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arXiv:1305.3958 · Physica A Statistical Mechanics and its Applications

Critical behavior of the fidelity susceptibility for the d=2 transverse-field Ising model

Yoshihiro Nishiyama

Published May 25, 2013• 5 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2013.05.024

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We study critical behaviors of the reduced fidelity susceptibility for two neighboring sites in the one-dimensional transverse field Ising model. It is found that the divergent behaviors of the susceptibility take the form of square of logarithm, in contrast with the global ground-state fidelity susceptibility which is power divergence. In order to perform a scaling analysis, we take the square root of the susceptibility and determine the scaling exponent analytically and the result is further confirmed by numerical calculations.