Localization length of a soliton from a nonmagnetic impurity in a general double-spin-chain model

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Localization length of a free-spin soliton from a nonmagnetic impurity is deduced in a general double-spin-chain model (J0-J1-J2-J3 model). We have solved a variational problem which employs the nearest-neighbor singlet-dimer basis. The wave function of a soliton is expressed by the Airy function, and the localization length (ξ) is found to obey a power law of the dimerization (J2-J3) with an exponent -1/3; ξ∼(J2 -J3)-1/3. This explains why NaV2O5 does not show the antiferromagnetic order, while CuGeO3 does by impurity doping. When the gap exists by the bond dimerization, a soliton is localized and no order is expected. On the contrary, there is a possibility of the order when the gap is mainly due to frustration.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume59
Issue number10
Publication statusPublished - 1999
Externally publishedYes

Fingerprint

Solitons
Dimerization
solitary waves
Impurities
dimerization
impurities
Airy function
frustration
Wave functions
Dimers
dimers
Doping (additives)
wave functions
exponents

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

@article{01c614338b654e64a634ec8590309e28,
title = "Localization length of a soliton from a nonmagnetic impurity in a general double-spin-chain model",
abstract = "Localization length of a free-spin soliton from a nonmagnetic impurity is deduced in a general double-spin-chain model (J0-J1-J2-J3 model). We have solved a variational problem which employs the nearest-neighbor singlet-dimer basis. The wave function of a soliton is expressed by the Airy function, and the localization length (ξ) is found to obey a power law of the dimerization (J2-J3) with an exponent -1/3; ξ∼(J2 -J3)-1/3. This explains why NaV2O5 does not show the antiferromagnetic order, while CuGeO3 does by impurity doping. When the gap exists by the bond dimerization, a soliton is localized and no order is expected. On the contrary, there is a possibility of the order when the gap is mainly due to frustration.",
author = "Tota Nakamura",
year = "1999",
language = "English",
volume = "59",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "10",

}

TY - JOUR

T1 - Localization length of a soliton from a nonmagnetic impurity in a general double-spin-chain model

AU - Nakamura, Tota

PY - 1999

Y1 - 1999

N2 - Localization length of a free-spin soliton from a nonmagnetic impurity is deduced in a general double-spin-chain model (J0-J1-J2-J3 model). We have solved a variational problem which employs the nearest-neighbor singlet-dimer basis. The wave function of a soliton is expressed by the Airy function, and the localization length (ξ) is found to obey a power law of the dimerization (J2-J3) with an exponent -1/3; ξ∼(J2 -J3)-1/3. This explains why NaV2O5 does not show the antiferromagnetic order, while CuGeO3 does by impurity doping. When the gap exists by the bond dimerization, a soliton is localized and no order is expected. On the contrary, there is a possibility of the order when the gap is mainly due to frustration.

AB - Localization length of a free-spin soliton from a nonmagnetic impurity is deduced in a general double-spin-chain model (J0-J1-J2-J3 model). We have solved a variational problem which employs the nearest-neighbor singlet-dimer basis. The wave function of a soliton is expressed by the Airy function, and the localization length (ξ) is found to obey a power law of the dimerization (J2-J3) with an exponent -1/3; ξ∼(J2 -J3)-1/3. This explains why NaV2O5 does not show the antiferromagnetic order, while CuGeO3 does by impurity doping. When the gap exists by the bond dimerization, a soliton is localized and no order is expected. On the contrary, there is a possibility of the order when the gap is mainly due to frustration.

UR - http://www.scopus.com/inward/record.url?scp=0013257243&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013257243&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0013257243

VL - 59

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 10

ER -