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Stable Pfaffian state in bilayer graphene.

Vadim M Apalkov¹, Tapash Chakraborty

¹Department of Physics and Astronomy, Georgia State University, Atlanta, Georgia 30303, USA.

Physical Review Letters

|November 24, 2011

Summary

The incompressible Pfaffian state, crucial for fractional quantum Hall effects, is discovered in bilayer graphene. Its stability varies with magnetic field, showing enhanced robustness around 10 Tesla.

Area of Science:

Condensed Matter Physics
Materials Science

Background:

The Pfaffian state is a key theoretical model for fractional quantum Hall states in conventional 2D electron systems.
Investigating exotic quantum states in novel materials like graphene is crucial for advancing condensed matter physics.

Purpose of the Study:

To investigate the presence and properties of the incompressible Pfaffian state in bilayer graphene.
To determine the influence of magnetic field strength on the Pfaffian state's stability in this system.

Main Methods:

Theoretical analysis of the Pfaffian state within the context of bilayer graphene's Landau levels.
Examination of the system's behavior under varying magnetic field strengths.

Main Results:

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The incompressible Pfaffian state was identified in a specific Landau level of bilayer graphene.

The stability of this state is dependent on magnetic field strength, exhibiting a transition to a compressible state as the field increases.

The Pfaffian state in bilayer graphene demonstrates greater stability at approximately 10 Tesla compared to conventional systems.

Conclusions:

Bilayer graphene hosts the incompressible Pfaffian state, expanding its known material platforms.
The magnetic field plays a critical role in tuning the topological and electronic properties of quantum Hall states in graphene.