Lattice propagators and Haldane-Wu fractional statistics
نویسندگان
چکیده
منابع مشابه
Combinatorial interpretation of Haldane-Wu fractional exclusion statistics.
Assuming that the maximal allowed number of identical particles in a state is an integer parameter, q, we derive the statistical weight and analyze the associated equation that defines the statistical distribution. The derived distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases q=1 and q--> infinity (n(i)/q-->1), respectively. We show that the derived statistical weig...
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We have tested Haldane's " fractional-Pauli-principle " description of excita-tions around the ν = 1/3 state in the FQHE, using exact results for small systems of electrons. We find that Haldane's prediction β = ±1/m for quasi-holes and quasiparticles, respectively, describes our results well with the modification β qp = 2 − 1/3 rather than −1/3. We also find that this approach enables us to be...
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We show that Haldanes new definition of statistics, when generalised to infinite dimensional Hilbert spaces, is equal to the high temperature limit of the second virial coefficient. We thus show that this exclusion statistics parameter, g , of anyons is non-trivial and is completely determined by its exchange statistics parameter α. We also compute g for quasiparticles in the Luttinger model an...
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We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium situation, this leads to the " golden rule " factor for quantum transitions. As an application of this, we calculate the density response function of a one-dimensional electron gas in a periodic potential, assuming that ...
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The discussion of Fractional dimensional Hilbert spaces in the context of Haldane exclusion statistics is extended from the case [10] of g = 1/p for the statistical parameter to the case of rational g = q/p with q, p-coprime positive integers. The corresponding statistical mechanics for a gas of such particles is constructed. This procedure is used to define the statistical mechanics for partic...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2018
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/122/10002