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

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  • Yoshihiro Nishiyama

    (Faculty of Science, Okayama University)

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. Graphical abstract

Suggested Citation

  • Yoshihiro Nishiyama, 2019. "Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field XY model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(8), pages 1-7, August.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:8:d:10.1140_epjb_e2019-100269-8
    DOI: 10.1140/epjb/e2019-100269-8
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    Statistical and Nonlinear Physics;

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