title: Space Group Symmetry Fractionalization in a Chiral Kagome Heisenberg Antiferromagnet.
abstract: 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.
authors.affiliation: Station Q, Microsoft Research, Santa Barbara, California 93106-6105, USA.
authors.forename: Michael P
authors.initials: MP
authors.lastname: Zaletel
authors.affiliation: Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697, USA.
authors.forename: Zhenyue
authors.initials: Z
authors.lastname: Zhu
authors.affiliation: Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA.
authors.forename: Yuan-Ming
authors.initials: YM
authors.lastname: Lu
authors.affiliation: Department of Physics, University of California, Berkeley, California 94720, USA.
authors.forename: Ashvin
authors.initials: A
authors.lastname: Vishwanath
authors.affiliation: Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697, USA.
authors.forename: Steven R
authors.initials: SR
authors.lastname: White