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Related Experiment Video

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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Superconductor-insulator transition on annealed complex networks.

Ginestra Bianconi¹

¹Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 26, 2012

Summary

High critical temperatures in cuprates may be linked to optimal inhomogeneity. A new model shows that specific network structures can lead to infinite superconducting transition temperatures, offering insights into high-Tc mechanisms.

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Area of Science:

Condensed Matter Physics
Materials Science
Statistical Mechanics

Background:

Cuprates exhibit complex multiphase and multiscale properties hindering the understanding of high-temperature superconductivity (high-Tc).
Recent research suggests that optimal inhomogeneity in dopants, defects, and interstitials, along with scale invariance, may enhance critical temperature.
Scanning micro-X-ray diffraction has identified structural scale invariance in dopants as a promoter of critical temperature.

Purpose of the Study:

To develop a stylized model for the superconducting-insulator transition in heterogeneous granular materials.
To investigate the role of complex network structures and degree heterogeneity in critical phenomena.
To elucidate the mechanism behind high-Tc in cuprates by studying critical phenomena.

Main Methods:

Utilized the random transverse Ising model (RTIM) on annealed complex networks.
Analyzed power-law distributions to describe the heterogeneity of expected degrees in the networks.
Introduced an external parameter 'g' to model an exponential cutoff in the degree distribution.

Main Results:

The critical temperature for superconductivity diverges to infinity when network heterogeneity follows a power-law distribution with an exponent γ < 3.
For a specific critical state (g=gc), the superconducting-insulator transition temperature shows a maximum at γ > 3 and diverges at γ < 3.
The study highlights the significant impact of network structure and degree distribution on superconducting properties.

Conclusions:

Heterogeneity, particularly when described by a power-law distribution with γ < 3, is crucial for achieving infinite critical temperatures in granular superconductors.
The findings provide a theoretical framework for understanding the superconducting-insulator transition in complex systems.
The proposed model offers new perspectives on the factors influencing high-Tc in materials like cuprates.