Unconventional quantum Hall effect and Berry’s phase of 2π in bilayer graphene

By K. Novoselov, E. McCann, S. Morozov, Vladimir Fal'ko, M. Katsnelson, U. Zeitler, D. Jiang, F. Schedin, A.K. Geim. 2006

1,611 citations recorded by the source corpus.

There are two known distinct types of the integer quantum Hall effect. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems1,2, and the other is its relativistic counterpart observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry’s phase π, which results in shifted positions of the Hall plateaus3,4,5,6,7,8,9. Here we report a third type of the integer quantum Hall effect. Charge carriers in bilayer graphene have a parabolic energy spectrum but are chiral and show Berry’s phase 2π affecting their quantum dynamics. The Landau quantization of these fermions results in plateaus in Hall conductivity at standard integer positions, but the last (zero-level) plateau is missing. The zero-level anomaly is accompanied by metallic conductivity in the limit of low concentrations and high magnetic fields, in stark contrast to the conventional, insulating behaviour in this regime. The revealed chiral fermions have no known analogues and present an intriguing case for quantum-mechanical studies.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/2df4e63aaad47b579db0092df6b9a502cef755a0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. N. M. R. Peres
2. K. Novoselov
3. E. Rossi
4. E. Hwang
5. S. Adam
6. A.K. Geim
7. Francisco Guinea
8. Takashi Taniguchi

In Materials Chemistry

1. K. Novoselov
2. N. M. R. Peres
3. E. Hwang
4. E. Rossi
5. Francisco Guinea
6. S. Adam
7. Takashi Taniguchi
8. A.K. Geim

Citations in the corpus

• NO2 and humidity sensing characteristics of few-layer graphenes (2009, background): “r detecting very small concentration of NH3, NO2 and other gases [11, 12, 13, 14, 15]. Recent studies on the interaction of graphene with gas molecules have indicated that it can act as a good sensor [16, 17, 18, 19, 20, 21, 22, 23, 24]. Schedin and co-workers [22] have shown that the increase in th”
• Anomalies in thickness measurements of graphene and few layer graphite crystals by tapping mode atomic force microscopy (2008, background): “[7] Novoselov KS, McCann E, Morozov SV, Fal’Ko VI, Katsnelson MI, Zeitler U, et al.”
• Nonequilibrium phenomena in high Landau levels (2011, background): “It manifest itself, in particular, in the unconventional QH effect both in graphene (Novoselov et al., 2005; Zhang et al., 2005) and graphene bilayers (McCann and Fal’ko, 2006; Novoselov et al., 2006).”