Resonant Tunneling in the Quantum Hall Regime: Measurement of Fractional Charge
Abstract
In experiments on resonant tunneling through a "quantum antidot" (a potential hill) in the quantum Hall (QH) regime, periodic conductance peaks were observed as a function of both magnetic field and back gate voltage. A combination of the two periods constitutes a measurement of the charge of the tunneling particles and implies that charge deficiency on the antidot is quantized in units of the charge of quasi-particles of the surrounding QH condensate. The experimentally determined value of the electron charge e is 1.57 × 10–19 coulomb = (0.98 ± 0.03)e for the states ν = 1 and ν = 2 of the integer QH effect, and the quasi-particle charge is 5.20 × 10–20 coulomb = (0.325 ± 0.01)e for the state ν = 1/3 of the fractional QH effect.
References
CHANG, A.M., TRANSMISSION AND REFLECTION PROBABILITIES BETWEEN THE V=1 AND THE V=2/3 QUANTUM HALL-EFFECTS, SURFACE SCIENCE 229: 216 (1990).
CLARK, R.G., EXPERIMENTAL-DETERMINATION OF FRACTIONAL CHARGE E/Q FOR QUASIPARTICLE EXCITATIONS IN THE FRACTIONAL QUANTUM HALL-EFFECT, PHYSICAL REVIEW LETTERS 60: 1747 (1988).
FENG, S.C., LITTLE-PARKS AND AHARONOV-BOHM OSCILLATIONS IN FRACTIONAL HALL REGIME - MANIFESTATION OF CHERN-SIMONS GAUGE FLUX, PHYSICAL REVIEW LETTERS 71: 3533 (1993).
GOLDMAN, V.J., NATURE OF THE EXTENDED STATES IN THE FRACTIONAL QUANTUM HALL-EFFECT, PHYSICAL REVIEW LETTERS 65: 907 (1990).
HALPERIN, B.I., QUANTIZED HALL CONDUCTANCE, CURRENT-CARRYING EDGE STATES, AND THE EXISTENCE OF EXTENDED STATES IN A TWO-DIMENSIONAL DISORDERED POTENTIAL, PHYSICAL REVIEW B 25: 2185 (1982).
HALPERIN, B.I., STATISTICS OF QUASIPARTICLES AND THE HIERARCHY OF FRACTIONAL QUANTIZED HALL STATES, PHYSICAL REVIEW LETTERS 52: 1583 (1984).
HAUG, R.J., QUANTIZED MULTICHANNEL MAGNETOTRANSPORT THROUGH A BARRIER IN 2 DIMENSIONS, PHYSICAL REVIEW LETTERS 61: 2797 (1988).
JAIN, J.K., HIERARCHY OF STATES IN THE FRACTIONAL QUANTUM HALL-EFFECT, PHYSICAL REVIEW B 45: 1255 (1992).
JAIN, J.K., QUANTUM HALL-EFFECT IN QUASI ONE-DIMENSIONAL SYSTEMS - RESISTANCE FLUCTUATIONS AND BREAKDOWN, PHYSICAL REVIEW LETTERS 60: 1542 (1988).
JAIN, J.K., COMPOSITE-FERMION APPROACH FOR THE FRACTIONAL QUANTUM HALL-EFFECT, PHYSICAL REVIEW LETTERS 63: 199 (1989).
JAIN, J.K., PROPOSED MEASUREMENT OF AN EFFECTIVE FLUX QUANTUM IN THE FRACTIONAL QUANTUM HALL-EFFECT, PHYSICAL REVIEW LETTERS 71: 3003 (1993).
KIVELSON, S, CONSEQUENCES OF GAUGE-INVARIANCE FOR FRACTIONALLY CHARGED QUASI-PARTICLES, PHYSICS LETTERS B 156: 85 (1985).
KIVELSON, S, SEMICLASSICAL THEORY OF LOCALIZED MANY-ANYON STATES, PHYSICAL REVIEW LETTERS 65: 3369 (1990).
KIVELSON, S.A., METHODS TO MEASURE THE CHARGE OF THE QUASIPARTICLES IN THE FRACTIONAL QUANTUM HALL-EFFECT, PHYSICAL REVIEW B 40: 1373 (1989).
Landau, L. D., Electrodynamics of Continuous Media 2 CH1 (1984).
