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

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Holographic superconductivity in M theory.

Jerome P Gauntlett¹, Julian Sonner, Toby Wiseman

¹Theoretical Physics Group, Blackett Laboratory, Imperial College, London SW7 2AZ, United Kingdom.

Physical Review Letters

|November 13, 2009

Summary

We constructed eleven-dimensional supergravity solutions, holographically dual to three-dimensional superconductors. Numerical results reveal a novel zero-temperature solution representing a quantum critical point.

Area of Science:

Theoretical Physics
String Theory
Condensed Matter Physics

Background:

Supergravity theories provide a framework for unifying fundamental forces.
Holographic duality (AdS/CFT) connects gravity theories to quantum field theories.
Superconductors exhibit zero electrical resistance below a critical temperature.

Purpose of the Study:

To construct eleven-dimensional supergravity solutions.
To explore holographic duals of three-dimensional superconductors.
To investigate quantum critical points using numerical methods.

Main Methods:

Utilizing seven-dimensional Sasaki-Einstein spaces.
Constructing solutions within eleven-dimensional supergravity.
Employing numerical analysis to study solution properties.

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Main Results:

Successfully constructed supergravity solutions dual to superconductors.
Identified a new zero-temperature solution.
This solution is dual to a quantum critical point.

Conclusions:

The study demonstrates a connection between Sasaki-Einstein geometry and condensed matter phenomena.
The findings suggest a holographic description of quantum criticality.
Further research can explore the properties of these novel solutions.