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Crystal Field Theory
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Interplay between spin-glass clusters and geometrical frustration.

F M Zimmer1, C F Silva, S G Magalhaes

  • 1Departamento de Fisica, Universidade Federal de Santa Maria, 97105-900 Santa Maria, Rio Grande do Sul, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 30, 2014
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Summary

This study analyzes spin-glass (SG) order in frustrated systems using a cluster model. Small clusters in frustrated antiferromagnetic systems can stabilize SG order even with weak disorder.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Geometrically frustrated systems often exhibit complex magnetic phases.
  • Spin-glass (SG) order is a key phenomenon in disordered magnetic materials.

Purpose of the Study:

  • To analyze the presence and stability of spin-glass order in highly geometrically frustrated systems.
  • To investigate the influence of intrinsic frustration and disorder on SG phase transitions.

Main Methods:

  • A cluster spin-glass model with infinite-range disordered interactions and intracluster J(1)-J(2) couplings was developed.
  • The one-step replica symmetry breaking framework was employed for exact solution of a one-cluster problem.

Main Results:

  • Phase diagrams reveal a paramagnetic-SG phase transition at T(f) for high disorder (J).
  • SG order is absent in antiferromagnetic clusters without intrinsic frustration at low disorder.
  • SG order emerges in the presence of intracluster frustration, even with weak disorder.

Conclusions:

  • Intracluster frustration plays a crucial role in stabilizing spin-glass order.
  • Small clusters within geometrically frustrated antiferromagnetic systems can promote SG order under weak disorder conditions.