A systematic analysis is performed for quantum phase transitions in a bond-alternative one-dimensional Ising model with a Dzyaloshinskii-Moriya (DM) interaction by using the fidelity of ground state wave functions based on the infinite matrix product states algorithm. For an antiferromagnetic phase, the fidelity per lattice site exhibits a bifurcation, which shows spontaneous symmetry breaking in the system. A critical DM interaction is inversely proportional to an alternating exchange coupling strength for a quantum phase transition. Further, a finite-entanglement scaling of von Neumann entropy with respect to truncation dimensions gives a central charge c = 0.5 at the critical point.
@article{arxiv.1105.0533,
title = {Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii-Moriya interactions},
author = {Bo Li and Sam Young Cho and Hong-Lei Wang and Bing-Quan Hu},
journal= {arXiv preprint arXiv:1105.0533},
year = {2011}
}