Quantum Hall resistance standard in graphene devices under relaxed experimental conditions.

The quantum Hall effect provides a universal standard for electrical resistance that is theoretically based on only the Planck constant h and the electron charge e. Currently, this standard is implemented in GaAs/AlGaAs, but graphene's electronic properties have given hope for a more practical device. Here, we demonstrate that the experimental conditions necessary for the operation of devices made of high-quality graphene grown by chemical vapour deposition on silicon carbide can be extended and significantly relaxed compared with those for state-of-the-art GaAs/AlGaAs devices. In particular, the Hall resistance can be accurately quantized to within 1 × 10(-9) over a 10 T wide range of magnetic flux density, down to 3.5 T, at a temperature of up to 10 K or with a current of up to 0.5 mA. This experimental simplification highlights the great potential of graphene in the development of user-friendly and versatile quantum standards that are compatible with broader industrial uses beyond those in national metrology institutes. Furthermore, the measured agreement of the quantized Hall resistance in graphene and GaAs/AlGaAs, with an ultimate uncertainty of 8.2 × 10(-11), supports the universality of the quantum Hall effect. This also provides evidence of the relation of the quantized Hall resistance with h and e, which is crucial for the new Système International d'unités to be based on fixing such fundamental constants of nature.

[1]  A. Geim,et al.  Two-dimensional gas of massless Dirac fermions in graphene , 2005, Nature.

[2]  Alexander Tzalenchuk,et al.  Non‐Volatile Photochemical Gating of an Epitaxial Graphene/Polymer Heterostructure , 2011, Advanced materials.

[3]  D. Glattli,et al.  Quantum Hall effect in exfoliated graphene affected by charged impurities: Metrological measurements , 2011, 1110.4884.

[4]  D. Thouless Topological interpretations of quantum Hall conductance , 1994 .

[5]  G. Dorda,et al.  New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance , 1980 .

[6]  A. H. Wapstra,et al.  Atomic Masses and Fundamental Constants 5 , 1976 .

[7]  Mikael Syväjärvi,et al.  Towards a quantum resistance standard based on epitaxial graphene. , 2010, Nature nanotechnology.

[8]  Wu,et al.  Quantized Hall conductance as a topological invariant. , 1984, Physical review. B, Condensed matter.

[9]  T. Chassagne,et al.  X-Ray Diffraction and Raman Spectroscopy Study of Strain in Graphene Films Grown on 6H-SiC(0001) Using Propane-Hydrogen-Argon CVD , 2013 .

[10]  D. Newell,et al.  Quantum Hall effect on centimeter scale chemical vapor deposited graphene films , 2011, 1109.6829.

[11]  G. Meunier,et al.  Innovating approaches to the generation of intense magnetic fields : design and optimization of a 4 Tesla permanent magnet flux source , 1998 .

[12]  B. Taylor,et al.  CODATA recommended values of the fundamental physical constants: 2006 | NIST , 2007, 0801.0028.

[13]  A. Penin Quantum Hall effect in quantum electrodynamics , 2008, 0809.0486.

[14]  C. Berger,et al.  Electronic Confinement and Coherence in Patterned Epitaxial Graphene , 2006, Science.

[15]  R. Yakimova,et al.  Precision comparison of the quantum Hall effect in graphene and gallium arsenide , 2012, 1202.2985.

[16]  T. Chassagne,et al.  Quantum Hall resistance standards from graphene grown by chemical vapour deposition on silicon carbide , 2014, Nature Communications.

[17]  K. Pierz,et al.  Precision quantization of Hall resistance in transferred graphene , 2012, 1203.1798.

[18]  R. Yakimova,et al.  Anomalously strong pinning of the filling factor nu=2 in epitaxial graphene , 2010, 1009.3450.

[19]  Robert B. Laughlin,et al.  Quantized Hall conductivity in two-dimensions , 1981 .

[20]  W. Poirier,et al.  Resistance metrology based on the quantum Hall effect , 2009 .

[21]  B. Taylor,et al.  CODATA Recommended Values of the Fundamental Physical Constants: 2010 | NIST , 2007, 0801.0028.

[22]  J. M. Williams,et al.  Graphene, universality of the quantum Hall effect and redefinition of the SI system , 2011 .

[23]  K. Novoselov,et al.  A roadmap for graphene , 2012, Nature.

[24]  F. Piquemal,et al.  Report on a joint BIPM-EUROMET project for the fabrication of QHE samples by the LEP , 1993 .

[25]  A. Ouerghi,et al.  Direct growth of few-layer graphene on 6H-SiC and 3C-SiC/Si via propane chemical vapor deposition , 2010 .

[26]  Peter J. Mohr,et al.  Adapting the International System of Units to the twenty-first century , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[27]  W. Poirier,et al.  A programmable quantum current standard from the Josephson and the quantum Hall effects , 2013, 1310.3172.

[28]  B. Jeckelmann,et al.  Revised technical guidelines for reliable dc measurements of the quantized Hall resistance , 2003 .

[29]  T. Chassagne,et al.  Effects of pressure, temperature, and hydrogen during graphene growth on SiC(0001) using propane-hydrogen chemical vapor deposition , 2013 .

[30]  B. P. Kibble,et al.  A Measurement of the Gyromagnetic Ratio of the Proton by the Strong Field Method , 1976 .

[31]  G. Rietveld,et al.  Quantum resistance metrology in graphene , 2008, 0810.4064.

[32]  D. W. Allan,et al.  Should the classical variance be used as a basic measure in standards metrology? , 1987, IEEE Transactions on Instrumentation and Measurement.

[33]  Graphene-based quantum Hall effect metrology , 2012 .

[34]  Quantum resistance standard accuracy close to the zero-dissipation state , 2013, 1301.5241.

[35]  Blaise Jeanneret,et al.  High-precision measurements of the quantized Hall resistance:Experimental conditions for universality , 1997 .

[36]  M. Portail,et al.  Tuning the transport properties of graphene films grown by CVD on SiC(0001): Effect of in situ hydrogenation and annealing , 2014 .

[37]  S. Novikov,et al.  Precision quantum Hall resistance measurement on epitaxial graphene device in low magnetic field , 2013, 1308.0456.

[38]  Gallagher,et al.  Direct comparison of the quantized Hall resistance in gallium arsenide and silicon. , 1991, Physical review letters.

[39]  Richard Davis,et al.  Towards a new SI: a review of progress made since 2011 , 2014 .

[40]  P. Kim,et al.  Experimental observation of the quantum Hall effect and Berry's phase in graphene , 2005, Nature.

[41]  Ray Radebaugh,et al.  Cryocoolers: the state of the art and recent developments , 2009, Journal of physics. Condensed matter : an Institute of Physics journal.

[42]  A. Aronov,et al.  Electron–Electron Interaction In Disordered Conductors , 1985 .

[43]  S. Novikov,et al.  Towards a Graphene-Based Quantum Impedance Standard , 2014 .

[44]  P. Bievre The 2007 International Vocabulary of Metrology (VIM), JCGM 200:2008 [ISO/IEC Guide 99]: Meeting the need for intercontinentally understood concepts and their associated intercontinentally agreed terms. , 2009 .