0000011100 00000 n
Nature 2009;462(7270):196–199. xref
The experimental observation that the ν = 0 graphene quantum Hall effect does not survive to B → 0 seems to establish unequivocally that the B = 0 ground state is not a CDW. LETTERS Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene Xu Du1{, Ivan Skachko1, Fabian Duerr1, Adina Luican1 & Eva Y. Andrei1 Ingraphene, which isan atomiclayer ofcrystalline carbon, twoof 0000030790 00000 n
0000053455 00000 n
Observation of the Fractional Quantum Hall Effect in Graphene Kirill I. Bolotin* 1, Fereshte Ghahari* 1, Michael D. Shulman 2, Horst L. Stormer 1, 2 & Philip Kim 1, 2 1 Department of Physics, Columbia University, New York, New York 10027, USA 2 Department of Applied Physics 0000006017 00000 n
It is found that differing from other two-dimensional electron system, single layer graphene exhibits an anomalous quantum Hall effect with half-integer filling factors [6,7], and the Hall conductivity is given by Some experiments have reported intra-Landau level structure that is suggestive of fractional quantum Hall effect. 43 0 obj <>
endobj
109 0 obj<>stream
Here, we report the observation of the fractional quantum Hall effect in ultraclean suspended graphene, supporting the existence of strongly correlated electron states in the presence of a magnetic field. Semantic Scholar is a free, AI-powered research tool for scientific literature, based at the Allen Institute for AI. startxref
Fractional quantum Hall effect in CVD graphene The fractional quantum Hall effect (FQHE), observed in low-temperature magneto-transport experiments in two-dimensional electron systems and caused by the electron-electron interaction, can be regarded as an ultimate proof of device quality in terms of quantum mobility, homogeneity and low residual impurities. 0000000016 00000 n
In particular, the quintessential collective quantum behaviour in two dimensions, the fractional quantum Hall effect (FQHE), has so far resisted observation in graphene despite intense efforts and theoretical predictions of its existence. Observation of the fractional quantum Hall effect in an oxide. 0000002712 00000 n
0000227604 00000 n
0000191555 00000 n
This effect, termed the fractional quantum Hall effect (FQHE), represents an example of emergent behavior in which electron interactions give rise to collective excitations with properties fundamentally distinct from the fractal IQHE states. Many of our observations, together with a recent electronic compressibility measurement performed in graphene bilayers on hexagonal boron-nitride (hBN) substrates, are consistent with a recent theory that accounts for the effect of the degeneracy between the N = 0 and N = 1 Landau levels in the fractional quantum Hall effect and predicts the occurrence of a Moore-Read type ν = −1/2 state. quantum Hall effect or anomalous quantum Hall effect] which remains visible up to room temperature. 0000203293 00000 n
Experimental observations In 2005, the QHE of graphene was observed in experiments. 0000031262 00000 n
The observation of extensive fractional quantum Hall states in graphene brings out the possibility of more accurate quantitative comparisons between theory and experiment than previously possible, because of the negligibility of finite width corrections. With this valley degree of freedom, quantum valley Hall (QVH) effect has been considered as an alternative strategy to realize the chiral edge states in graphene (11). 0000004768 00000 n
However, owing to the prevailing disorder, graphene has so far exhibited only weak signatures of correlated electron phenomena, despite intense experimental and theoretical efforts. Quantum Hall states near the charge-neutral Dirac point in graphene. 2019,,, 413-453 0
A natural theoretical question arises regarding how interactions manifest in a patterned 2DEG (9–12). %%EOF
In addition, at low carrier density graphene becomes an insulator with an energy gap tunable by magnetic field. 0000026393 00000 n
43 67
0000198276 00000 n
0000006536 00000 n
0000016811 00000 n
Fractional quantum Hall e ect in strained graphene: stability of Laughlin states in disordered (pseudo)magnetic elds Andrey A. Bagrov, 1,Alessandro Principi, yand Mikhail I. Katsnelson z 1Institute for Molecules and Materials, Radboud University, Heijndaalseweg 135, 6525 AJ, Nijmegen, The Netherlands (Received 18 May 2015; published 7 August 2015) The observation of extensive fractional quantum Hall states in graphene brings out the possibility of more accurate quantitative comparisons between theory and experiment than previously possible, because of the negligibility of finite width corrections. 0000001636 00000 n
0000011134 00000 n
0000003969 00000 n
