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Phase transitions and multicritical behavior in the Ising model with dipolar interactions.

M A Bab1, C M Horowitz1, M L Rubio Puzzo1

  • 1Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, CONICET, Facultad de Ciencias Exactas Universidad Nacional de La Plata, Sucursal 4, CC 16(1900) La Plata, Argentina.

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This study investigates phase transitions in the ferromagnetic Ising model. Results reveal continuous transitions for stripe-ordered and tetragonal liquid phases up to a critical ratio, suggesting a tricritical point and deviations from standard Ising universality.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Phase Transitions

Background:

  • The ferromagnetic Ising model with dipole interactions exhibits complex phase diagrams.
  • Understanding the nature of phase transitions is crucial for predicting material properties.

Purpose of the Study:

  • To determine the nature of phase transitions between stripe-ordered (h_n) and tetragonal liquid (TL) phases.
  • To investigate the influence of the ratio between ferromagnetic exchange and dipolar constants (δ) on these transitions.

Main Methods:

  • Extensive Monte Carlo simulations were employed.
  • Short-time dynamic behavior of observables was studied for various δ values.

Main Results:

  • The h_1-TL phase transition is continuous up to δ=1.2585.
  • The h_2-TL transition shows weak first-order character for 1.2585≤δ≤1.36, becoming continuous for 1.37≤δ≤1.9.
  • A tricritical point is suggested near δ=1.37.
  • Critical exponents depend on δ and do not belong to the Ising universality class.
  • At δ=1.2585, the h_1-TL critical phase coexists with the h_2 phase.

Conclusions:

  • The phase transition behavior is complex and dependent on the δ ratio.
  • The system deviates from the standard Ising universality class.
  • A tricritical point exists, influencing the transition dynamics.