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arXiv:2005.10373 · Physica A Statistical Mechanics and its Applications

Imaginary-field-driven phase transition for the 2D Ising antiferromagnet: A fidelity-susceptibility approach

Yoshihiro Nishiyama

Published May 21, 2020• 6 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2020.124731

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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.