Generalized exclusion statistics and degenerate signature of strongly interacting anyons
نویسندگان
چکیده
منابع مشابه
Fractional exclusion statistics and anyons.
Do anyons, dynamically realized by the field theoretic Chern-Simons construction, obey fractional exclusion statistics? We find that they do if the statistical interaction between anyons and anti-anyons is taken into account. For this anyon model, we show perturbatively that the exchange statistical parameter of anyons is equal to the exclusion statistical parameter. We obtain the same result b...
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We analytically calculate some thermodynamic quantities of an ideal g-on gas obeying generalized exclusion statistics. We show that the specific heat of a g-on gas (g 6= 0) vanishes linearly in any dimension as T → 0 when the particle number is conserved and exhibits an interesting dual symmetry that relates the particle-statistics at g to the hole-statistics at 1/g at low temperatures. We deri...
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We show that fractional exclusion statistics is manifested in general in interacting systems and we discuss the conjecture recently introduced (J. Phys. A: Math. Theor. 40, F1013, 2007), according to which if in a thermodynamic system the mutual exclusion statistics parameters are not zero, then they have to be proportional to the dimension of the Hilbert space on which they act. By using simpl...
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A microscopic formulation of Haldane’s exclusions statistics is given in terms of a priori occupation probabilities of states. It is shown that negative probabilities are always necessary to reproduce fractional statistics. Based on this formulation, a path-integral realization for systems with exclusion statistics is derived. This has the advantage of being generalizable to interacting systems...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2006
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.74.195121