1. Department of Physics, Fudan University, Shanghai 200433, China
Topological quantum phase transition in the extended Kitaev spin model
Shi Xiao-feng
Department of Physics, Fudan University, Shanghai , China
Conclusion
(1), From the ground-state energy, we show that this model displays a continuous quantum phase transition on the critical lines separating the Abelian and non-Abelian phases, where the third derivative of the ground-state energy is discontinuous.
(2), we show that the discontinuity of the second derivative of the bipartite entanglement is related to the discontinuity of the third derivative of the ground-state energy.
[1] A. Kitaev, Ann. Phys. (N. Y.) 321, 2 (2006).
[2] C. W. Zhang, et.al., Proc. Natl. Acad. Sci. U. S. A. 104, (2007).
[3] L. A. Wu, M. S. Sarandy, and D. A. Lidar, Phys. Rev. Lett. 93, (2004).
[4] D. H. Lee, G. M. Zhang, and T. Xiang, Phys. Rev. Lett. 99, (2007); X. Y. Feng, G. M. Zhang, ang T. Xiang, Phys. Rev. Lett. 99, (2007).
[5] X. F. Shi, Y. Yu, J. Q. You, and F. Nori, Phys. Rev. B 79, (2009).