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Related Experiment Videos

Destruction of bulk ordering by surface randomness.

D E Feldman1, V M Vinokur

  • 1Materials Science Division, Argonne National Laboratory, 9700 South Cass, Illinois 60439, USA.

Physical Review Letters
|December 18, 2002
PubMed
Summary

Surface disorder destroys long-range order in continuous symmetry systems, leading to quasi-long-range order. Even with strong disorder, the 3D XY model retains topological order, and domain wall roughness is determined.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Surface Science

Background:

  • Systems with continuous symmetry typically exhibit long-range order.
  • Surface effects can significantly alter bulk properties.

Purpose of the Study:

  • To investigate the impact of surface disorder on continuous symmetry systems.
  • To determine the emergence of order and topological properties under surface randomness.
  • To quantify domain wall roughness in disordered systems.

Main Methods:

  • Exact calculation of correlation functions using the functional renormalization group.
  • Analysis of two- and three-dimensional XY models with surface randomness.

Main Results:

  • Arbitrarily weak surface disorder destroys bulk long-range order, resulting in quasi-long-range order.
  • The three-dimensional XY model maintains topological order even under strong surface disorder.
  • The roughness of domain walls in the presence of surface disorder was determined.

Conclusions:

  • Surface disorder fundamentally alters the ordering behavior of continuous symmetry systems.
  • Topological order can persist in three-dimensional systems despite significant surface disorder.
  • Understanding domain wall dynamics is crucial for characterizing disordered systems.

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