Magnetic Susceptibility in the Impure One-Dimensional Heisenberg Antiferromagnet with Spin-1/2

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By using the pair-product approximation, parallel and perpendicular susceptibilities in the impure one-dimensional Heisenberg antiferromagnet with S=1/2 and the anisotropic nearest neighbor exchange interactions are calculated in the quenched limit of both site and bond models. For various sets of the exchange integrals, we calculate numerically the susceptibilities as functions of temperature and obtain the following results: (i) In the site model, when the concentration of impurity spins is low, we can neglect the impurity-impurity exchange interactions. When the host-impurity exchange interactions are Ising-like ferromagnetic, both perpendicular and parallel susceptibilities diverge at low temperatures. When the host-impurity exchange interactions are XY-like ferromagnetic, the perpendicular susceptibility diverges at low temperatures. (ii) In the bond model, when the impurity bonds are Ising-like ferromagnetic, both perpendicular and parallel susceptibilities diverge at low temperatures. When the impurity bonds are XY-like ferromagnetic, the perpendicular susceptibility diverges at low temperatures.
理論物理学刊行会の論文
1980-01-25