New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance
Open accessAbstract
Measurements of the Hall voltage of a two-dimensional electron gas, realized with a silicon metal-oxide-semiconductor field-effect transistor, show that the Hall resistance at particular, experimentally well-defined surface carrier concentrations has fixed values which depend only on the fine-structure constant and speed of light, and is insensitive to the geometry of the device. Preliminary data are reported.
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The quantum Hall effect refers to quantization of Hall conductivity in two-dimensional electronic systems with broken time-reversal symmetry.
“The quantum Hall effect (QHE), first measured in 1980 by Klitzing, Dorda and Pepper [16], refers to the quantization of Hall conductivity in two-dimensional electronic systems (or analogous atomic and other systems) with broken time-reversal symmetry (TRS).”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [16]
The Hall conductivity is quantized in units of q^2/h.
“The Hall (transverse) conductivity is quantized in units of q 2 /h [16]”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [16]
Both the integer and fractional QHE were discovered in semiconductor systems.
“Both the integer and the fractional QHE, largely responsible for diverting attention to topological quantum phases of matter, were discovered in semiconductor systems [16,26].”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [16]
The integer quantum Hall effect (IQHE) is a phenomenon of quantization of Hall conductivity in 2D systems with broken time-reversal symmetry.
“Cjelobrojni kvantni Hallov efekt (IQHE), otkriven 1980. [16], pojava je kvantizacije Hallove vodljivosti u 2D sustavima s narušenom simetrijom obrata vremena:”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [16]
With the discovery of topological quantum states of matter, classical systems with similar phenomenology could also be identified.
“It is thus intuitive that, with the discovery of various topological quantum states of matter such as quantum Hall 4 and quantum spin Hall effect 5 , classical systems with similar phenomenology could also be identified.”
From Topolectrical-circuit realization of topological corner modes (2018) · cites this paper as [4]
Recent works experimentally demonstrated photonic edge states derived by topological arguments, but none are topologically protected against scattering.
“On the other hand, a number of recent works have experimentally demonstrated the existence of photonic edge states that are derived by topological arguments (namely the bulk-edge correspondence principle) 13 -15 .However, none of these edge states is topologically protected against scattering and should not be confused with the topologically protected edge states in a topological insulator.”
From Photonic Floquet topological insulators (2013) · cites this paper as [15]
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Cites
The 1973 Least-Squares Adjustment of the Fundamental Constants
Cohen, E. R., & Taylor, B. N. (1973) · Journal of Physical and Chemical Reference Data · doi:10.1063/1.3253130 · Cited by 683 · see citing works
Solution of the Field Problem of the Germanium Gyrator
Wick, R. F. (1954) · Journal of Applied Physics · doi:10.1063/1.1721725 · Cited by 274 · see citing works
A New Theorem in Electrostatics and its Application to Calculable Standards of Capacitance
Thompson, A. M., & Lampard, D. G. (1956) · Nature · doi:10.1038/177888a0 · Cited by 257 · see citing works
Ando, T. (1974) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.37.622 · Cited by 199 · see citing works
Improved Method for Measuring Hall Coefficients
Isenberg, I., Russell, B. R., & Greene, R. F. (1948) · Review of Scientific Instruments · doi:10.1063/1.1741078 · Cited by 155 · see citing works
Williams, E. R., & Olsen, P. T. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1575 · Cited by 97 · see citing works
Quantum galvanomagnetic properties of n-type inversion layers on Si(100) MOSFET
KawajiI, S., & Wakabayashi, J.-I. (1976) · Surface Science · doi:10.1016/0039-6028(76)90144-8 · Cited by 91 · see citing works
Analysis of ρxx minima in surface quantum oscillations on (100) n-type silicon inversion layers
Englert, T., & von Klitzing, K. (1978) · Surface Science · doi:10.1016/0039-6028(78)90471-5 · Cited by 79 · see citing works
Self-citationQuantum galvanomagnetic experiments in silicon inversion layers under strong magnetic fields
Kawaji, S. (1978) · Surface Science · doi:10.1016/0039-6028(78)90470-3 · Cited by 71 · see citing works
Anderson localization in a two dimensional electron system under strong magnetic fields
Aoki, H., & Kamimura, H. (1977) · Solid State Communications · doi:10.1016/0038-1098(77)91475-2 · Cited by 63 · see citing works
Nicholas, R. J., Stradling, R. A., & Tidey, R. J. (1977) · Solid State Communications · doi:10.1016/0038-1098(77)91342-4 · Cited by 56 · see citing works
Magnetic localization in silicon inversion layers
Pepper, M. (1978) · Philosophical Magazine B · doi:10.1080/13642817808245309 · Cited by 43 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 13
- [1]1. For a review see for example: F. Stern, Crit. Rev. Solid State Sci. 5, 499 (19'74);
- [2]2. G. Landwehr, in Ad- vances in SoEid State Physics: I'estkorPerProbleme, edited by H. J. Queisser (Pergamon, New York-Vieweg, Braunschweig, 1975), Vol. 15, p.
