Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii-Moriya interactions

Details Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii-Moriya interactions Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii-Moriya interactions

2011-05-03

arxiv.org/abs/1105.0533v2

J. Phys. A: Math. Theor. 44 (2011) 392002

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 4 figures

Scientific paper

10.1088/1751-8113/44/39/392002

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.

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