Hidden Z2xZ2 symmetry breaking in Haldane-gap antiferromagnets

Thomas G Kennedy, Hal Tasaki

Research output: Contribution to journalArticle

281 Citations (Scopus)

Abstract

We show that the Haldane phase of the S=1 antiferromagnetic chain is closely related to the breaking of a hidden Z2×Z2 symmetry. When the chain is in the Haldane phase, this Z2×Z2 symmetry is fully broken, but when the chain is in a massive phase other than the Haldane phase, e.g., the Ising phase or the dimerized phase, this symmetry is broken only partially or not at all. The hidden Z2×Z2 symmetry is revealed by introducing a nonlocal unitary transformation of the chain. This unitary transformation also leads to a simple variational calculation which qualitatively reproduces the phase diagram of the S=1 chain.

Original languageEnglish (US)
Pages (from-to)304-307
Number of pages4
JournalPhysical Review B
Volume45
Issue number1
DOIs
StatePublished - 1992

Fingerprint

Phase diagrams
broken symmetry
symmetry
phase diagrams

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Hidden Z2xZ2 symmetry breaking in Haldane-gap antiferromagnets. / Kennedy, Thomas G; Tasaki, Hal.

In: Physical Review B, Vol. 45, No. 1, 1992, p. 304-307.

Research output: Contribution to journalArticle

@article{55f42da54aaa4d908271502d7034a1ce,
title = "Hidden Z2xZ2 symmetry breaking in Haldane-gap antiferromagnets",
abstract = "We show that the Haldane phase of the S=1 antiferromagnetic chain is closely related to the breaking of a hidden Z2×Z2 symmetry. When the chain is in the Haldane phase, this Z2×Z2 symmetry is fully broken, but when the chain is in a massive phase other than the Haldane phase, e.g., the Ising phase or the dimerized phase, this symmetry is broken only partially or not at all. The hidden Z2×Z2 symmetry is revealed by introducing a nonlocal unitary transformation of the chain. This unitary transformation also leads to a simple variational calculation which qualitatively reproduces the phase diagram of the S=1 chain.",
author = "Kennedy, {Thomas G} and Hal Tasaki",
year = "1992",
doi = "10.1103/PhysRevB.45.304",
language = "English (US)",
volume = "45",
pages = "304--307",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "1",

}

TY - JOUR

T1 - Hidden Z2xZ2 symmetry breaking in Haldane-gap antiferromagnets

AU - Kennedy, Thomas G

AU - Tasaki, Hal

PY - 1992

Y1 - 1992

N2 - We show that the Haldane phase of the S=1 antiferromagnetic chain is closely related to the breaking of a hidden Z2×Z2 symmetry. When the chain is in the Haldane phase, this Z2×Z2 symmetry is fully broken, but when the chain is in a massive phase other than the Haldane phase, e.g., the Ising phase or the dimerized phase, this symmetry is broken only partially or not at all. The hidden Z2×Z2 symmetry is revealed by introducing a nonlocal unitary transformation of the chain. This unitary transformation also leads to a simple variational calculation which qualitatively reproduces the phase diagram of the S=1 chain.

AB - We show that the Haldane phase of the S=1 antiferromagnetic chain is closely related to the breaking of a hidden Z2×Z2 symmetry. When the chain is in the Haldane phase, this Z2×Z2 symmetry is fully broken, but when the chain is in a massive phase other than the Haldane phase, e.g., the Ising phase or the dimerized phase, this symmetry is broken only partially or not at all. The hidden Z2×Z2 symmetry is revealed by introducing a nonlocal unitary transformation of the chain. This unitary transformation also leads to a simple variational calculation which qualitatively reproduces the phase diagram of the S=1 chain.

UR - http://www.scopus.com/inward/record.url?scp=0000147938&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000147938&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.45.304

DO - 10.1103/PhysRevB.45.304

M3 - Article

AN - SCOPUS:0000147938

VL - 45

SP - 304

EP - 307

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 1

ER -