Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-05-29
Condensed Matter Physics, 12, pp. 343-351 (2009)
Physics
Condensed Matter
Statistical Mechanics
9 pages, 8 figures
Scientific paper
The sawtooth chain with pairs of $S=1/2$ spins interacting with $XXZ$-interactions placed on each second tooth is considered. All other interaction bonds are taken to be of Ising type. Exact statistical mechanical solution of the model within the direct transfer-matrix technique is obtained. The solution allows one to obtain exact analytic expressions for all thermodynamic functions of the model. Ground stated properties are also investigated, the corresponding ground state phase diagram is presented.
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