Hamiltonians of finite spin-1 kagome systems, maximizing the overlaps with lattice Moore-Read states. Our starting point is an exact, long-range parent Hamiltonian for such a state on a finite plane, obtained from conformal field theory. A truncation procedure is applied to it, which retains only short-range terms and makes it easy to define the Hamiltonian on a torus. Finally, the remaining coefficients are optimized, to yield maximized overlaps between exact diagonalization results and model ground states. In the best cases, these overlaps exceed 0.9 and 0.8 for the three lowest states of 12- and 18-site systems, respectively, suggesting that the obtained Hamiltonians are good parent Hamiltonians for a non-Abelian topological order.
Evolution of the Chern Gap in Chern Magnet HoMn$_6$Sn$_{6-x}$Ge$_x$
陈氏能隙是一种可以容纳非阿贝尔粒子的独特拓扑特征。Kagome晶格形成没有间隙的Chern绝缘体。在包含磁性后，Kagome系统在晶格中的K点处具有Chern间隙。在这项工作中，Ge掺杂的HoMn $_6$锡$_{6}$的影响进行了研究。可以看出，随着掺杂的增加，在HoMn $_6$ Sn $_{6-x}$ Ge $_x$中形成多堆叠Chern间隙。此外，HoMn $_6$ Ge $_{6}$中的Chern能隙比HoMn $_6$ Sn $_{6}$中的Chern能隙更显著且能量更大。
From the $SU(2)$ Quantum Link Model on the Honeycomb Lattice to the Quantum Dimer Model on the Kagomé Lattice: Phase Transition and Fractionalized Flux Strings
Quantum Phase Diagram of the $2+1$D Untruncated SU$(2)$ Lattice Gauge Theory with Dynamical Fermions
Ludwig Maximilian University of Munich（慕尼黑大学）；Arnold Sommerfeld Center for Theoretical Physics (ASC)（阿诺德·索末菲理论物理中心）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Massachusetts Institute of Technology（麻省理工学院）；Center for Theoretical Physics - a Leinweber Institute（莱因韦伯理论物理中心）；Ulm University（乌尔姆大学）；Institute for Complex Quantum Systems（复杂量子系统研究所）；Center for Integrated Quantum Science and Technology (IQST)（综合量子科学与技术中心）；European Organisation for Nuclear Research (CERN)（欧洲核子研究组织）；Max Planck Institute of Quantum Optics（马克斯·普朗克量子光学研究所）；Kyung Hee University（庆熙大学）