- [3]3. T. Ando, J. Phys. Soc. Jpn. 37, 622 (1974).
- [5]5. R. J. Nicholas, R. A. Stradling, and R. J. Tidey, Solid State Commun. 23, 341 (1977).
- [6]6. E. R. Cohen and B. N. Taylor, J. Phys. Chem. Ref. Data 2, 633 (1973).
- [7]7. A. M. Thompson and D. G. Lampard, Nature (London) 177, 888 (1956).
- [8]8. I. Isenberg, B. R. Russel, and F. R. Greene, Rev. Sci. Instrum. 19, 685 (1948).
- [9]9. R. F. Wick, J. Appl. Phys. 25, 741 (1954).
- [10]10. Th. Englert and K. V. Klitzing, Surf. Sci. 73, 71 (1978).
- [11]11. S. Kawaji and J. Wakabayashi, Surf. Sci. 58, 238 (1976).
- [12]12. M. Pepper, Philos. Mag. 378, 83 (1978).
- [13]13. S. Kawaji, Surf. Sci. 73, 46 (1978).
- [14]14. E. R. Williams and P. T. Olsen, Phys. Rev. Lett. 42, 1575 (1979).
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<i>Colloquium</i> : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works
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Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394 · see citing works
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455 · see citing works
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973 · see citing works
Haldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2015 · Cited by 6,301 · see citing works
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Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722 · see citing works
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Schnyder, A. P., Ryu, S., Furusaki, A., & Ludwig, A. W. W. (2008) · Physical Review B · doi:10.1103/physrevb.78.195125 · Cited by 3,322 · see citing works
Photonic Floquet topological insulators
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Observation of unidirectional backscattering-immune topological electromagnetic states
Wang, Z., Chong, Y., Joannopoulos, J. D., & Soljačić, M. (2009) · Nature · doi:10.1038/nature08293 · Cited by 3,123 · see citing works
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547 · see citing works
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Observation of Unconventional Quantum Spin Textures in Topological Insulators
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Realizing effective magnetic field for photons by controlling the phase of dynamic modulation
Fang, K., Yu, Z., & Fan, S. (2012) · Nature Photonics · doi:10.1038/nphoton.2012.236 · Cited by 1,169 · see citing works
The quantum spin Hall effect and topological insulators
Qi, X.-L., & Zhang, S.-C. (2010) · Physics Today · doi:10.1063/1.3293411 · Cited by 1,283 · see citing works
Quantized Hall conductance as a topological invariant
Niu, Q., Thouless, D. J., & Wu, Y.-S. (1985) · Physical Review B · doi:10.1103/physrevb.31.3372 · Cited by 1,136 · see citing works
Topolectrical-circuit realization of topological corner modes
Imhof, S., Berger, C., Bayer, F., Brehm, J., Molenkamp, L. W., Kiessling, T., Schindler, F., Lee, C. H., Greiter, M., Neupert, T., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0246-1 · Cited by 1,034 · see citing works
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Galitski, V., & Spielman, I. B. (2013) · Nature · doi:10.1038/nature11841 · Cited by 963 · see citing works
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Laughlin, R. B., & Pines, D. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.97.1.28 · Cited by 737 · see citing works
Tokura, Y., & Kanazawa, N. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c00297 · Cited by 726 · see citing works
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Lee, C. H., Imhof, S., Berger, C., Bayer, F., Brehm, J., Molenkamp, L. W., Kiessling, T., & Thomale, R. (2018) · Communications Physics · doi:10.1038/s42005-018-0035-2 · Cited by 661 · see citing works
The Quantum Anomalous Hall Effect: Theory and Experiment
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Homotopy and Quantization in Condensed Matter Physics
Avron, J. E., Seiler, R., & Simon, B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.51 · Cited by 600 · see citing works
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Xu, Y., Miotkowski, I., Liu, C., Tian, J., Nam, H., Alidoust, N., Hu, J., Shih, C.-K., Hasan, M. Z., & Chen, Y. P. (2014) · Nature Physics · doi:10.1038/nphys3140 · Cited by 430 · see citing works
Ma, T., Khanikaev, A. B., Mousavi, S. H., & Shvets, G. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.127401 · Cited by 393 · see citing works
