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First-order transition in the ginzburg-landau model

¹Universite de Neuchatel, 2000 Neuchatel, Switzerland.

Physical Review Letters

|September 16, 2000

Summary

Phase fluctuations in the complex Ginzburg-Landau (GL) model drive a first-order transition at high superfluid density. This variational approach is validated for the d=3 case within this first-order domain.

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Area of Science:

Condensed Matter Physics
Statistical Mechanics

Background:

The complex Ginzburg-Landau (GL) model describes phenomena like superconductivity and superfluidity.
Understanding phase transitions in physical systems is crucial for theoretical advancements.

Purpose of the Study:

To solve the d-dimensional complex Ginzburg-Landau (GL) model using a variational method.
To investigate the conditions under which the GL transition becomes first-order.

Main Methods:

A variational method was employed, separating the phase and amplitude components of the GL model.
Analysis focused on the role of phase fluctuations in driving the transition.

Main Results:

The GL transition is shown to become first-order for high superfluid density due to phase fluctuations.
The validity of the variational approach is confirmed for the d=3 case within the first-order domain.

Conclusions:

Phase fluctuations are key to understanding first-order GL transitions.
The presented variational method provides a robust framework for studying these transitions, particularly in three dimensions.

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