Fractional Exclusion Statistics and the Universal Quantum of Thermal Conductance: A Unifying Approach

Details Fractional Exclusion Statistics and the Universal Quantum of Thermal Conductance: A Unifying Approach Fractional Exclusion Statistics and the Universal Quantum of Thermal Conductance: A Unifying Approach

1998-10-02

arxiv.org/abs/cond-mat/9810016v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages (Tex source file) + 2 ps figures

Scientific paper

10.1103/PhysRevB.59.13080

We introduce a generalized approach to one-dimensional (1D) conduction based on Haldane's concept of fractional statistics (FES) and the Landauer formulation of transport theory. We show that the 1D ballistic thermal conductance is independent of the statistics obeyed by the carriers and is governed by the universal quantum $ (\pi^2 k^2_B T)/(3h) $ in the degenerate regime. By contrast, the electrical conductance of FES systems is statistics-dependent. This work unifies previous theories of electron and phonon systems and explains an interesting commonality in their behavior.

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