Homotopy in statistical physics

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15 Citations (Scopus)

Abstract

In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a pedagogic introduction to the mathematical methods involved in topology and homotopy theory, the role of the latter in a number of mainly low-dimensional statistical-mechanical systems is outlined. Some recent activities in this area are reviewed and some possible future directions are discussed.
Original languageEnglish
Pages (from-to)283-304
JournalCondensed Matter Physics
Volume9
Issue number2(46)
DOIs
Publication statusPublished - 2006

Bibliographical note

The full text is available from: http://dx.doi.org/10.5488/CMP.9.2.283

Keywords

  • homotopy
  • phase transitions
  • scaling
  • topological defects

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