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Specific heat of classical disordered elastic systems.

Gregory Schehr1, Thierry Giamarchi, Pierre Le Doussal

  • 1CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 Rue Lhomond, 75231 Paris, France.

Physical Review Letters
|October 4, 2003
PubMed
Summary

We investigated the thermodynamics of disordered elastic systems, specifically vortex lattices. Our findings show that disorder significantly impacts specific heat, being positive, linear at low temperatures, and exhibiting a maximum.

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Area of Science:

  • Condensed matter physics
  • Thermodynamics
  • Disordered systems

Background:

  • Vortex lattices in magnetic materials exhibit complex phases, such as the Bragg glass phase, influenced by quenched disorder.
  • Understanding the thermodynamic properties of these systems is crucial for characterizing their behavior under various conditions.

Purpose of the Study:

  • To compute the specific heat of pinned vortices in the Bragg glass phase of disordered elastic systems.
  • To quantify the contribution of disorder to the specific heat and compare it with other thermodynamic contributions.

Main Methods:

  • Application of the replica variational method to calculate thermodynamic properties.
  • Analysis within the classical limit for pinned vortices.

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Main Results:

  • The contribution of disorder to the specific heat is found to be positive and linear at low temperatures.
  • A characteristic maximum is observed in the disorder contribution to the specific heat.
  • Disorder effects are significant compared to contributions from core electrons, mean field, and nonlinear elasticity.
  • Droplet contributions are found to be subdominant in three-dimensional systems with weak disorder.

Conclusions:

  • Disorder plays a critical and quantifiable role in the thermodynamics of vortex lattices in the Bragg glass phase.
  • The replica variational method provides a robust framework for analyzing these complex systems.
  • The specific heat is a sensitive probe of disorder effects in elastic systems.