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Solitons in Superlattices: Multiple Scales Method

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Abstract

Negative differential conductivity is one of the basic characteristics of superlattices. A self-trapped potential is used to describe the formation of electric field domains resulting from negative differential conductivity. The method of multiple scales, in which the electric field profile is separated into fast and slow spatial components, shows that the slowly varying component satisfies the nonlinear Schrödinger equation. The well-known soliton solutions of this equation provide a theoretical description of the electric field domains. The soliton solutions imply that solitons are observed as envelopes of the linearized wave functions that correspond to the electric field domains in semiconductor superlattices.

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Authors and Affiliations

  1. Department of Physics, Beijing Normal University, Beijing, 100875, People's Republic of China

    Qiang Tian, Qiyi Zhang & Hui Zhou

  2. Abdus Salam International Center for Theoretical Physics, Trieste, 34100, Italy

    Qiang Tian

Authors
  1. Qiang Tian
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  2. Qiyi Zhang
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  3. Hui Zhou
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Correspondence to Qiang Tian.

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Tian, Q., Zhang, Q. & Zhou, H. Solitons in Superlattices: Multiple Scales Method. International Journal of Theoretical Physics 40, 1277–1282 (2001). https://doi.org/10.1023/A:1017531822631

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  • DOI: https://doi.org/10.1023/A:1017531822631

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