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

Abstract

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.

4 pages, REVTeX, Figures are in eps-files

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Cited by in corpus (8)

• Simulations of pure and doped low-dimensional spin-1/2 gapped systems
• Doped coupled frustrated spin-1/2 chains with four-spin exchange
• Magnetic ordering in a doped frustrated spin-Peierls system
• The antiferromagnetic order in an F-AF random alternating quantum spin chain : (CH_3)_2 CHNH_3 Cu(Cl_x Br_{1-x})_3
• Magnetic Bose glass phases of coupled antiferromagnetic dimers with site dilution
• Influence of non-magnetic impurities on hole doped two-leg Cu-O Hubbard ladders
• Confinement and critical regime in doped frustrated quasi-one dimensional magnets
• Magnetic ordering in doped coupled frustrated quantum spin-1/2 chains with 4-spin exchange