- Conference date: 10-16 July 2004
- Location: Bari (Italy)
We present a direct solution method to the Bloch‐Boltzmann‐Peierls equations governing the transport of carriers and optical phonons in semiconductors. This approach is based on a multigroup formulation of the original equations, which still contains both the full quantum statistics of carriers and phonons and a very general description of the carrier band structure. It allows the investigation of the particle distributions of arbitrary anisotropies with respect to a main direction. Concerning the mathematical properties of the deduced transport model, we prove a Boltzmann H‐theorem for the obtained evolution equations. The equilibrium solution of the multigroup model is compared with that of the original Bloch‐Boltzmann‐Peierls equations. Numerical results are given for relaxation processes of hot electrons and hot phonons.
- Boltzmann equations
- Transport properties
- Anisotropic optical materials
- Band structure
Daniel Baumann, Mark G. Jackson, Peter Adshead, Alexandre Amblard, Amjad Ashoorioon, Nicola Bartolo, Rachel Bean, Maria Beltrán, Francesco de Bernardis, Simeon Bird, Xingang Chen, Daniel J. H. Chung, Loris Colombo, Asantha Cooray, Paolo Creminelli, Scott Dodelson, Joanna Dunkley, Cora Dvorkin, Richard Easther, Fabio Finelli, Raphael Flauger, Mark P. Hertzberg, Katherine Jones‐Smith, Shamit Kachru, Kenji Kadota, Justin Khoury, William H. Kinney, Eiichiro Komatsu, Lawrence M. Krauss, Julien Lesgourgues, Andrew Liddle, Michele Liguori, Eugene Lim, Andrei Linde, Sabino Matarrese, Harsh Mathur, Liam McAllister, Alessandro Melchiorri, Alberto Nicolis, Luca Pagano, Hiranya V. Peiris, Marco Peloso, Levon Pogosian, Elena Pierpaoli, Antonio Riotto, Uroš Seljak, Leonardo Senatore, Sarah Shandera, Eva Silverstein, Tristan Smith, Pascal Vaudrevange, Licia Verde, Ben Wandelt, David Wands, Scott Watson, Mark Wyman, Amit Yadav, Wessel Valkenburg and Matias Zaldarriaga
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