TY - JOUR

T1 - Fractional spin for quantum Hall effect quasiparticles

AU - Einarsson, T.

AU - Sondhi, S. L.

AU - Girvin, S. M.

AU - Arovas, D. P.

N1 - Funding Information:
We thank E Elmfors, E. Fradkin, A. GoldhaberT, .H. Hansson,S . Kivelson,a nd M. Stone for valuabled iscussionsT. his work was supportedin part by the Swedish NaturalS cienceR esearchC ouncil(TE), by NSF grantsN os.D MR-9122385a ndD MR-9157018( SLS), DMR-9416906( SMG), and DMR-8957993(D PA).

PY - 1995/5/15

Y1 - 1995/5/15

N2 - We investigate the issue of whether quasiparticles in the fractional quantum Hall effect possess a fractional intrinsic spin. The presence of such a spin S is suggested by the spin-statistics relation S = θ/2π, with θ being the statistical angle, and, on a sphere, is required for consistent quantization of one or more quasiparticles. By performing Berry-phase calculations for quasiparticles on a sphere we find that there are two terms, of different origin, that couple to the curvature and can be interpreted as parts of the quasiparticle spin. One, due to self-interaction, has the same value for both the quasihole and quasielectron, and fulfills the spin-statistics relation. The other is a kinematical effect and has opposite signs for the quasihole and quasielectron. The total spin thus agrees with a generalized spin-statistics theorem 1 2 (Sqh + Sqe) = θ/2π. On the plane, we do not find any corresponding terms.

AB - We investigate the issue of whether quasiparticles in the fractional quantum Hall effect possess a fractional intrinsic spin. The presence of such a spin S is suggested by the spin-statistics relation S = θ/2π, with θ being the statistical angle, and, on a sphere, is required for consistent quantization of one or more quasiparticles. By performing Berry-phase calculations for quasiparticles on a sphere we find that there are two terms, of different origin, that couple to the curvature and can be interpreted as parts of the quasiparticle spin. One, due to self-interaction, has the same value for both the quasihole and quasielectron, and fulfills the spin-statistics relation. The other is a kinematical effect and has opposite signs for the quasihole and quasielectron. The total spin thus agrees with a generalized spin-statistics theorem 1 2 (Sqh + Sqe) = θ/2π. On the plane, we do not find any corresponding terms.

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U2 - 10.1016/0550-3213(95)00025-N

DO - 10.1016/0550-3213(95)00025-N

M3 - Article

AN - SCOPUS:0042065833

SN - 0550-3213

VL - 441

SP - 515

EP - 529

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -