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Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field XY model

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Abstract

The two-dimensional quantum XY model with a transverse magnetic field was investigated with the exact diagonalization method. Upon turning on the magnetic field h and the XY -plane anisotropy η, there appear a variety of phase boundaries, which meet at the multicritical point (h, η) = (2, 0). We devote ourselves to the Ising-universality branch, placing an emphasis on the multicritical behavior. As a probe to detect the underlying phase transitions, we adopt the fidelity susceptibility χF. The fidelity susceptibility does not rely on any presumptions as to the order parameter involved. We made a finite-size-scaling analysis of χF for η = 1 (Ising limit), where a number of preceding results are available. Thereby, similar analyses with η scaled were carried out around the multicritical point. We found that the χF data are described by the crossover scaling theory. A comparison with the preceding studies of the multicriticality is made.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, Okayama University, Okayama, 700-8530, Japan

    Yoshihiro Nishiyama

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  1. Yoshihiro Nishiyama
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Correspondence to Yoshihiro Nishiyama.

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Nishiyama, Y. Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field XY model. Eur. Phys. J. B 92, 167 (2019). https://doi.org/10.1140/epjb/e2019-100269-8

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  • DOI: https://doi.org/10.1140/epjb/e2019-100269-8

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