Fidelity susceptibility in the two-dimensional transverse-field Ising and XXZ models.
We study the fidelity susceptibility in the two-dimensional (2D) transverse-field Ising model and the 2D XXZ model numerically. It is found that in both models, the fidelity susceptibility as a function of the driving parameter diverges at the critical points. The validity of the fidelity susceptibility to signal for the quantum phase transition is thus verified in these two models. We also compare the scaling behavior of the extremum of the fidelity susceptibility to that of the second derivative of the ground-state energy. From those results, the theoretical argument that fidelity susceptibility is a more sensitive seeker for a second-order quantum phase transition is also testified in the two models.
Yu
Wing-Chi
WC
Department of Physics and ITP, The Chinese University of Hong Kong, Shatin, Hong Kong, China.
Kwok
Ho-Man
HM
Cao
Junpeng
J
Gu
Shi-Jian
SJ