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Updated: Jul 7, 2026

Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

BCS-BEC crossover in a random external potential.

¹Laboratoire Physique Théorique et Modèles Statistiques, Université Paris Sud, Bat. 100, 91405 Orsay Cedex, France.

Physical Review Letters

|February 1, 2008

Summary

Disordered superfluid Fermi gases show nonmonotonic behavior in condensate depletion and normal fluid density near unitarity. Anderson

Area of Science:

Quantum physics
Condensed matter physics
Ultracold atomic gases

Background:

Superfluid Fermi gases exhibit complex behavior across the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) crossover.
Disorder effects on superfluidity are crucial for understanding many-body quantum systems.
Anderson's theorem traditionally describes how non-magnetic impurities affect superconductors.

Purpose of the Study:

To investigate the ground state properties of disordered superfluid Fermi gases.
To analyze the impact of weak disorder on condensate fraction and normal fluid density.
To examine the validity of Anderson's theorem in the BCS-BEC crossover regime.

Main Methods:

Theoretical investigation of a disordered superfluid Fermi gas.

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Analysis of ground state properties across the BCS-BEC crossover.

Examination of the interaction parameter (1/kFa) and its effect on system properties.

Main Results:

Condensate fraction depletion and normal fluid density show nonmonotonic behavior with weak disorder.
Minimum values for these properties are observed near the unitarity regime.
Anderson's theorem breaks down away from the weak-coupling BCS regime.

Conclusions:

Disorder significantly affects superfluid properties, especially away from the BCS limit.
The superfluid order parameter is increasingly influenced by random potentials in the crossover regime.
Nonmonotonic behaviors highlight the complex interplay between interactions, disorder, and superfluidity.