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Uniformly frustrated XY model without a vortex-pattern ordering.

S E Korshunov1

  • 1L. D. Landau Institute for Theoretical Physics, Kosygina 2, Moscow 119334, Russia.

Physical Review Letters
|March 24, 2005
PubMed
Summary

The XY model on a dice lattice exhibits stable ground states, even at zero temperature. Its finite helicity modulus at low temperatures relates to half-vortex pair dissociation.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics

Background:

  • The XY model is a fundamental model in statistical mechanics describing systems with continuous symmetry.
  • Frustration in magnetic systems arises when competing interactions prevent all pairs of spins from simultaneously minimizing their energy.

Purpose of the Study:

  • To investigate the ground state properties of the uniformly frustrated XY model with f=1/3 on a dice lattice.
  • To understand the low-temperature behavior and phase transitions in this specific model system.

Main Methods:

  • Analysis of the uniformly frustrated XY model with f=1/3.
  • Investigation on a dice lattice structure.
  • Examination of ground state degeneracy and free energy fluctuations.
  • Characterization of the helicity modulus and vortex pair dissociation.

Main Results:

  • The model exhibits accidental degeneracy of its ground states, robust down to zero temperature.
  • Fluctuations do not stabilize a particular vortex pattern, even at absolute zero.
  • A finite helicity modulus is observed at low temperatures.
  • The vanishing of the helicity modulus at a finite temperature is linked to the dissociation of half-vortex pairs.

Conclusions:

  • The uniformly frustrated XY model on a dice lattice displays unique ground state stability due to accidental degeneracy.
  • Low-temperature properties are governed by a finite helicity modulus, indicating a distinct phase.
  • The dissociation of half-vortex pairs marks a significant phase transition at finite temperatures.

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