### Abstract

Localization length of a free-spin soliton from a nonmagnetic impurity is deduced in a general double-spin-chain model (J_{0}-J_{1}-J_{2}-J_{3} 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 (J_{2}-J_{3}) with an exponent -1/3; ξ∼(J_{2} -J_{3})^{-1/3}. This explains why NaV_{2}O_{5} does not show the antiferromagnetic order, while CuGeO_{3} 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 language | English |
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Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 59 |

Issue number | 10 |

Publication status | Published - 1999 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

**Localization length of a soliton from a nonmagnetic impurity in a general double-spin-chain model.** / Nakamura, Tota.

Research output: Contribution to journal › Article

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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 -