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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Computational Physics

Background:

  • Previous studies on the zero-temperature random-field Ising model (RFIM) with site dilution on a triangular lattice reported vanishing criticality below one-third sublattice occupation.
  • This finding contrasted with exact solutions for dilute Bethe lattices, necessitating further investigation.

Purpose of the Study:

  • To re-examine the critical hysteresis in the RFIM on a dilute triangular lattice using an alternative numerical method.
  • To clarify the discrepancy in criticality behavior between dilute periodic and Bethe lattices.

Main Methods:

  • Numerical simulation of the zero-temperature random-field Ising model.
  • Site dilution applied to one sublattice of a two-dimensional triangular lattice.
  • Investigation using an alternate numerical approach to verify previous findings.

Main Results:

  • Critical hysteresis is found to be nearly zero if approximately less than two-thirds of the sublattice is occupied.
  • The observed behavior deviates significantly from earlier reports suggesting criticality vanishes below one-third occupation.
  • The results indicate a qualitative difference in hysteresis between dilute periodic and dilute Bethe lattices.

Conclusions:

  • Hysteresis in the RFIM on dilute triangular lattices exhibits distinct characteristics compared to dilute Bethe lattices.
  • The critical behavior is sensitive to lattice structure and dilution patterns.
  • Further research is needed to fully understand the underlying reasons for these differences.