LAUGHLIN, R.B., CURRENT STATUS OF SEMIONIC PAIRING THEORY OF HIGH-TC SUPERCONDUCTORS, INTERNATIONAL JOURNAL OF MODERN PHYSICS B 5: 1507 (1991).
LAUGHLIN, R.B., QUANTIZED HALL CONDUCTIVITY IN 2 DIMENSIONS, PHYSICAL REVIEW B 23: 5632 (1981).
LAUGHLIN, R.B., ANOMALOUS QUANTUM HALL-EFFECT - AN INCOMPRESSIBLE QUANTUM FLUID WITH FRACTIONALLY CHARGED EXCITATIONS, PHYSICAL REVIEW LETTERS 50: 1395 (1983).
SIMMONS, J.A., RESISTANCE FLUCTUATIONS IN THE INTEGRAL-QUANTUM-HALL-EFFECT AND FRACTIONAL-QUANTUM-HALL-EFFECT REGIMES, PHYSICAL REVIEW B 44: 12933 (1991).
SIMMONS, J.A., RESISTANCE FLUCTUATIONS IN NARROW ALGAAS GAAS HETEROSTRUCTURES - DIRECT EVIDENCE OF FRACTIONAL CHARGE IN THE FRACTIONAL QUANTUM HALL-EFFECT, PHYSICAL REVIEW LETTERS 63: 1731 (1989).
SIMPSON, P.J., CHARGE OSCILLATIONS IN EDGE STATES AND DOUBLE-FREQUENCY AHARONOV-BOHM EFFECTS AROUND A TUNABLE OBSTACLE, SURFACE SCIENCE 305: 453 (1994).
TSUI, D.C., TWO-DIMENSIONAL MAGNETOTRANSPORT IN THE EXTREME QUANTUM LIMIT, PHYSICAL REVIEW LETTERS 48: 1559 (1982).
VANWEES, B.J., OBSERVATION OF ZERO-DIMENSIONAL STATES IN A ONE-DIMENSIONAL ELECTRON INTERFEROMETER, PHYSICAL REVIEW LETTERS 62: 2523 (1989).
VONKLITZING, K, NEW METHOD FOR HIGH-ACCURACY DETERMINATION OF THE FINE-STRUCTURE CONSTANT BASED ON QUANTIZED HALL RESISTANCE, PHYSICAL REVIEW LETTERS 45: 494 (1980).
WASHBURN, S, QUANTIZED HALL-EFFECT IN THE PRESENCE OF BACKSCATTERING, PHYSICAL REVIEW LETTERS 61: 2801 (1988).
WEN, X.G., THEORY OF THE EDGE STATES IN FRACTIONAL QUANTUM HALL-EFFECTS, INTERNATIONAL JOURNAL OF MODERN PHYSICS B 6: 1711 (1992).
Get full access to this article
View all available purchase options and get full access to this article.
Already a Subscriber?Sign In
Information & Authors
Information
Published In

Science
Volume 267 | Issue 5200
17 February 1995
17 February 1995
Copyright
1995 by the American Association for the Advancement of Science.
Submission history
Received: 7 October 1994
Accepted: 6 December 1994
Published in print: 17 February 1995
Authors
Metrics & Citations
Metrics
Article Usage
Altmetrics
Citations
Export citation
Select the format you want to export the citation of this publication.
Cited by
- Quasi-Particle Properties from Tunneling in the v = 5/2 Fractional Quantum Hall State, Science, 320, 5878, (899-902), (2021)./doi/10.1126/science.1157560
- Localization of Fractionally Charged Quasi-Particles, Science, 305, 5686, (980-983), (2021)./doi/10.1126/science.1099950
- Fractional Charges in an Interacting Electron System, Science, 267, 5200, (977-978), (1995)./doi/10.1126/science.267.5200.977
Loading...
View Options
Get Access
Log in to view the full text
AAAS login provides access to Science for AAAS Members, and access to other journals in the Science family to users who have purchased individual subscriptions.
- Become a AAAS Member
- Activate your AAAS ID
- Purchase Access to Other Journals in the Science Family
- Account Help
Log in via OpenAthens.
Log in via Shibboleth.
More options
Purchase digital access to this article
Download and print this article for your personal scholarly, research, and educational use.
Buy a single issue of Science for just $15 USD.
View options
PDF format
Download this article as a PDF file
Download PDF





