Synopsis: Scarred graphene

Graphene is not just your everyday relativistic quantum playground; it may have ghostly chaotic features as well.
Synopsis figure
Illustration: L. Huang et al., Phys. Rev. Lett. (2009)

In the same way that scarring is a lingering reminder, quantum scarring harkens back to the classical world in a quantum scenario. Quantum scarring occurs in a quantum system that becomes chaotic in the classical limit and the “scars” are wave functions that gather around those classical paths that retrace themselves. This is perhaps counterintuitive, as one expects quantum wave functions to eschew the predictability of classical orbits.

Writing in Physical Review Letters, Liang Huang and colleagues at the Arizona State University, US, go a step further and ask if we should be able to see scarring in a relativistic quantum scenario, that is, one described by the Dirac, rather than the Schrödinger, equation. They consider this problem specifically in graphene, which has been called the prototypical bench-top relativistic quantum system. Due to its peculiar band structure, the charge carriers in graphene behave as relativistic particles with zero effective mass.

Huang et al. use a tight-binding calculation to study a confined geometry (a stadium-shaped quantum dot encompassing over 10,000 carbon atoms) both near and far from the relativistic limit, and under various confinement scenarios, and “see” the telltale imagery of scarring. This study should be tantalizing to researchers in both condensed matter transport as well as nonlinear dynamics. – Sami Mitra


Announcements

More Announcements »

Subject Areas

Nonlinear DynamicsGraphene

Previous Synopsis

Nonlinear Dynamics

Swinging and springing

Read More »

Next Synopsis

Atomic and Molecular Physics

Heteronuclear tango

Read More »

Related Articles

Synopsis: Jiggling Graphene
Graphene

Synopsis: Jiggling Graphene

The random quivering of graphene membranes could be exploited to generate electricity. Read More »

Focus: Surface Waves Store Bouncing Droplet’s History
Nonlinear Dynamics

Focus: Surface Waves Store Bouncing Droplet’s History

A droplet bouncing and wandering across a liquid surface can produce waves that store the history of its chaotic motion. Read More »

Viewpoint: Chasing the Exciton Condensate
Semiconductor Physics

Viewpoint: Chasing the Exciton Condensate

Unusual interactions between charges have been observed in two closely separated graphene bilayers, a promising system in which to create a condensate of electron-hole pairs. Read More »

More Articles