Random-Phase Approximation in the Fractional-Statistics Gas

A. L. Fetter; Charles B. Hanna; R. B. Laughlin

doi:10.1103/PhysRevB.39.9679

Random-Phase Approximation in the Fractional-Statistics Gas

A. L. Fetter, Charles B. Hanna, R. B. Laughlin

Stanford University

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

369 Scopus citations

Abstract

The random-phase approximation for a gas of particles obeying (1/2 fractional statistics, in the context of Feynman perturbation theory performed in the fermion representation, is shown to yield a gauge-invariant Meissner effect with full screening in the ground state, a coherence length comparable with the interparticle spacing, and a linearly dispersing undamped collective mode.

Original language	American English
Article number	9679(R)
Journal	Physical Review B
Volume	39
Issue number	13
DOIs	https://doi.org/10.1103/PhysRevB.39.9679
State	Published - 1 May 1989
Externally published	Yes

EGS Disciplines

Physics

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10.1103/PhysRevB.39.9679

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title = "Random-Phase Approximation in the Fractional-Statistics Gas",

abstract = " The random-phase approximation for a gas of particles obeying (1/2 fractional statistics, in the context of Feynman perturbation theory performed in the fermion representation, is shown to yield a gauge-invariant Meissner effect with full screening in the ground state, a coherence length comparable with the interparticle spacing, and a linearly dispersing undamped collective mode.",

author = "Fetter, \{A. L.\} and Hanna, \{Charles B.\} and Laughlin, \{R. B.\}",

year = "1989",

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doi = "10.1103/PhysRevB.39.9679",

language = "American English",

volume = "39",

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T1 - Random-Phase Approximation in the Fractional-Statistics Gas

AU - Fetter, A. L.

AU - Hanna, Charles B.

AU - Laughlin, R. B.

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Y1 - 1989/5/1

N2 - The random-phase approximation for a gas of particles obeying (1/2 fractional statistics, in the context of Feynman perturbation theory performed in the fermion representation, is shown to yield a gauge-invariant Meissner effect with full screening in the ground state, a coherence length comparable with the interparticle spacing, and a linearly dispersing undamped collective mode.

AB - The random-phase approximation for a gas of particles obeying (1/2 fractional statistics, in the context of Feynman perturbation theory performed in the fermion representation, is shown to yield a gauge-invariant Meissner effect with full screening in the ground state, a coherence length comparable with the interparticle spacing, and a linearly dispersing undamped collective mode.

U2 - 10.1103/PhysRevB.39.9679

DO - 10.1103/PhysRevB.39.9679

M3 - Article

VL - 39

JO - Physical Review B

JF - Physical Review B

IS - 13

M1 - 9679(R)

ER -

Random-Phase Approximation in the Fractional-Statistics Gas

Abstract

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