Four anyons in a harmonic well

M. Sporre; J. J.M. Verbaarschot; I. Zahed

doi:10.1103/PhysRevB.46.5738

Four anyons in a harmonic well

Physics and Astronomy

Stony Brook University

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

28 Scopus citations

Abstract

We construct numerically the spectrum of four anyons in a harmonic potential. As a function of the statistical flux, the anyon spectrum interpolates continuously between bosons and fermions. We show that its generic structure follows from semiclassical arguments. The relation of these results to the spectrum of four anyons in a constant magnetic field is also discussed.

Original language	English
Pages (from-to)	5738-5741
Number of pages	4
Journal	Physical Review B
Volume	46
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevB.46.5738
State	Published - 1992

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10.1103/PhysRevB.46.5738

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title = "Four anyons in a harmonic well",

abstract = "We construct numerically the spectrum of four anyons in a harmonic potential. As a function of the statistical flux, the anyon spectrum interpolates continuously between bosons and fermions. We show that its generic structure follows from semiclassical arguments. The relation of these results to the spectrum of four anyons in a constant magnetic field is also discussed.",

author = "M. Sporre and Verbaarschot, \{J. J.M.\} and I. Zahed",

year = "1992",

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AU - Sporre, M.

AU - Verbaarschot, J. J.M.

AU - Zahed, I.

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Y1 - 1992

N2 - We construct numerically the spectrum of four anyons in a harmonic potential. As a function of the statistical flux, the anyon spectrum interpolates continuously between bosons and fermions. We show that its generic structure follows from semiclassical arguments. The relation of these results to the spectrum of four anyons in a constant magnetic field is also discussed.

AB - We construct numerically the spectrum of four anyons in a harmonic potential. As a function of the statistical flux, the anyon spectrum interpolates continuously between bosons and fermions. We show that its generic structure follows from semiclassical arguments. The relation of these results to the spectrum of four anyons in a constant magnetic field is also discussed.

UR - https://www.scopus.com/pages/publications/0011323146

U2 - 10.1103/PhysRevB.46.5738

DO - 10.1103/PhysRevB.46.5738

M3 - Article

AN - SCOPUS:0011323146

SN - 0163-1829

VL - 46

SP - 5738

EP - 5741

JO - Physical Review B

JF - Physical Review B

IS - 9

ER -

Four anyons in a harmonic well

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