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Skirlo, S. A., Lu, L., Igarashi, Y., Yan, Q., Joannopoulos, J., & Soljačić, M. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.253901 · Cited by 347 · see citing works
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Gao, W., Lawrence, M., Yang, B., Liu, F., Fang, F., Béri, B., Li, J., & Zhang, S. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.037402 · Cited by 314 · see citing works
Wang, F., & Ran, Y. (2011) · Physical Review B · doi:10.1103/physrevb.84.241103 · Cited by 307 · see citing works
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Kraus, Y. E., Ringel, Z., & Zilberberg, O. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.226401 · Cited by 262 · see citing works
Chen, W.-J., Xiao, M., & Chan, C. T. (2016) · Nature Communications · doi:10.1038/ncomms13038 · Cited by 258 · see citing works
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Liu, J., & Vanderbilt, D. (2014) · Physical Review B · doi:10.1103/physrevb.90.155316 · Cited by 244 · see citing works
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Li, T., Duca, L., Reitter, M., Grusdt, F., Demler, E., Endres, M., Schleier-Smith, M., Bloch, I., & Schneider, U. (2016) · Science · doi:10.1126/science.aad5812 · Cited by 184 · see citing works
Dirac electronic states in graphene systems: optical spectroscopy studies
Orlita, M., & Potemski, M. (2010) · Semiconductor Science and Technology · doi:10.1088/0268-1242/25/6/063001 · Cited by 183 · see citing works
Evolution of Weyl orbit and quantum Hall effect in Dirac semimetal Cd3As2
Zhang, C., Narayan, A., Lu, S., Zhang, J., Zhang, H., Ni, Z., Yuan, X., Liu, Y., Park, J.-H., Zhang, E., et al. (2017) · Nature Communications · doi:10.1038/s41467-017-01438-y · Cited by 145 · see citing works
Conical diffraction in honeycomb lattices
Ablowitz, M. J., Nixon, S. D., & Zhu, Y. (2009) · Physical Review A · doi:10.1103/physreva.79.053830 · Cited by 109 · see citing works
Topological Nodal Cooper Pairing in Doped Weyl Metals.
Li, Y., & Haldane, F. D. M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.067003 · Cited by 113 · see citing works
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Zhang, C.-L., Xu, S.-Y., Wang, C. M., Lin, Z., Du, Z. Z., Guo, C., Lee, C.-C., Lu, H., Feng, Y., Huang, S.-M., et al. (2017) · Nature Physics · doi:10.1038/nphys4183 · Cited by 105 · see citing works
Weng, H., Dai, X., & Fang, Z. (2014) · MRS Bulletin · doi:10.1557/mrs.2014.216 · Cited by 91 · see citing works
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Lang, N., & Büchler, H. P. (2017) · npj Quantum Information · doi:10.1038/s41534-017-0047-x · Cited by 78 · see citing works
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Liu, X., Xia, S., Jajtić, E., Song, D., Li, D., Tang, L., Leykam, D., Xu, J., Buljan, H., & Chen, Z. (2020) · Nature Communications · doi:10.1038/s41467-020-15374-x · Cited by 45 · see citing works
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Baydin, A., Makihara, T., Peraca, N. M., & Kono, J. (2021) · Frontiers of Optoelectronics · doi:10.1007/s12200-020-1101-4 · Cited by 34 · see citing works
Liu, X., Wang, Z., Xie, X. C., & Yu, Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.125105 · Cited by 13 · see citing works
- Authors
- Klitzing, K. V., Dorda, G., & Pepper, M.
- Affiliations
- Max Planck Society (DE)
- Siemens (Germany) (DE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1980-08-11
- Volume
- 45
- Issue
- 6
- Pages
- 494-497
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2061000251
- Cited by
- 7,119
- References
- 12
- Citations by year
- 2026: 245 · 2025: 365 · 2024: 397 · 2023: 368 · 2022: 386 · 2021: 370 · 2020: 404 · 2019: 326 · 2018: 279 · 2017: 336 · 2016: 273 · 2015: 215 · 2014: 174 · 2013: 213 · 2012: 191
- FWCI
- 137.12
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Scientific Measurement and Uncertainty Evaluation
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Electrical Measurement Techniques
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Keywords
- fine-structure constant, quantized Hall resistance, two-dimensional electron gas, Hall voltage, MOSFET, surface carrier concentration, speed of light, high-accuracy measurement
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