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

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Universal critical exponent in class D superconductors.

Victor Kagalovsky¹, Demitry Nemirovsky

¹Sami Shamoon College of Engineering, Beer-Sheva, Israel.

Physical Review Letters

|October 15, 2008

Summary

This summary is machine-generated.

We studied disordered superconductors in class D, finding three phases including metallic and two localized states with distinct thermal Hall conductances. Critical exponents for transitions were found to be identical, and the insulator-to-metal transition disorder is energy-independent.

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Area of Science:

Condensed Matter Physics
Quantum Materials
Disordered Superconductors

Background:

Noninteracting quasiparticles in disordered superconductors lacking time-reversal or spin-rotation invariance are classified under random matrix ensemble class D.
This system exhibits a complex phase diagram with metallic and two distinct localized phases.

Purpose of the Study:

To investigate the phase diagram and critical behavior of class D disordered superconductors.
To analyze the nature of transitions between metallic and localized phases.
To determine the energy dependence of critical disorder for the insulator-to-metal transition.

Main Methods:

Numerical calculations were employed to study the system's properties.
Analysis focused on critical exponents characterizing insulator-to-insulator and insulator-to-metal transitions.
Quantized thermal Hall conductances of the localized phases were examined.

Main Results:

The phase diagram includes a metallic phase and two distinct localized phases with different quantized thermal Hall conductances.
Critical exponents for insulator-to-insulator and insulator-to-metal transitions were found to be numerically identical.
The critical disorder for the insulator-to-metal transition was determined to be energy-independent.

Conclusions:

The study reveals universal critical behavior in class D disordered superconductors.
The findings contribute to understanding topological phase transitions in disordered quantum systems.
The energy independence of the critical disorder simplifies the characterization of the insulator-to-metal transition.