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New ordered phase in geometrically frustrated generalized XY model.

M Lach1, M Žukovič1

  • 1Institute of Physics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 041 54 Košice, Slovakia.

Physical Review. E
|October 20, 2020
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Summary
This summary is machine-generated.

We studied a generalized XY model with antiferromagnetic (AFM) and antinematic (AN3) couplings. A new complex canted antiferromagnetic (CAFM) phase emerges due to competing interactions, influencing critical properties.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Geometrically frustrated models exhibit complex phases.
  • XY model is a fundamental system in statistical mechanics.
  • Antiferromagnetic and antinematic couplings influence magnetic and nematic ordering.

Purpose of the Study:

  • Investigate critical properties of a generalized XY model.
  • Map the phase diagram with competing AFM and AN3 interactions.
  • Characterize novel phases and their transitions.

Main Methods:

  • Monte Carlo simulations were employed.
  • Analysis of quasi-long-range order (QLRO) and true long-range order (LRO).
  • Universality class determination for phase transitions.

Main Results:

  • A phase diagram with three QLRO phases was identified: AFM, AN3, and a new CAFM phase.
  • The CAFM phase emerges from competition between AFM and AN3 couplings.
  • AFM-CAFM and AN3-CAFM transitions belong to weak Ising and weak three-state Potts universality classes, respectively.

Conclusions:

  • The generalized XY model exhibits richer phase behavior than models with AN2 coupling.
  • Chirality order vanishes at second-order phase transitions with non-Ising exponents.
  • Critical temperatures for chirality vanish are slightly above magnetic/nematic transitions.