In the quantum anomalous Hall effect, the edge states of a ferromagnetically doped topological insulator exhibit quantized Hall resistance and dissipationless transport at zero magnetic field. Up to now, however, the resistance was experimentally assessed using standard transport measurement techniques which are difficult to trace to the von-Klitzing constant RK with high precision. Here, we present a metrologically comprehensive measurement, including a full uncertainty budget, of the resistance quantization of V-doped (Bi,Sb)2Te3 devices without the external magnetic field. For the deviation of the quantized anomalous Hall resistance from RK, we determined a value of 0.17 ± 0.25 ppm, the smallest and most precise value reported to date. This is a step towards realization of a practical zero-field quantum resistance standard which in combination with the Josephson effect could provide the universal quantum units standard in the future.
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12 February 2018
Research Article|
February 13 2018
Precision measurement of the quantized anomalous Hall resistance at zero magnetic field
Martin Götz;
Martin Götz
1
Physikalisch-Technische Bundesanstalt
, Bundesallee 100, D-38116 Braunschweig, Germany
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Kajetan M. Fijalkowski;
Kajetan M. Fijalkowski
2
Physikalisches Institut (EP3), Universität Würzburg
, Am Hubland, D-97074 Würzburg, Germany
3
Institute for Topological Insulators
, Am Hubland, D-97074 Würzburg, Germany
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Eckart Pesel
;
Eckart Pesel
1
Physikalisch-Technische Bundesanstalt
, Bundesallee 100, D-38116 Braunschweig, Germany
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Matthias Hartl
;
Matthias Hartl
2
Physikalisches Institut (EP3), Universität Würzburg
, Am Hubland, D-97074 Würzburg, Germany
3
Institute for Topological Insulators
, Am Hubland, D-97074 Würzburg, Germany
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Steffen Schreyeck;
Steffen Schreyeck
2
Physikalisches Institut (EP3), Universität Würzburg
, Am Hubland, D-97074 Würzburg, Germany
3
Institute for Topological Insulators
, Am Hubland, D-97074 Würzburg, Germany
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Martin Winnerlein;
Martin Winnerlein
2
Physikalisches Institut (EP3), Universität Würzburg
, Am Hubland, D-97074 Würzburg, Germany
3
Institute for Topological Insulators
, Am Hubland, D-97074 Würzburg, Germany
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Stefan Grauer;
Stefan Grauer
2
Physikalisches Institut (EP3), Universität Würzburg
, Am Hubland, D-97074 Würzburg, Germany
3
Institute for Topological Insulators
, Am Hubland, D-97074 Würzburg, Germany
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Hansjörg Scherer
;
Hansjörg Scherer
1
Physikalisch-Technische Bundesanstalt
, Bundesallee 100, D-38116 Braunschweig, Germany
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Karl Brunner;
Karl Brunner
2
Physikalisches Institut (EP3), Universität Würzburg
, Am Hubland, D-97074 Würzburg, Germany
3
Institute for Topological Insulators
, Am Hubland, D-97074 Würzburg, Germany
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Charles Gould;
Charles Gould
2
Physikalisches Institut (EP3), Universität Würzburg
, Am Hubland, D-97074 Würzburg, Germany
3
Institute for Topological Insulators
, Am Hubland, D-97074 Würzburg, Germany
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Franz J. Ahlers;
Franz J. Ahlers
a)
1
Physikalisch-Technische Bundesanstalt
, Bundesallee 100, D-38116 Braunschweig, Germany
a)Author to whom correspondence should be addressed: franz.ahlers@ptb.de
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Laurens W. Molenkamp
Laurens W. Molenkamp
2
Physikalisches Institut (EP3), Universität Würzburg
, Am Hubland, D-97074 Würzburg, Germany
3
Institute for Topological Insulators
, Am Hubland, D-97074 Würzburg, Germany
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a)Author to whom correspondence should be addressed: franz.ahlers@ptb.de
Appl. Phys. Lett. 112, 072102 (2018)
Article history
Received:
October 19 2017
Accepted:
January 28 2018
Citation
Martin Götz, Kajetan M. Fijalkowski, Eckart Pesel, Matthias Hartl, Steffen Schreyeck, Martin Winnerlein, Stefan Grauer, Hansjörg Scherer, Karl Brunner, Charles Gould, Franz J. Ahlers, Laurens W. Molenkamp; Precision measurement of the quantized anomalous Hall resistance at zero magnetic field. Appl. Phys. Lett. 12 February 2018; 112 (7): 072102. https://doi.org/10.1063/1.5009718
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