Graphene and the universality of the quantum Hall effect

A. Tzalenchuk; T. J.B.M. Janssen; O. Kazakova; J. M. Williams; S. Kubatkin; S. Lara-Avila; K. Moth-Poulsen; R. Yakimova; T. Bjørnholm; N. E. Fletcher; R. Goebel; S. V. Kopylov; V. Fal'Ko

doi:10.3254/978-1-61499-326-1-323

Graphene and the universality of the quantum Hall effect

A. Tzalenchuk, T. J.B.M. Janssen, O. Kazakova, J. M. Williams, S. Kubatkin, S. Lara-Avila, K. Moth-Poulsen, R. Yakimova, T. Bjørnholm, N. E. Fletcher, R. Goebel, S. V. Kopylov, V. Fal'Ko

Department of Chemistry

Abstract

The quantum Hall effect allows the standard for resistance to be defined in terms of the elementary charge and Planck's constant alone. The effect comprises the quantization of the Hall resistance in two-dimensional electron systems in rational fractions of R_K=h/e²=25812.8074434(84) Ω (Mohr P. J. et al., Rev. Mod. Phys., 84 (2012) 1527), the resistance quantum. Despite 30 years of research into the quantum Hall effect, the level of precision necessary for metrology, a few parts per billion, has been achieved only in silicon and III-V heterostructure devices. In this lecture we show that graphene - a single layer of carbon atoms - beats these well-established semiconductor materials as the system of choice for the realisation of the quantum resistance standard. Here we shall briefly describe graphene technology, discuss the structure and electronic properties of graphene, including the unconventional quantum Hall effect and then present in detail the route, which led to the most precise quantum Hall resistance universality test ever performed.

Original language	English
Title of host publication	Proceedings of the International School of Physics "Enrico Fermi" : Metrology and Physical Constants
Number of pages	28
Volume	185
Publisher	IOS Press
Publication date	2013
Pages	323-350
ISBN (Print)	9781614993254
DOIs	https://doi.org/10.3254/978-1-61499-326-1-323
Publication status	Published - 2013
Event	International School of Physics "Enrico Fermi" on Metrology and Physical Constants - Varenna, Italy Duration: 17 Jul 2012 → 27 Jul 2012

Conference

Conference	International School of Physics "Enrico Fermi" on Metrology and Physical Constants
Country/Territory	Italy
City	Varenna
Period	17/07/2012 → 27/07/2012
Sponsor	CRT Foundation, Lecco Chamber of Commerce, National Council of Research, National Institute of Nuclear Physics, Thermo Fisher Scientific

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10.3254/978-1-61499-326-1-323

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Tzalenchuk, A., Janssen, T. J. B. M., Kazakova, O., Williams, J. M., Kubatkin, S., Lara-Avila, S., Moth-Poulsen, K., Yakimova, R., Bjørnholm, T., Fletcher, N. E., Goebel, R., Kopylov, S. V., & Fal'Ko, V. (2013). Graphene and the universality of the quantum Hall effect. In Proceedings of the International School of Physics "Enrico Fermi": Metrology and Physical Constants (Vol. 185, pp. 323-350). IOS Press. https://doi.org/10.3254/978-1-61499-326-1-323

Graphene and the universality of the quantum Hall effect. / Tzalenchuk, A.; Janssen, T. J.B.M.; Kazakova, O. et al.

Proceedings of the International School of Physics "Enrico Fermi": Metrology and Physical Constants. Vol. 185 IOS Press, 2013. p. 323-350.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Tzalenchuk, A, Janssen, TJBM, Kazakova, O, Williams, JM, Kubatkin, S, Lara-Avila, S, Moth-Poulsen, K, Yakimova, R, Bjørnholm, T, Fletcher, NE, Goebel, R, Kopylov, SV & Fal'Ko, V 2013, Graphene and the universality of the quantum Hall effect. in Proceedings of the International School of Physics "Enrico Fermi": Metrology and Physical Constants. vol. 185, IOS Press, pp. 323-350, International School of Physics "Enrico Fermi" on Metrology and Physical Constants, Varenna, Italy, 17/07/2012. https://doi.org/10.3254/978-1-61499-326-1-323

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abstract = "The quantum Hall effect allows the standard for resistance to be defined in terms of the elementary charge and Planck's constant alone. The effect comprises the quantization of the Hall resistance in two-dimensional electron systems in rational fractions of RK=h/e2=25812.8074434(84) Ω (Mohr P. J. et al., Rev. Mod. Phys., 84 (2012) 1527), the resistance quantum. Despite 30 years of research into the quantum Hall effect, the level of precision necessary for metrology, a few parts per billion, has been achieved only in silicon and III-V heterostructure devices. In this lecture we show that graphene - a single layer of carbon atoms - beats these well-established semiconductor materials as the system of choice for the realisation of the quantum resistance standard. Here we shall briefly describe graphene technology, discuss the structure and electronic properties of graphene, including the unconventional quantum Hall effect and then present in detail the route, which led to the most precise quantum Hall resistance universality test ever performed.",

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AU - Tzalenchuk, A.

AU - Janssen, T. J.B.M.

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AU - Williams, J. M.

AU - Kubatkin, S.

AU - Lara-Avila, S.

AU - Moth-Poulsen, K.

AU - Yakimova, R.

AU - Bjørnholm, T.

AU - Fletcher, N. E.

AU - Goebel, R.

AU - Kopylov, S. V.

AU - Fal'Ko, V.

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AB - The quantum Hall effect allows the standard for resistance to be defined in terms of the elementary charge and Planck's constant alone. The effect comprises the quantization of the Hall resistance in two-dimensional electron systems in rational fractions of RK=h/e2=25812.8074434(84) Ω (Mohr P. J. et al., Rev. Mod. Phys., 84 (2012) 1527), the resistance quantum. Despite 30 years of research into the quantum Hall effect, the level of precision necessary for metrology, a few parts per billion, has been achieved only in silicon and III-V heterostructure devices. In this lecture we show that graphene - a single layer of carbon atoms - beats these well-established semiconductor materials as the system of choice for the realisation of the quantum resistance standard. Here we shall briefly describe graphene technology, discuss the structure and electronic properties of graphene, including the unconventional quantum Hall effect and then present in detail the route, which led to the most precise quantum Hall resistance universality test ever performed.

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M3 - Article in proceedings

AN - SCOPUS:84896782591

SN - 9781614993254

VL - 185

SP - 323

EP - 350

BT - Proceedings of the International School of Physics "Enrico Fermi"

PB - IOS Press

T2 - International School of Physics "Enrico Fermi" on Metrology and Physical Constants

Y2 - 17 July 2012 through 27 July 2012

ER -

Graphene and the universality of the quantum Hall effect

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