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Spin cones in random-field XY models.

Rajiv G Pereira1, Ananya Janardhanan1, Mustansir Barma1

  • 1<a href="https://ror.org/01dagn361">TIFR Centre for Interdisciplinary Sciences</a>, Tata Institute of Fundamental Research, Gopanpally, Hyderabad 500046, India.

Physical Review. E
|August 20, 2024
PubMed
Summary
This summary is machine-generated.

We studied spin arrangements in the XY model with random fields. Spins form a cone, with orientation dependent on disorder but angle independent, revealing phase transitions and distinct timescales.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Disordered systems

Background:

  • The XY model is a fundamental model in statistical mechanics.
  • Understanding spin arrangements in disordered systems is crucial for materials science.
  • Quenched random fields introduce complexity in magnetic systems.

Purpose of the Study:

  • To determine the ground state spin arrangement in the XY model with quenched, random fields.
  • To investigate the effects of random magnetic and crystal fields on spin orientation.
  • To analyze the impact of disorder on symmetry breaking and phase transitions.

Main Methods:

  • Solving coupled, nonlinear equations using perturbation theory.
  • Employing exact numerical continuation methods.
  • Conducting Monte Carlo simulations at finite low temperatures.

Main Results:

  • Spins align within a cone for weak fields, with orientation dependent on disorder realization.
  • Cone angle is independent of disorder realization but changes with field ratio.
  • Random magnetic fields lead to a first-order phase transition; crystal fields do not.

Conclusions:

  • Disorder in the XY model leads to a cone of spin orientations with specific characteristics.
  • The type of random field dictates the presence or absence of a phase transition.
  • Spin cone formation and alignment occur on different timescales at low temperatures.