Synopsis: The rules of disorder

Disorder causes an unexpected quantum phase transition in graphene.
Synopsis figure
Illustration: T. Kawarabayashi et al., Phys. Rev. Lett. (2009)

Graphene, a single atomic layer of carbon, is effectively a sandbox for studying electrons in two dimensions. Much behavior familiar from other two-dimensional systems, such as the anomalous quantum Hall effect, also occurs in graphene. Researchers are intrigued by the extent to which graphene’s properties result from its peculiar band structure, the so-called Dirac cone.

In an article appearing in Physical Review Letters, Tohru Kawarabayashi, Yasuhiro Hatsugai, and Hideo Aoki at Toho University, the University of Tsukuba, and the University of Tokyo, respectively, study theoretically how disorder may affect the behavior of Landau levels in graphene. Taking into account certain symmetries arising from graphene’s honeycomb lattice structure [1], they find that the quantum Hall plateau transition becomes extraordinarily sharp in the lowest Landau level for significantly strong bond disorder, as long as it is spatially correlated over a few lattice constants. The same does not hold for higher Landau levels. This behavior is not generally seen with random Dirac fermions, and is thus attributed to the symmetry properties peculiar to graphene. The authors argue that this effect should be visible in otherwise clean graphene where disorder arising from ripples in the two-dimensional sheet is spatially correlated. – Sami Mitra

[1] Y. Hatsugai, Phys. Rev. B 74, 205414 (2006).


Announcements

More Announcements »

Subject Areas

Graphene

Previous Synopsis

Particles and Fields

The shortest known photon pulses

Read More »

Next Synopsis

Strongly Correlated Materials

Theory tackles strong interactions

Read More »

Related Articles

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 »

Focus: New Form of Carbon Stores Lots of Gas
Graphene

Focus: New Form of Carbon Stores Lots of Gas

Carbon honeycomb, a new carbon structure, could store large amounts of hydrogen gas, which may benefit fuel cell technology. Read More »

Synopsis: Graphene Majoranas
Graphene

Synopsis: Graphene Majoranas

Graphene could host Majorana quasiparticles if brought into contact with a conventional superconductor. Read More »

More Articles