Space Group Symmetry Fractionalization in a Chiral Kagome Heisenberg Antiferromagnet

Michael P. Zaletel, Zhenyue Zhu, Yuan Ming Lu, Ashvin Vishwanath, Steven R. White

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The anyonic excitations of a spin liquid can feature fractional quantum numbers under space group symmetries. Detecting these fractional quantum numbers, which are analogs of the fractional charge of Laughlin quasiparticles, may prove easier than the direct observation of anyonic braiding and statistics. Motivated by the recent numerical discovery of spin-liquid phases in the kagome Heisenberg antiferromagnet, we theoretically predict the pattern of space group symmetry fractionalization in the kagome lattice SO(3)-symmetric chiral spin liquid. We provide a method to detect these fractional quantum numbers in finite-size numerics which is simple to implement in the density matrix renormalization group. Applying these developments to the chiral spin liquid phase of a kagome Heisenberg model, we find perfect agreement between our theoretical prediction and numerical observations.

Original languageEnglish (US)
Article number197203
JournalPhysical review letters
Issue number19
StatePublished - May 11 2016

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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