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Area of Science:

  • Condensed Matter Physics
  • Theoretical Physics
  • Materials Science

Background:

  • Landau's theory describes phase transitions but often overlooks order parameter topology.
  • Order parameters with multiple components can exhibit non-trivial topology and Berry phases.
  • Understanding topological properties is crucial for advanced materials and quantum phenomena.

Purpose of the Study:

  • To extend Landau's theory by incorporating the topology of the order parameter.
  • To investigate the topological Berry phase in superconducting phase transitions.
  • To identify experimental signatures of topological phenomena in electronic systems.

Main Methods:

  • Incorporation of order parameter topology into Landau's theory.
  • Analysis of the time-dependent Ginzburg-Landau equation in the adiabatic limit.
  • Investigation of superconducting systems with tetragonal symmetry and specific interactions.

Main Results:

  • The order parameter acquires a Berry phase due to its non-trivial topology.
  • Topological properties arise from thermodynamic analogs of gapless Dirac and Weyl points.
  • A specific experimental signature in Josephson junctions is identified.

Conclusions:

  • The topological nature of the order parameter significantly impacts phase transitions.
  • Berry phase acquisition is linked to the underlying symmetry and topology of the system.
  • The findings offer a new perspective on topological phases and their experimental detection.