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arXiv:cond-mat/0403520 · The European Physical Journal B

Exact solution and magnetic properties of an anisotropic spin ladder

Zu-Jian Ying, I. Roditi, Angela Foerster, Bin Chen

Published Sep 1, 2004• 4 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2004-00295-5

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Magnetic phase diagram of the spatially anisotropic spin-1/21/21/2 zigzag ladder
The effects of multispin interactions upon quantum spin ladders are investigated theoretically. A two-leg S=12S=\frac{1}{2}S=21​ quantum spin ladder is taken to have intrarung (inter-rung) quadratic (biquadratic) Heisenberg exchange-type interactions and is placed in a uniform magnetic field. Due to the commutability properties of the Hamiltonian, the magnetic canonical partition function of the model is exactly calculable by a method of rung transfer matrix. Exact solutions are then derived for thermodynamic quantities like free and internal energies, magnetization, and magnetic susceptibilities (initial and nonlinear). The zero-temperature results comprise exact solutions in the complete interaction parameter space for the ground-state energy and degeneracy, zero-field spin gap, loci of quantum phase transitions, and the critical magnetic field.
To investigate the magnetization and the effect of anisotropy on thermal properties in external magnetic field,the transfer matrix method is used to calculate exactly the solution to the magnetization in Ising spin ladder with S=1 and S=3/2 mixed together.It's found that if the closest neighboring interaction is ferromagnetic and the next closest interaction between two spin chains is antiferromagnetic,the plateaus of the magnetization m=1/4 and m=3/4 appear in the system,which are consistent with the positions where the magnetization plateaus are possibly appearing in quantum model.Novel dual-peak is observed on the curves of specific heat and susceptibility.