Condensed Matter Physics, 2009, vol. 12, No. 3, pp. 343-351
Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds
(Department of Theoretical Physics, Yerevan State University, Al. Manoogian 1, 0025 Yerevan, Armenia;
Yerevan Physics Institute, Alikhanian br. 2, 0036, Yerevan, Armenia)
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 state properties are also investigated, the corresponding ground state phase diagram is presented.
sawtooth chain, exact solutions, magnetization plateaus
Comments: Figs. 8, Refs. 26, Tabs. 0