Kagome model for a Z2 quantum spin liquid

Matthew S. Block; Jonathan D'Emidio; Ribhu K. Kaul

doi:10.1103/PhysRevB.101.020402

Kagome model for a Z2 quantum spin liquid

Matthew S. Block, Jonathan D'Emidio, Ribhu K. Kaul

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We present a study of a simple model antiferromagnet consisting of a sum of nearest-neighbor SO(N) singlet projectors on the kagome lattice. Our model shares some features with the popular S=1/2 kagome antiferromagnet but is specifically designed to be free of the sign problem of quantum Monte Carlo. In our numerical analysis, we find as a function of N a quadrupolar magnetic state and a wide range of a quantum spin liquid. A solvable large-N generalization suggests that the quantum spin liquid in our original model is a gapped Z2 topological phase. Supporting this assertion, a numerical study of the entanglement entropy in the sign free model shows a quantized topological contribution.

Original language	English
Article number	020402
Journal	Physical Review B
Volume	101
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevB.101.020402
State	Published - Jan 9 2020

Bibliographical note

Publisher Copyright:
© 2020 American Physical Society.

Funding

Acknowledgments. The computational work presented here was carried out using the XSEDE awards TG-DMR130040 and TG-DMR140061. Financial support was received through NSF DMR-1611161.

Funders	Funder number
National Science Foundation (NSF)	DMR-1611161

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Access to Document

10.1103/PhysRevB.101.020402

Cite this

@article{417bc183621e4f6a99870dd7dfc3b755,

title = "Kagome model for a Z2 quantum spin liquid",

abstract = "We present a study of a simple model antiferromagnet consisting of a sum of nearest-neighbor SO(N) singlet projectors on the kagome lattice. Our model shares some features with the popular S=1/2 kagome antiferromagnet but is specifically designed to be free of the sign problem of quantum Monte Carlo. In our numerical analysis, we find as a function of N a quadrupolar magnetic state and a wide range of a quantum spin liquid. A solvable large-N generalization suggests that the quantum spin liquid in our original model is a gapped Z2 topological phase. Supporting this assertion, a numerical study of the entanglement entropy in the sign free model shows a quantized topological contribution.",

author = "Block, {Matthew S.} and Jonathan D'Emidio and Kaul, {Ribhu K.}",

note = "Publisher Copyright: {\textcopyright} 2020 American Physical Society.",

year = "2020",

month = jan,

day = "9",

doi = "10.1103/PhysRevB.101.020402",

language = "English",

volume = "101",

number = "2",

}

TY - JOUR

T1 - Kagome model for a Z2 quantum spin liquid

AU - Block, Matthew S.

AU - D'Emidio, Jonathan

AU - Kaul, Ribhu K.

PY - 2020/1/9

Y1 - 2020/1/9

N2 - We present a study of a simple model antiferromagnet consisting of a sum of nearest-neighbor SO(N) singlet projectors on the kagome lattice. Our model shares some features with the popular S=1/2 kagome antiferromagnet but is specifically designed to be free of the sign problem of quantum Monte Carlo. In our numerical analysis, we find as a function of N a quadrupolar magnetic state and a wide range of a quantum spin liquid. A solvable large-N generalization suggests that the quantum spin liquid in our original model is a gapped Z2 topological phase. Supporting this assertion, a numerical study of the entanglement entropy in the sign free model shows a quantized topological contribution.

AB - We present a study of a simple model antiferromagnet consisting of a sum of nearest-neighbor SO(N) singlet projectors on the kagome lattice. Our model shares some features with the popular S=1/2 kagome antiferromagnet but is specifically designed to be free of the sign problem of quantum Monte Carlo. In our numerical analysis, we find as a function of N a quadrupolar magnetic state and a wide range of a quantum spin liquid. A solvable large-N generalization suggests that the quantum spin liquid in our original model is a gapped Z2 topological phase. Supporting this assertion, a numerical study of the entanglement entropy in the sign free model shows a quantized topological contribution.

UR - http://www.scopus.com/inward/record.url?scp=85078400178&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85078400178&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.101.020402

DO - 10.1103/PhysRevB.101.020402

M3 - Article

AN - SCOPUS:85078400178

SN - 2469-9950

VL - 101

JO - Physical Review B

JF - Physical Review B

IS - 2

M1 - 020402

ER -

Kagome model for a Z2 quantum spin liquid

Abstract

Bibliographical note

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this