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Phys. Rev. Lett. 85, 2781–2784 (2000)

Interacting Particles as neither Bosons nor Fermions: A Microscopic Origin for Fractional Exclusion Statistics

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Kazumoto Iguchi1,* and Bill Sutherland2,†
170-3 Shinhari, Hari, Anan, Tokushima 774-0003, Japan
2Department of Physics, University of Utah, Salt Lake City, Utah 84112-0830

Received 17 December 1999; published in the issue dated 25 September 2000

We study a quantum liquid of particles interacting via a long-ranged two-body potential in three dimensions where the original particles are supposed to be either bosons or fermions. We show that such liquids exhibit the nature of a quantum liquid with fractional exclusion statistics. In both quantum liquids enlarged pseudo-Fermi surfaces are formed from bosons and fermions, although with different excitations. Hence, we conclude that the microscopic origin of exclusion statistics comes from the nature of long-ranged two-body interactions between the particles.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.2781
DOI:
10.1103/PhysRevLett.85.2781
PACS:
05.30.Pr, 71.10.Pm

*Email address: kazumoto@stannet.ne.jp

Email address: suther@physics.utah.edu