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

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Published on: August 2, 2019

Effect of Fibonacci modulation on superconductivity.

Sanjay Gupta¹, Shreekantha Sil, Bibhas Bhattacharyya

¹Department of Theoretical Physics, Indian Association for the Cultivation of Science, Kolkata-700032, India.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|June 24, 2011

Summary

This summary is machine-generated.

We studied electron pairing in one-dimensional models with Fibonacci modulation. Disorder suppresses superconductivity at strong coupling but enhances pairing correlations at weak coupling, with model-specific differences.

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Fabrication and Characterization of Superconducting Resonators

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Published on: May 21, 2016

Area of Science:

Condensed Matter Physics
Materials Science
Quantum Mechanics

Background:

Investigating electron pairing interactions is crucial for understanding superconductivity.
Fibonacci modulation introduces quasi-periodic potential in materials.
Single-band models provide simplified yet insightful frameworks for studying complex phenomena.

Purpose of the Study:

To investigate the effects of short-range pairing interactions on finite-sized single-band models.
To analyze the impact of diagonal Fibonacci modulation on electron behavior.
To compare the behavior of the attractive Hubbard model and the Penson-Kolb model under these conditions.

Main Methods:

Solving the Bogoliubov-de Gennes equations in real space.
Employing a mean-field approximation.
Studying models at half-filling and zero temperature.

Main Results:

Competition between disorder and pairing interactions suppresses superconductivity in the strong-coupling limit.
Pairing correlations are enhanced in the weak-coupling regime for both models.
Distinct differences arise due to the unique pairing mechanisms of the attractive Hubbard and Penson-Kolb models.

Conclusions:

Fibonacci modulation and pairing interactions significantly influence electronic properties.
The interplay between disorder and coupling strength dictates the superconducting behavior.
Further analysis revealed the impact of disorder on specific phases within the Penson-Kolb model, alongside identified finite-size effects.