Evolution of the second lowest extended state as a function of the effective magnetic field in the fractional quantum Hall regime

Tse Ming Chen; C. T. Liang; M. Y. Simmons; D. A. Ritchie; M. Pepper

Evolution of the second lowest extended state as a function of the effective magnetic field in the fractional quantum Hall regime

Tse Ming Chen, C. T. Liang, M. Y. Simmons, D. A. Ritchie, M. Pepper

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

It has been shown that, at a Landau level filling factor v=1/2, a two-dimensional electron system can be mathematically transformed into a composite fermion system interacting with a Chern-Simons gauge field. At v=1/2. the average of this Chern-Simons gauge field cancels the external magnetic field B_ext so that the effective magnetic field B_eff acting on the composite fermions is zero. Away from v=1/2, the composite fermions experience a net effective magnetic field B_eff. We present the first study of the evolution of the second lowest extended state in a vanishing effective magnetic field in the fractional quantum Hall regime. Our result shows that the evolution of the second lowest extended state has a good linear dependence on the effective magnetic field B_eff within the composite fermion picture.

Original language	English
Pages (from-to)	307-311
Number of pages	5
Journal	Chinese Journal of Physics
Volume	42
Issue number	3
Publication status	Published - 2004 Jun

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Cite this

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title = "Evolution of the second lowest extended state as a function of the effective magnetic field in the fractional quantum Hall regime",

abstract = "It has been shown that, at a Landau level filling factor v=1/2, a two-dimensional electron system can be mathematically transformed into a composite fermion system interacting with a Chern-Simons gauge field. At v=1/2. the average of this Chern-Simons gauge field cancels the external magnetic field Bext so that the effective magnetic field Beff acting on the composite fermions is zero. Away from v=1/2, the composite fermions experience a net effective magnetic field Beff. We present the first study of the evolution of the second lowest extended state in a vanishing effective magnetic field in the fractional quantum Hall regime. Our result shows that the evolution of the second lowest extended state has a good linear dependence on the effective magnetic field Beff within the composite fermion picture.",

author = "Chen, {Tse Ming} and Liang, {C. T.} and Simmons, {M. Y.} and Ritchie, {D. A.} and M. Pepper",

year = "2004",

month = jun,

language = "English",

volume = "42",

pages = "307--311",

journal = "Chinese Journal of Physics",

issn = "0577-9073",

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T1 - Evolution of the second lowest extended state as a function of the effective magnetic field in the fractional quantum Hall regime

AU - Chen, Tse Ming

AU - Liang, C. T.

AU - Simmons, M. Y.

AU - Ritchie, D. A.

AU - Pepper, M.

PY - 2004/6

Y1 - 2004/6

N2 - It has been shown that, at a Landau level filling factor v=1/2, a two-dimensional electron system can be mathematically transformed into a composite fermion system interacting with a Chern-Simons gauge field. At v=1/2. the average of this Chern-Simons gauge field cancels the external magnetic field Bext so that the effective magnetic field Beff acting on the composite fermions is zero. Away from v=1/2, the composite fermions experience a net effective magnetic field Beff. We present the first study of the evolution of the second lowest extended state in a vanishing effective magnetic field in the fractional quantum Hall regime. Our result shows that the evolution of the second lowest extended state has a good linear dependence on the effective magnetic field Beff within the composite fermion picture.

AB - It has been shown that, at a Landau level filling factor v=1/2, a two-dimensional electron system can be mathematically transformed into a composite fermion system interacting with a Chern-Simons gauge field. At v=1/2. the average of this Chern-Simons gauge field cancels the external magnetic field Bext so that the effective magnetic field Beff acting on the composite fermions is zero. Away from v=1/2, the composite fermions experience a net effective magnetic field Beff. We present the first study of the evolution of the second lowest extended state in a vanishing effective magnetic field in the fractional quantum Hall regime. Our result shows that the evolution of the second lowest extended state has a good linear dependence on the effective magnetic field Beff within the composite fermion picture.

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JO - Chinese Journal of Physics

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Evolution of the second lowest extended state as a function of the effective magnetic field in the fractional quantum Hall regime

Abstract

All Science Journal Classification (ASJC) codes

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