1998/10/02 by Luis G. C. Rego, Luís G. C. Rego, George Kirczenow · 97 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Ballistic conduction #Condensed matter physics #Conductance #Conductance quantum #Contrast (vision) #Degenerate energy levels #Electron #Graphene research and applications #Low-power high-performance VLSI design #Mathematics #Phonon #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum well #Statistical physics #Statistics #Thermal conduction #Thermal conductivity #Work (physics) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.59.13080
published in Physical review. B, Condensed matter 59(20), 13080-13086 (American Physical Society) · 7 pages (Tex source file) + 2 ps figures
arxiv created 1998/10/02 · openalex publication_date 1999/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a generalized approach to one-dimensional (1D) conduction based on Haldane's [Phys. Rev. Lett. 67, 937 (1991)] concept of fractional exclusion statistics (FES) and the Landauer formulation [IBM J. Res. Dev. 1, 223 (1957); Phys. Lett. 85A, 91 (1981)] 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 \ensuremathκuniv=(\ensuremathπ2/3)(kB2T/h) 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.