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Updated: May 30, 2026

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

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

Published on: August 2, 2019

Disorder-induced quantum bond percolation.

Shinya Nishino¹, Shuji Katsuno, Masaki Goda

¹Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan.

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

|August 6, 2011

Summary

This summary is machine-generated.

Off-diagonal disorder impacts quantum localization in networks. Increasing disorder in connected bonds raises the percolation threshold, while disorder in disconnected bonds lowers it, altering state localization.

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Area of Science:

Condensed Matter Physics
Quantum Mechanics
Network Science

Background:

Off-diagonal disorder's effect on quantum localization is complex and not always enhancing.
Understanding localization in disordered quantum systems is crucial for various physical phenomena.

Purpose of the Study:

To investigate the impact of off-diagonal disorder on localization properties in quantum bond percolation networks.
To numerically construct a phase diagram of the percolation threshold based on disorder levels.

Main Methods:

Numerical construction of a percolation threshold diagram.
Utilizing level statistics and finite-size scaling to distinguish extended from localized states.
Analyzing the effects of disorder in connected and disconnected bonds.

Main Results:

The percolation threshold increases with disorder in connected bonds.
The percolation threshold decreases with disorder in disconnected bonds.
Disorder-induced exchange of bond types dramatically alters the percolation threshold.

Conclusions:

Off-diagonal disorder has a nuanced effect on quantum localization, dependent on the nature of the disorder.
The study provides a detailed phase diagram illustrating the interplay between disorder and localization.
Findings are critical for understanding wave function localization in disordered quantum systems.