Title: Detecting crystal symmetry fractionalization from the ground state: Application to ${\mathbb{Z}}_2$ spin liquids on the kagome lattice

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 ${\mathbb{Z}}_2$ 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 ${\mathbb{Z}}_2$ spin liquid states on the kagome lattice.

Authors:

Qi, Yang ^[1]; Fu, Liang ^[2]

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+ Show Author Affiliations

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:

Mon Mar 02 00:00:00 EST 2015

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

OSTI Identifier:

1505790

Grant/Contract Number:  

SC0010526; 11104154

Resource 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)

Country of Publication:

United States

Language:

English

Subject:

36 MATERIALS SCIENCE