Onset of incommensurability in quantum spin chains

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

In quantum spin chains, it has been observed that the incommensurability occurs near valence-bond-solid (VBS)-type solvable points, and the correlation length becomes shortest at VBS-type points. In addition, the correlation function decays purely exponentially at VBS-type points, in contrast with the two-dimensional (2D) Ornstein-Zernicke type behavior in other regions with an excitation gap. We propose a mechanism to explain the onset of the incommensurability and the shortest correlation length at VBS-like points. This theory can be applied to more general cases.

Original languageEnglish
Pages (from-to)476-478
Number of pages3
Journaljournal of the physical society of japan
Volume72
Issue number3
DOIs
Publication statusPublished - Mar 1 2003

Fingerprint

valence
decay
excitation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Onset of incommensurability in quantum spin chains. / Nomura, Kiyohide.

In: journal of the physical society of japan, Vol. 72, No. 3, 01.03.2003, p. 476-478.

Research output: Contribution to journalArticle

@article{6ce2ff4482d74432baad1f5b6ead6f38,
title = "Onset of incommensurability in quantum spin chains",
abstract = "In quantum spin chains, it has been observed that the incommensurability occurs near valence-bond-solid (VBS)-type solvable points, and the correlation length becomes shortest at VBS-type points. In addition, the correlation function decays purely exponentially at VBS-type points, in contrast with the two-dimensional (2D) Ornstein-Zernicke type behavior in other regions with an excitation gap. We propose a mechanism to explain the onset of the incommensurability and the shortest correlation length at VBS-like points. This theory can be applied to more general cases.",
author = "Kiyohide Nomura",
year = "2003",
month = "3",
day = "1",
doi = "10.1143/JPSJ.72.476",
language = "English",
volume = "72",
pages = "476--478",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "3",

}

TY - JOUR

T1 - Onset of incommensurability in quantum spin chains

AU - Nomura, Kiyohide

PY - 2003/3/1

Y1 - 2003/3/1

N2 - In quantum spin chains, it has been observed that the incommensurability occurs near valence-bond-solid (VBS)-type solvable points, and the correlation length becomes shortest at VBS-type points. In addition, the correlation function decays purely exponentially at VBS-type points, in contrast with the two-dimensional (2D) Ornstein-Zernicke type behavior in other regions with an excitation gap. We propose a mechanism to explain the onset of the incommensurability and the shortest correlation length at VBS-like points. This theory can be applied to more general cases.

AB - In quantum spin chains, it has been observed that the incommensurability occurs near valence-bond-solid (VBS)-type solvable points, and the correlation length becomes shortest at VBS-type points. In addition, the correlation function decays purely exponentially at VBS-type points, in contrast with the two-dimensional (2D) Ornstein-Zernicke type behavior in other regions with an excitation gap. We propose a mechanism to explain the onset of the incommensurability and the shortest correlation length at VBS-like points. This theory can be applied to more general cases.

UR - http://www.scopus.com/inward/record.url?scp=0038373931&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038373931&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.72.476

DO - 10.1143/JPSJ.72.476

M3 - Article

AN - SCOPUS:0038373931

VL - 72

SP - 476

EP - 478

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

ER -