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

Details Localization length of a soliton from a non-magnetic impurity in a general double-spin-chain model Localization length of a soliton from a non-magnetic impurity in a general double-spin-chain model

1998-09-22

arxiv.org/abs/cond-mat/9809292v1

Physics

Condensed Matter

4 pages, REVTeX, Figures are in eps-files

Scientific paper

10.1103/PhysRevB.59.R6589

A localization length of a free-spin soliton from a non-magnetic 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 $(\xi)$ is found to obey a power law of the dimerization $(J_2-J_3)$ with an exponent -1/3; $\xi\sim (J_2-J_3)^{-1/3}$. This explains why NaV_2O_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. Contrary, there is a possibility of the order when the gap is mainly due to frustration.

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