...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical Review X >From Spinon Band Topology to the Symmetry Quantum Numbers of Monopoles in Dirac Spin Liquids
【24h】

From Spinon Band Topology to the Symmetry Quantum Numbers of Monopoles in Dirac Spin Liquids

机译：从Spinon带拓扑到狄拉克旋转液体的对称量子数量

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The interplay of symmetry and topology has been at the forefront of recent progress in quantum matter. Here, we uncover an unexpected connection between band topology and the description of competing orders in a quantum magnet. Specifically, we show that aspects of band topology protected by crystalline symmetries determine key properties of the Dirac spin liquid (DSL), which can be defined on the honeycomb, square, triangular, and kagome lattices. At low energies, the DSL on all of these lattices is described by an emergent quantum electrodynamics ( QED 3 ) with N f = 4 flavors of Dirac fermions coupled to a U ( 1 ) gauge field. However, the symmetry properties of the magnetic monopoles, an important class of critical degrees of freedom, behave very differently on different lattices. In particular, we show that the lattice momentum and angular momentum of monopoles can be determined from the charge (or Wannier) centers of the corresponding spinon insulator. We also show that for DSLs on bipartite lattices, there always exists a monopole that transforms trivially under all microscopic symmetries owing to the existence of a parent S U ( 2 ) gauge theory. We connect our results to generalized Lieb-Schultz-Mattis theorems and also derive the time-reversal and reflection properties of monopoles. Our results indicate that recent insights into free-fermion band topology can also guide the description of strongly correlated quantum matter.
机译：对称性和拓扑的相互作用是Quantum物质最近进展的最前沿。在这里，我们发现带拓扑的意外连接和量子磁体中的竞争订单的描述。具体地，我们示出了通过晶体对称保护的带拓扑的方面决定了Dirac旋转液（DSL）的关键特性，其可以在蜂窝，方形，三角形和Kagome格子上定义。在低能量下，所有这些晶格上的DSL由突出量子电动电动（QED 3）描述，N F = 4次耦合到U（1）计域的DIAC晶片。然而，磁垄断的对称性属性，这是一种重要的临界自由度，在不同的格子上表现得非常不同。特别是，我们表明，可以从相应的旋转绝缘体的电荷（或卫尔）中心来确定晶格动量和垄断的角度动量。我们还表明，对于二角形格子上的DSL，由于父母的u（2）尺度理论而言，总是存在一个单极性地在所有显微镜对称下变换。我们将结果连接到广义Lieb-Schultz-Mattis定理，并获得了垄断的时间逆转和反思属性。我们的结果表明，最近进入自由Fermion带拓扑的见解还可以指导强烈相关量子物质的描述。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号