PIRSA:14020118 Conference

DOI10.48660/14020118

Conference/School: Emergence in Complex Systems

Lu, Y. (2014). A unification of symmetric Z2 spin liquids on kagome lattice. Perimeter Institute. https://pirsa.org/14020118

Lu, Yuan-Ming. A unification of symmetric Z2 spin liquids on kagome lattice. Perimeter Institute, Feb. 14, 2014, https://pirsa.org/14020118 

@misc{ pirsa_PIRSA:14020118,
  doi = {10.48660/14020118},
  url = {https://pirsa.org/14020118},
  author = {Lu, Yuan-Ming},
  keywords = {},
  language = {en},
  title = {A unification of symmetric Z2 spin liquids on kagome lattice},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {feb},
  note = {PIRSA:14020118 see, \url{https://pirsa.org}}
}

Abstract

While there is mounting numerical evidence for a gapped Z2 spin liquid in the kagome Heisenberg model, a complete characterization of this topological phase remains to be accomplished. A defining property, the projective symmetry group (PSG) which fixes how the emergent excitations of the spin liquid phase transform under symmetry, remains to be determined. Following a Chern-Simons field theory, we show how PSG determines measurable properties of a Z2 spin liquid, such as the existence of symmetry protected gapless edge states. This fact enables us to unify two distinct types of projected wavefunctions for Z2 spin liquids: the Schwinger-boson states and the fermionic spinon states. We also provide concrete predictions for identifying the spin liquid ground state on the kagome lattice.

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