Lu, Y. (2014). A unification of symmetric Z2 spin liquids on kagome lattice. Perimeter Institute for Theoretical Physics. https://pirsa.org/14020118
MLA
Lu, Yuan-Ming. A unification of symmetric Z2 spin liquids on kagome lattice. Perimeter Institute for Theoretical Physics, Feb. 14, 2014, https://pirsa.org/14020118
BibTex
@misc{ scivideos_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 for Theoretical Physics},
year = {2014},
month = {feb},
note = {PIRSA:14020118 see, \url{https://scivideos.org/pirsa/14020118}}
}
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.
