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Related Experiment Videos

The crystal problem for polytypes.

D P Varn1, G S Canright

  • 1Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996-1200, USA.

Acta Crystallographica. Section A, Foundations of Crystallography
|January 11, 2000
PubMed
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Certain discrete classical problems in one-dimensional statistical mechanics may lack periodic ground states. This study applies these findings to polytypic materials like CdI(2), GaSe, micas, and kaolins, revealing a probability of degenerate, disordered ground states.

Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Materials science

Background:

  • Discrete classical problems in one-dimensional statistical mechanics can exhibit non-periodic ground states.
  • Elementary symmetries can prevent crystalline ground states even without fine-tuning couplings.

Purpose of the Study:

  • To apply recent findings on non-periodic ground states to polytypic materials.
  • To investigate the ground state properties of SiC, CdI(2), GaSe, micas, and kaolins.

Main Methods:

  • Application of theoretical results from one-dimensional statistical mechanics.
  • Analysis of symmetries and coupling effects in selected material families.

Main Results:

  • For CdI(2), GaSe, micas, and kaolins, there is a finite probability of a degenerate and disordered ground state.

Related Experiment Videos

  • Silicon carbide (SiC) was found to be an exception, not exhibiting this disordered ground state.

    • Conclusions:

    • Polytypic materials, excluding SiC, can possess degenerate and disordered ground states.
    • The presence of specific symmetries influences the ground state nature in these materials.