TY - JOUR
T1 - Fractional statistics in arbitrary dimensions
T2 - A generalization of the Pauli principle
AU - Haldane, F. D.M.
PY - 1991
Y1 - 1991
N2 - The concept of fractional statistics is reformulated as a generalization of the Pauli exclusion principle, and a definition independent of the dimension of space is obtained. When applied to the vortexlike quasiparticles of the fractional quantum Hall effect, it gives the same result as that based on the braid-group. It is also used to classify spinons in gapless spin-1/2 antiferromagnetic chains as semions. An extensive one-particle Hilbert-space dimension is essential, limiting fractional statistics of this type to topological excitations confined to the interior of condensed matter. The new definition does not apply to anyon gas models as currently formulated: A possible resolution of this difficulty is proposed.
AB - The concept of fractional statistics is reformulated as a generalization of the Pauli exclusion principle, and a definition independent of the dimension of space is obtained. When applied to the vortexlike quasiparticles of the fractional quantum Hall effect, it gives the same result as that based on the braid-group. It is also used to classify spinons in gapless spin-1/2 antiferromagnetic chains as semions. An extensive one-particle Hilbert-space dimension is essential, limiting fractional statistics of this type to topological excitations confined to the interior of condensed matter. The new definition does not apply to anyon gas models as currently formulated: A possible resolution of this difficulty is proposed.
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U2 - 10.1103/PhysRevLett.67.937
DO - 10.1103/PhysRevLett.67.937
M3 - Article
C2 - 10045028
AN - SCOPUS:4344564550
SN - 0031-9007
VL - 67
SP - 937
EP - 940
JO - Physical review letters
JF - Physical review letters
IS - 8
ER -