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, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -