110 research outputs found
Fermionic behavior of ideal anyons
We prove upper and lower bounds on the ground-state energy of the ideal
two-dimensional anyon gas. Our bounds are extensive in the particle number, as
for fermions, and linear in the statistics parameter . The lower bounds
extend to Lieb-Thirring inequalities for all anyons except bosons.Comment: 16 page
Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics
In one and two spatial dimensions there is a logical possibility for
identical quantum particles different from bosons and fermions, obeying
intermediate or fractional (anyon) statistics. We consider applications of a
recent Lieb-Thirring inequality for anyons in two dimensions, and derive new
Lieb-Thirring inequalities for intermediate statistics in one dimension with
implications for models of Lieb-Liniger and Calogero-Sutherland type. These
inequalities follow from a local form of the exclusion principle valid for such
generalized exchange statistics.Comment: Revised and accepted version. 49 pages, 2 figure
Spin(9) Average of SU(N) Matrix Models I. Hamiltonian
We apply a method of group averaging to states and operators appearing in
(truncations of) the Spin(9) x SU(N) invariant matrix models. We find that
there is an exact correspondence between the standard supersymmetric
Hamiltonian and the Spin(9) average of a relatively simple lower-dimensional
model.Comment: 11 page
Properties of 2D anyon gas
An overview is given of the 2D many-anyon gas, including its definition (both
for ideal and certain less-than-ideal particles, as well as for abelian and
nonabelian braid group representations), its corresponding known properties
starting out from the intricate relationship between exchange and exclusion, as
well as its emergence from bosons and/or fermions in 3D.Comment: Invited contribution to the Encyclopedia of Condensed Matter Physics,
2nd edition. Revised bibliography & minor corrections. 31 pages, 14 figure
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