Modeling the ESR spectra of a Zn-P two-spin system in Si: The structure of the semiempirical relaxation operator incorporated in the quantum Liouville equation

Modeling the ESR spectra of a Zn-P two-spin system in Si: The structure of the semiempirical... The structure is examined of the semiempirical relaxation operator R (a tensor of order 4) used to extend the quantum Liouville equation to nonequilibrium processes, particularly to the absorption of microwave quanta by a Zn-P two-spin paramagnetic system in silicon. The transition-matrix elements M mn representing microwave absorption are directly involved in the modified quantum Liouville equation. The relaxation operator is expressed in terms of the transition rates v mn and the overlap functions p mn for the system: R mjkn = v mj p kn + p mj v kn. It is assumed that the component representation of the relaxation operator is structurally similar to that of the Liouville operator L mjkn in the sense that the former can be constructed from the latter by replacing ±iH mn and δmn with v mn, and p mn, respectively. This changeover reflects the stochastic nature of the interaction between the Zn-P system on the one hand and the surrounding silicon and microwave radiation on the other. A physical interpretation of the relaxation-operator components is proposed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Microelectronics Springer Journals

Modeling the ESR spectra of a Zn-P two-spin system in Si: The structure of the semiempirical relaxation operator incorporated in the quantum Liouville equation

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Publisher
Nauka/Interperiodica
Copyright
Copyright © 2006 by Pleiades Publishing, Inc.
Subject
Engineering; Electrical Engineering
ISSN
1063-7397
eISSN
1608-3415
D.O.I.
10.1134/S1063739706050027
Publisher site
See Article on Publisher Site

Abstract

The structure is examined of the semiempirical relaxation operator R (a tensor of order 4) used to extend the quantum Liouville equation to nonequilibrium processes, particularly to the absorption of microwave quanta by a Zn-P two-spin paramagnetic system in silicon. The transition-matrix elements M mn representing microwave absorption are directly involved in the modified quantum Liouville equation. The relaxation operator is expressed in terms of the transition rates v mn and the overlap functions p mn for the system: R mjkn = v mj p kn + p mj v kn. It is assumed that the component representation of the relaxation operator is structurally similar to that of the Liouville operator L mjkn in the sense that the former can be constructed from the latter by replacing ±iH mn and δmn with v mn, and p mn, respectively. This changeover reflects the stochastic nature of the interaction between the Zn-P system on the one hand and the surrounding silicon and microwave radiation on the other. A physical interpretation of the relaxation-operator components is proposed.

Journal

Russian MicroelectronicsSpringer Journals

Published: Aug 29, 2006

References

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