Detecting crystal symmetry fractionalization from the ground state: Application to Z2 spin liquids on the kagome lattice

Qi, Yang; Fu, Liang

doi:10.1103/physrevb.91.100401

Title: Detecting crystal symmetry fractionalization from the ground state: Application to $Z_{2}$ spin liquids on the kagome lattice

Journal Article · Mon Mar 02 00:00:00 EST 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/physrevb.91.100401· OSTI ID:1505790

Qi, Yang ^[1]; Fu, Liang ^[2]

Tsinghua Univ., Beijing (China); China and Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0010526; 11104154

OSTI ID:: 1505790

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 91, Issue 10; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 34 works

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