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Longitudinal-field fidelity susceptibility analysis of the J1-J2 transverse-field Ising model around J2/J1≈0.5

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  • Nishiyama, Yoshihiro

Abstract

The square-lattice J1-J2 transverse-field (TF) Ising model was investigated with the exact diagonalization (ED) method. In order to analyze the TF-driven phase transition, we applied the longitudinal-field fidelity susceptibility χF(h), which is readily evaluated via the ED scheme. Here, the longitudinal field couples with the absolute value of the magnetic moment |M| rather than the raw M so that the remedied fidelity susceptibility exhibits a peak around the critical point; note that the spontaneous magnetization does not appear for the finite-size systems. As a preliminary survey, the modified fidelity susceptibility χF(h) is applied to the analysis of criticality for J2=0, where a number of preceding results are available. Thereby, properly scaling the distance from the multi-criticality, η=0.5−J2, the χF(h) data were cast into the crossover-scaling formula, and the multi-critical exponent for χF(h) is estimated. The result is cross-checked by the numerically evaluated β-function behavior.

Suggested Citation

  • Nishiyama, Yoshihiro, 2026. "Longitudinal-field fidelity susceptibility analysis of the J1-J2 transverse-field Ising model around J2/J1≈0.5," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 684(C).
    • Handle: RePEc:eee:phsmap:v:684:y:2026:i:c:s0378437125008970
    DOI: 10.1016/j.physa.2025.131245
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