Strongly correlated fractional quantum Hall states: description in terms of weakly interacting composite fermions

J. K. Jain

doi:10.1016/0039-6028(92)90308-S

Strongly correlated fractional quantum Hall states: description in terms of weakly interacting composite fermions

J. K. Jain

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Abstract

This paper reviews a recent theory in which the strongly correlated electron system in the fractional quantum Hall effect (FQHE) is described in terms of weakly interacting composite fermions. It provides trial wavefunctions for all FQHE states. These have the following properties: (i) They provide a very simple way to think about the FQHE. (ii) They have essentially 100% overlap with the exact ground states for few particle systems, (iii) They are the exact ground states of some model Hamiltonians.

Original language	English (US)
Pages (from-to)	65-71
Number of pages	7
Journal	Surface Science
Volume	263
Issue number	1-3
DOIs	https://doi.org/10.1016/0039-6028(92)90308-S
State	Published - Feb 19 1992

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Surfaces and Interfaces
Surfaces, Coatings and Films
Materials Chemistry

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10.1016/0039-6028(92)90308-S

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title = "Strongly correlated fractional quantum Hall states: description in terms of weakly interacting composite fermions",

abstract = "This paper reviews a recent theory in which the strongly correlated electron system in the fractional quantum Hall effect (FQHE) is described in terms of weakly interacting composite fermions. It provides trial wavefunctions for all FQHE states. These have the following properties: (i) They provide a very simple way to think about the FQHE. (ii) They have essentially 100% overlap with the exact ground states for few particle systems, (iii) They are the exact ground states of some model Hamiltonians.",

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

note = "Funding Information: I wish to thank S.A. Kivelson, Nandini Trivedi, V.J. Goldman and G. Dev in whose collaboration parts of the work described here were carried out. I have also greatly benefited from discussions with V. Emery and M. Randeria. This work has been supported in part by the National Science Foundation under grant no. DMR9020637 and by the Alfred P. Sloan Foundation.",

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doi = "10.1016/0039-6028(92)90308-S",

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T2 - description in terms of weakly interacting composite fermions

AU - Jain, J. K.

N1 - Funding Information: I wish to thank S.A. Kivelson, Nandini Trivedi, V.J. Goldman and G. Dev in whose collaboration parts of the work described here were carried out. I have also greatly benefited from discussions with V. Emery and M. Randeria. This work has been supported in part by the National Science Foundation under grant no. DMR9020637 and by the Alfred P. Sloan Foundation.

PY - 1992/2/19

Y1 - 1992/2/19

N2 - This paper reviews a recent theory in which the strongly correlated electron system in the fractional quantum Hall effect (FQHE) is described in terms of weakly interacting composite fermions. It provides trial wavefunctions for all FQHE states. These have the following properties: (i) They provide a very simple way to think about the FQHE. (ii) They have essentially 100% overlap with the exact ground states for few particle systems, (iii) They are the exact ground states of some model Hamiltonians.

AB - This paper reviews a recent theory in which the strongly correlated electron system in the fractional quantum Hall effect (FQHE) is described in terms of weakly interacting composite fermions. It provides trial wavefunctions for all FQHE states. These have the following properties: (i) They provide a very simple way to think about the FQHE. (ii) They have essentially 100% overlap with the exact ground states for few particle systems, (iii) They are the exact ground states of some model Hamiltonians.

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ER -

Strongly correlated fractional quantum Hall states: description in terms of weakly interacting composite fermions

Abstract

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