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: Sorting Carbon Nanotubes with Light
Graphene

Synopsis: Sorting Carbon Nanotubes with Light

Laser light can be used to sort carbon nanotubes according to their chirality. Read More »

Synopsis: Stars That Act Irrational
Astrophysics

Synopsis: Stars That Act Irrational

The ratio of the frequencies of a pulsating star is approximately the golden mean, a clue that the pulsing is fractal in time. Read More »

Synopsis: Magnetic Graphene
Magnetism

Synopsis: Magnetic Graphene

Placing graphene on an insulating magnetic substrate can make the material ferromagnetic without disturbing its exceptional conductivity. Read More »

More Articles