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Title: Detecting crystal symmetry fractionalization from the ground state: Application to Z 2 spin liquids on the kagome lattice

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 2 spin liquid wave functions on the kagome lattice, and show that it can be used to classify generic wave functions. Furthermore our method can be used to distinguish several proposed candidates of Z 2 spin liquid states on the kagome lattice.
Authors:
 [1] ;  [2]
  1. Tsinghua Univ., Beijing (China); China and Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Grant/Contract Number:
SC0010526; 11104154
Type:
Accepted Manuscript
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 10; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society (APS)
Research Org:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE
OSTI Identifier:
1505790

Qi, Yang, and Fu, Liang. Detecting crystal symmetry fractionalization from the ground state: Application to Z2 spin liquids on the kagome lattice. United States: N. p., Web. doi:10.1103/physrevb.91.100401.
Qi, Yang, & Fu, Liang. Detecting crystal symmetry fractionalization from the ground state: Application to Z2 spin liquids on the kagome lattice. United States. doi:10.1103/physrevb.91.100401.
Qi, Yang, and Fu, Liang. 2015. "Detecting crystal symmetry fractionalization from the ground state: Application to Z2 spin liquids on the kagome lattice". United States. doi:10.1103/physrevb.91.100401. https://www.osti.gov/servlets/purl/1505790.
@article{osti_1505790,
title = {Detecting crystal symmetry fractionalization from the ground state: Application to Z2 spin liquids on the kagome lattice},
author = {Qi, Yang and Fu, Liang},
abstractNote = {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 Z2 spin liquid wave functions on the kagome lattice, and show that it can be used to classify generic wave functions. Furthermore our method can be used to distinguish several proposed candidates of Z2 spin liquid states on the kagome lattice.},
doi = {10.1103/physrevb.91.100401},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 10,
volume = 91,
place = {United States},
year = {2015},
month = {3}
}