Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice
Name
PhysRevB.91.100401.pdf
Size
132.1 KB
Format
Adobe PDF
Checksum (MD5)
7c12e4f9a3efebacde803ddf6de9935c
Author(s)
Qi, Yang
Fu, Liang
Date Issued
March 2015
Journal
Physical Review B
Publisher
American Physical Society
Citation
Qi, Yang, and Liang Fu. "Detecting crystal symmetry fractionalization from the ground state: Application to Z[subscript 2] spin liquids on the kagome lattice." Phys. Rev. B 91, 100401 (March 2015). © 2015 American Physical Society
Version
Final published version
Abstract
In quantum spin liquid states, the fractionalized spinon excitations can carry fractional crystal symmetry quantum numbers, and this symmetry fractionalization distinguishes different symmetry-enriched spin liquid states with identical intrinsic topological order. In this work we propose a simple way to detect signatures of such crystal symmetry fractionalizations from the crystal symmetry representations of the ground state wave function. We demonstrate our method on projected Z[subscript 2] spin liquid wave functions on the kagome lattice, and show that it can be used to classify generic wave functions. Particularly our method can be used to distinguish several proposed candidates of Z[subscript 2] spin liquid states on the kagome lattice.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.91.100401
