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

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Quantum critical scaling in graphene.

Daniel E Sheehy¹, Jörg Schmalian

¹Ames Lab and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA.

Physical Review Letters

|February 1, 2008

Summary

The Coulomb interaction is crucial for graphene

Area of Science:

Condensed matter physics
Materials science

Background:

Graphene exhibits emergent relativistic symmetry near its quantum critical point (QCP).
Understanding electron interactions is key to predicting graphene's properties.

Purpose of the Study:

To investigate the role of Coulomb interaction in graphene's electronic behavior near the QCP.
To derive scaling laws for magnetic and charge responses.

Main Methods:

Theoretical analysis of interacting electrons in graphene.
Derivation of scaling laws near the QCP.

Main Results:

The Coulomb interaction significantly influences graphene's magnetic and charge response.
Derived scaling laws accurately describe behavior near the QCP.

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Conclusions:

The emergent relativistic symmetry highlights the importance of Coulomb interactions.
The study provides testable predictions for experimental observables like diamagnetic response and electronic compressibility.