Table of Contents
ISRN Condensed Matter Physics
Volume 2011 (2011), Article ID 980192, 6 pages
Research Article

Heisenberg Model with Added Dzyaloshinskii-Moria Interaction

1Department of Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2Department of Physics, Alzahra University, P.O. Box 19585-466, Tehran, Iran

Received 25 October 2011; Accepted 30 November 2011

Academic Editors: C. Andreani and W. Selke

Copyright © 2011 M. R. Soltani et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We have considered the 1D spin-(1/2) Heisenberg model with added Dzyaloshinskii-Moriya interaction. The effect of a uniform magnetic field on the ground state phase diagram of the model is studied. We have mapped the model to an effective model which is known as the 1D XXZ in both uniform and staggered magnetic fields. By selecting a block of two or three spins, we have solved the Hamiltonian exactly. Our results show that the quantum phase transitions can be obtained from the block of pair or three spins.