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Phys. Rev. Lett. 78, 1114–1117 (1997)

Thermal Conductivity and Lorenz Number for One-Dimensional Ballistic Transport

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Andreas Greiner and Lino Reggiani
Istituto Nazionale di Fisica della Materia, Dipartimento di Scienza dei Materiali, Università di Lecce, Via Arnesano, 73100 Lecce, Italy

Tilmann Kuhn
Institut für Theoretische Physik II, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Strasse 10, 48149 Münster, Germany

Luca Varani
Centre d'Electronique et de Micro-optoélectronique de Montpellier, (CNRS UMR 5507) Université Montpellier II, 34095 Montpellier Cedex 5, France

See Also: Erratum

Received 14 August 1996; published in the issue dated 10 February 1997

We study the thermal conductivity and Lorenz number of charge carriers for one-dimensional ballistic transport within the correlation function formalism. The carrier transit time between two ideal contacts is found to substitute for the collision time in the definition of a ballistic thermal conductivity. A universal thermal conductance K = 2π2kB2T/3h is naturally obtained for the degenerate case. Dispersion curves for the thermal conductivity and the Lorenz number associated with different time scales belonging to the microscopic system are given for the first time.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.1114
DOI:
10.1103/PhysRevLett.78.1114
PACS:
73.23.Ad, 72.10.Bg

See Also

Erratum: Andreas Greiner, Lino Reggiani, Tilmann Kuhn, and Luca Varani, Thermal Conductivity and Lorenz Number for One-Dimensional Ballistic Transport [Phys. Rev. Lett. 78, 1114 (1997)], Phys. Rev. Lett. 79, 2597 (1997).