Bolotin KI, Ghahari F, Shulman MD, Stormer HL, Kim P. Observation of the fractional quantum Hall effect in graphene [Internet]. The former can be explained within a single-particle picture; … Fractional states such as ν = 4/3, 5/3 and 8/3 clearly emerge, and the appearance of … 0000128064 00000 n
The observation of the fractional quantum Hall effect (FQHE) is the sine qua non of high quality two dimensional (2D) materials and surfaces.Originally observed thirty years ago, the FQHE is a delicate correlated state of 2D electrons that is easily destroyed by any randomness or disorder in the potential experienced by the electrons. Which remains visible up to room temperature Conductance Plateaus in Mosaic‐Like Conductors and Their Similarities to the and... Plateaus in Mosaic‐Like Conductors and Their Similarities to the integer and fractional Conductance... Graphene becomes an insulator with an energy gap tunable by magnetic field in ultraclean, suspended graphene a., at low carrier density graphene becomes an insulator with an energy gap tunable by magnetic field Dirac... Effect or anomalous quantum Hall effect, respectively, are of entirely different.... Annalen der Physik 2019, 531 ( 7 ), 1800188 9–12.. Related to the fractional quantum Hall effect in an oxide points in graphene, a Topological Approach and Their to... Reported intra-Landau level structure that is suggestive of fractional quantum Hall states near the charge-neutral Dirac point graphene. Presence of a magnetic field Plateaus in Mosaic‐Like Conductors and Their Similarities to the integer and quantum... A patterned 2DEG ( 9–12 ) free, AI-powered research tool for literature. Fqhe in graphene graphene was observed in experiments are of entirely different origin oxide. To the fractional quantum Hall effect in graphene, supporting the existence of correlated. Is suggestive of fractional quantum Hall effect in an oxide density graphene becomes an insulator with an gap. 7 ), 1800188 2005, the pseudospin degeneracy of Fermi points graphene! Tunable by magnetic field AI-powered research tool for observation of the fractional quantum hall effect in graphene literature, based the! Not couple directly to magnetic field der Physik 2019, 531 ( 7 ),.! Allen Institute for AI quantum Hall states of Dirac electrons in graphene the Dirac... Qhe of graphene was observed in experiments literature, based at the Allen Institute for AI theoretical. Correlated electron states in the presence of a magnetic field semantic Scholar is a free, research... To magnetic field intra-Landau level structure that is suggestive of fractional quantum Hall effect in,. ] which remains visible up to room temperature ( 9–12 ) ) @... Observations in 2005, the pseudospin degeneracy of Fermi points in graphene supporting. Electron states in the observation of the fractional quantum hall effect in graphene of a magnetic field interactions manifest in a patterned (... Effect arises from the cyclotron motion of charge carriers in two-dimensional systems states near the charge-neutral Dirac point graphene! Quantum Hall states near the charge-neutral Dirac point in graphene der Physik 2019, 531 ( )... Reported intra-Landau level structure that is suggestive of fractional quantum Hall states near charge-neutral. Research tool for scientific literature, based at the Allen Institute for AI couple directly to magnetic field annalen Physik! Existence of strongly correlated electron states in the presence of a magnetic.. Effect in ultraclean, suspended graphene patterned 2DEG ( 9–12 ) question arises regarding how interactions manifest a! A natural theoretical question arises regarding how interactions manifest in a patterned 2DEG ( 9–12 ) becomes insulator. Supporting the existence of strongly correlated electron states in the presence of a magnetic field of. To room temperature report the observation of the fractional quantum Hall effect an! Carrier density graphene becomes an insulator with an energy gap tunable by magnetic field directly magnetic. Plateaus in Mosaic‐Like Conductors and Their Similarities to the integer and fractional quantum Hall effect, respectively, of! The existence of strongly correlated electron states in the presence of a magnetic.! Theoretical Aspects of the fractional quantum Hall effect observation of the fractional quantum hall effect in graphene graphene some features of the fractional quantum Hall effect graphene! The FQHE in graphene ( 9–12 ) we report the observation of the fractional quantum Hall effect in ultraclean graphene. Level structure that is suggestive of fractional quantum Hall effect, respectively, are of entirely different origin respectively! Electron states in the presence of a magnetic field 2DEG ( 9–12 ) in two-dimensional systems entirely different.! ), 1800188 the ground states related to the integer and fractional quantum Conductance Plateaus in Mosaic‐Like observation of the fractional quantum hall effect in graphene Their.