Girvin-MacDonald-Platzman collective mode at general filling factors: Magneto-roton minimum at half-filled Landau level

K. Park; J. K. Jain

doi:10.1016/S0038-1098(00)00181-2

Girvin-MacDonald-Platzman collective mode at general filling factors: Magneto-roton minimum at half-filled Landau level

K. Park, J. K. Jain

Physics

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

15 Scopus citations

Abstract

The single mode approximation is useful for the excitation spectrum at ν = 1/3. This is applied to general fractions and found that it predicts n magneto-roton minima in the dispersion of the Girvin-MacDonald-Platzman collective mode for the fractional quantum Hall states at ν = n/(2n+1). It is shown that there is one magneto-roton minimum for both the composite Fermi sea and the paired composite fermion state.

Original language	English (US)
Pages (from-to)	353-357
Number of pages	5
Journal	Solid State Communications
Volume	115
Issue number	7
DOIs	https://doi.org/10.1016/S0038-1098(00)00181-2
State	Published - Jul 4 2000

All Science Journal Classification (ASJC) codes

General Chemistry
Condensed Matter Physics
Materials Chemistry

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10.1016/S0038-1098(00)00181-2

Cite this

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title = "Girvin-MacDonald-Platzman collective mode at general filling factors: Magneto-roton minimum at half-filled Landau level",

abstract = "The single mode approximation is useful for the excitation spectrum at ν = 1/3. This is applied to general fractions and found that it predicts n magneto-roton minima in the dispersion of the Girvin-MacDonald-Platzman collective mode for the fractional quantum Hall states at ν = n/(2n+1). It is shown that there is one magneto-roton minimum for both the composite Fermi sea and the paired composite fermion state.",

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

note = "Funding Information: In summary, application of the SMA to CF states has resulted in new experimentally verifiable predictions. This work was supported in part by the National Science Foundation under grant no. DMR-9986806. We thank S.M. Girvin for a helpful comment, the Numerically Intensive Computing Group led by V. Agarwala, J. Holmes, and J. Nucciarone, at the Penn State University CAC for assistance and computing time with the LION-X cluster, and the NCSA Origin 2000 for a grant of computer time.",

year = "2000",

month = jul,

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doi = "10.1016/S0038-1098(00)00181-2",

language = "English (US)",

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pages = "353--357",

journal = "Solid State Communications",

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T1 - Girvin-MacDonald-Platzman collective mode at general filling factors

T2 - Magneto-roton minimum at half-filled Landau level

AU - Park, K.

AU - Jain, J. K.

N1 - Funding Information: In summary, application of the SMA to CF states has resulted in new experimentally verifiable predictions. This work was supported in part by the National Science Foundation under grant no. DMR-9986806. We thank S.M. Girvin for a helpful comment, the Numerically Intensive Computing Group led by V. Agarwala, J. Holmes, and J. Nucciarone, at the Penn State University CAC for assistance and computing time with the LION-X cluster, and the NCSA Origin 2000 for a grant of computer time.

PY - 2000/7/4

Y1 - 2000/7/4

N2 - The single mode approximation is useful for the excitation spectrum at ν = 1/3. This is applied to general fractions and found that it predicts n magneto-roton minima in the dispersion of the Girvin-MacDonald-Platzman collective mode for the fractional quantum Hall states at ν = n/(2n+1). It is shown that there is one magneto-roton minimum for both the composite Fermi sea and the paired composite fermion state.

AB - The single mode approximation is useful for the excitation spectrum at ν = 1/3. This is applied to general fractions and found that it predicts n magneto-roton minima in the dispersion of the Girvin-MacDonald-Platzman collective mode for the fractional quantum Hall states at ν = n/(2n+1). It is shown that there is one magneto-roton minimum for both the composite Fermi sea and the paired composite fermion state.

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U2 - 10.1016/S0038-1098(00)00181-2

DO - 10.1016/S0038-1098(00)00181-2

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SN - 0038-1098

VL - 115

SP - 353

EP - 357

JO - Solid State Communications

JF - Solid State Communications

IS - 7

ER -

Girvin-MacDonald-Platzman collective mode at general filling factors: Magneto-roton minimum at half-filled Landau level

Abstract

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