Fractionalization of Charge and Statistics in Two Dimensions

By Michael J. Manfra

Department of Physics and Astronomy, Purdue University, West Lafayette, IN

Published on

Abstract

This lecture will focus on the development of experiments that allow the first direct observation of anyonic braiding statistics in the fractional quantum Hall regime. The connection between development of new theoretical concepts and the behavior of a humble transistor will be emphasized.

Bio

Michael Manfra Michael Manfra is the Bill and Dee O'Brien Distinguished Professor of Physics and Astronomy, Professor of Material Science Engineering, and Professor of Electrical and Computer Engineering at Purdue University. Mike received his A.B. degree from Harvard in 1992 followed by his M.S. in 1994 and PhD from Boston University in 1999. Mike spent 2 years as a Postdoctoral Member of the Technical Staff at Bell Laboratories, Lucent Technologies and in 2001 became a member of the Technical Staff of Bell Laboratories where he carried out research in low dimensional electron systems. In 2009 Manfra moved to Purdue as the William F. and Patty J. Miller Associate Professor of Physics and Astronomy, Materials Engineering, and Electrical and Computer Engineering. Mike was a Keck Foundation awardee in 2013 and was promoted to Full Professor in the same year. He was named a University Faculty Scholar in 2013. He was elected a Fellow of the American Physical Society in 2015 and in 2016 became the Director of Microsoft Quantum Lab Purdue, one of a small handful of Microsoft Quantum Laboratories around the globe. Since 2018 he is a member of the Birck Faculty Leadership Council. In 2020 Mike became a Distinguished Professor of Physics and Astronomy.

Cite this work

Researchers should cite this work as follows:

  • Michael J. Manfra (2022), "Fractionalization of Charge and Statistics in Two Dimensions," https://nanohub.org/resources/36743.

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Time

Location

PHYS 112, Purdue University, West Lafayette, IN

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Fractionalization of Charge and Statistics in Two Dimensions
  • Fractionalization of charge and statistics in two dimensions 1. Fractionalization of charge an… 0
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  • The Transistor - 1947 2. The Transistor - 1947 400.16683350016683
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  • Bell Laboratories (circa 2008) 3. Bell Laboratories (circa 2008) 652.25225225225233
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  • Karl Lark-Horowitz Purdue Department of Physics, 1928-1958 4. Karl Lark-Horowitz Purdue Depa… 883.58358358358362
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  • Clinton Davisson, Nobel Prize 1937 Electrons behave as 5. Clinton Davisson, Nobel Prize … 1181.4814814814815
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  • Semiconductor Physics Department early 6. Semiconductor Physics Departme… 1440.7741074407741
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  • Dan Tsui's Contribution to Purdue Physics and Astronomy 7. Dan Tsui's Contribution to Pur… 1611.4114114114116
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  • Elementary particles 8. Elementary particles 1803.3033033033034
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  • Excitations of the FQHE are anyons: fractional charge and statistics 9. Excitations of the FQHE are an… 2027.7610944277612
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  • Early analysis of fractional statistics and the FQHE 10. Early analysis of fractional s… 2470.9042375709041
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  • Functional Statistics and the Quantum Hall Effect 11. Functional Statistics and the … 2559.3927260593928
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  • Dr. James Nakamura 12. Dr. James Nakamura 2579.8465131798466
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  • The key to low dimensional electron systems is the insulator-semiconductor heterointerface 13. The key to low dimensional ele… 2630.730730730731
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  • Electronic Fabry-Perot interferometry in the Quantum Hall regime 14. Electronic Fabry-Perot interfe… 2749.1157824491161
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  • Early Experiments: Challenges and Clues 15. Early Experiments: Challenges … 3031.131131131131
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  • AB vs. CD in early experiments: a valuable lesson 16. AB vs. CD in early experiments… 3070.07007007007
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  • Aharonov-Bohm vs. Coulomb-Dominated regimes 17. Aharonov-Bohm vs. Coulomb-Domi… 3141.8084751418087
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  • Our contribution: new heterostructure and device design 18. Our contribution: new heterost… 3175.9759759759759
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  • Top and back-gated interferometer operation 19. Top and back-gated interferome… 3255.321988655322
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  • Top and back-gated interferometer operation 20. Top and back-gated interferome… 3325.7590924257593
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  • Top and back-gated interferometer operation 21. Top and back-gated interferome… 3329.4961628294964
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  • Untitled: Slide 22 22. Untitled: Slide 22 3338.6052719386053
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  • In-situ screening wells enable Aharonov-Bohm oscillations 23. In-situ screening wells enable… 3361.0944277610947
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  • Aharonov-Bohm interference at n = 1/3 FQHE state 24. Aharonov-Bohm interference at … 3378.2782782782783
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  • Theoretical analysis: transition from incompressible to compressible droplet 25. Theoretical analysis: transiti… 3404.3710377043712
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  • New round of experiments with modified devices: reduce size and reduce 2DEG density 26. New round of experiments with … 3411.8451785118455
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  • Observation of discrete phase slips at 𝝂=𝟏/𝟑 27. Observation of discrete phase … 3427.1604938271607
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  • Enhance bulk-edge interaction to understand couplings and probe anyon response 28. Enhance bulk-edge interaction … 3479.612946279613
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  • Interference at 𝝂= 𝟏 𝟑 in 800nm x 800nm Fabry-Perot interferometer 29. Interference at 𝝂= 𝟏 … 3480.5805805805808
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  • REACTION OF RESEARCH COMMUNITY 30. REACTION OF RESEARCH COMMUNITY 3529.6296296296296
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  • Dr. James Nakamura: 2019 Karl Lark-Horovitz Award, Purdue Physics and Astronomy 2022 Lee-Osheroff-Richardson Science Prize (sponsored by Oxford Instruments) 31. Dr. James Nakamura: 2019 Karl … 3548.6820153486819
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  • Opportunities at Purdue – Birck Nanotechnology Center 32. Opportunities at Purdue – Bi… 3590.9576242909579
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  • Summary and Outlook 33. Summary and Outlook 3674.2409075742412
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  • Purdue Team 34. Purdue Team 3703.1031031031034
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