The role of analogy in unraveling the fractional quantum Hall effect mystery

J. K. Jain

doi:10.1016/j.physe.2003.09.023

The role of analogy in unraveling the fractional quantum Hall effect mystery

J. K. Jain

Physics

Research output: Contribution to journal › Conference article › peer-review

19 Scopus citations

Abstract

The analogy provided by the integral quantum Hall effect (IQHE) that has helped in the understanding of the fractional quantum Hall effect (FQHE) was discussed. The emergence of composite fermions describes the manner in which quantum mechanical phases, in the form of quantized vortices bound to electrons, enter into the physics of the lowest Landau level quantum fluid. The FQHE of electrons is an IQHE of composite fermions. The lowest Landau level quantum fluid is a colossal atom of composite fermions, and the FQHE states are inert atoms containing filled shells.

Original language	English (US)
Pages (from-to)	79-88
Number of pages	10
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	20
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physe.2003.09.023
State	Published - Dec 2003
Event	Proceedings of the International Symposium at Quantum Hall Effect - Stuttgart, Germany Duration: Jul 2 2003 → Jul 5 2003

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

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10.1016/j.physe.2003.09.023

Cite this

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title = "The role of analogy in unraveling the fractional quantum Hall effect mystery",

abstract = "The analogy provided by the integral quantum Hall effect (IQHE) that has helped in the understanding of the fractional quantum Hall effect (FQHE) was discussed. The emergence of composite fermions describes the manner in which quantum mechanical phases, in the form of quantized vortices bound to electrons, enter into the physics of the lowest Landau level quantum fluid. The FQHE of electrons is an IQHE of composite fermions. The lowest Landau level quantum fluid is a colossal atom of composite fermions, and the FQHE states are inert atoms containing filled shells.",

author = "Jain, \{J. K.\}",

note = "Funding Information: I am indebted to Jayanth Banavar for encouraging me to write a simple, non-technical account of the theory of the FQHE. Thanks are due to him, John Collins and Alfred Goldhaber for a careful reading of the manuscript and numerous valuable suggestions, and to G.S. Jeon and V.W. Scarola for help with figures. Partial support by the National Science Foundation under grant no. DMR-0240458 is gratefully acknowledged. ; Proceedings of the International Symposium at Quantum Hall Effect ; Conference date: 02-07-2003 Through 05-07-2003",

year = "2003",

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doi = "10.1016/j.physe.2003.09.023",

language = "English (US)",

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journal = "Physica E: Low-Dimensional Systems and Nanostructures",

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number = "1-2",

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T1 - The role of analogy in unraveling the fractional quantum Hall effect mystery

AU - Jain, J. K.

N1 - Funding Information: I am indebted to Jayanth Banavar for encouraging me to write a simple, non-technical account of the theory of the FQHE. Thanks are due to him, John Collins and Alfred Goldhaber for a careful reading of the manuscript and numerous valuable suggestions, and to G.S. Jeon and V.W. Scarola for help with figures. Partial support by the National Science Foundation under grant no. DMR-0240458 is gratefully acknowledged.

PY - 2003/12

Y1 - 2003/12

N2 - The analogy provided by the integral quantum Hall effect (IQHE) that has helped in the understanding of the fractional quantum Hall effect (FQHE) was discussed. The emergence of composite fermions describes the manner in which quantum mechanical phases, in the form of quantized vortices bound to electrons, enter into the physics of the lowest Landau level quantum fluid. The FQHE of electrons is an IQHE of composite fermions. The lowest Landau level quantum fluid is a colossal atom of composite fermions, and the FQHE states are inert atoms containing filled shells.

AB - The analogy provided by the integral quantum Hall effect (IQHE) that has helped in the understanding of the fractional quantum Hall effect (FQHE) was discussed. The emergence of composite fermions describes the manner in which quantum mechanical phases, in the form of quantized vortices bound to electrons, enter into the physics of the lowest Landau level quantum fluid. The FQHE of electrons is an IQHE of composite fermions. The lowest Landau level quantum fluid is a colossal atom of composite fermions, and the FQHE states are inert atoms containing filled shells.

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U2 - 10.1016/j.physe.2003.09.023

DO - 10.1016/j.physe.2003.09.023

M3 - Conference article

AN - SCOPUS:0344926420

SN - 1386-9477

VL - 20

SP - 79

EP - 88

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 1-2

T2 - Proceedings of the International Symposium at Quantum Hall Effect

Y2 - 2 July 2003 through 5 July 2003

ER -

The role of analogy in unraveling the fractional quantum Hall effect mystery

Abstract

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