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 language | English |
|---|---|
| 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
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Localization length of a soliton from a nonmagnetic impurity in a general double-spin-chain model. / Nakamura, Tota.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 59, No. 10, 1999.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.
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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 -