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Download PDF by Guenard F., Lelievre G.: Complements d'Analyse. Topologie. Premiere Partie

By Guenard F., Lelievre G.

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With actual system in mind, we consider a system consisting of an array of one-dimensional SC chains, as depicted in Fig. 1. We assume that the chains are weakly coupled by inter-chain hopping and the strip can be treated as an anisotropic superconductor. In this paper we first present the studies based on GL equation in Sec. 2 and then those based on microscopic Bogoliubov-de Gennes (BdG) equation in Sec. 3. (a) (b) Figure 1. (a) Structure of the Mobius strip. The bold arrow shows the direction of the magnetic flux.

So in polyacetylene, a soliton carries a charge deficit of one unit of electric charge. Nevertheless charge fractionization leaves a spur: the soliton state has net charge, but no net spin, since all of the electron spins are paired. If an additional electron is inserted into the sample, the charge deficit is extinguished, and one obtains a neutral state, but now there is a net spin. These spin-charge assignments (charged 21 - without spin, neutral - with spin) are unexpected, but in fact have been observed, and provide experimental verification for the soliton picture and fractionalization in polyacetylene.

Hatakenaka, T. Sambongi, T. Matsuyama, M. Hayashi, G. E. Volovik, P. Hakonen, M. Paalanen, M. Nishida, K. Kagawa, and M. Jack for useful discussions. We also t h a n k H. Kawamoto, M. Shiobara, Y. Sakai, K. Ikeda, K. Asada, Y. Nogami, K. Ikeda and S. Yasuzuka for experimental support. We also would like t o t h a n k S. Mori for t h e contribution of t h e illustrations. This reserch was supported by the J a p a n Society for the Promotion of Science, the Ministry of Education, J a p a n . References 1.

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Complements d'Analyse. Topologie. Premiere Partie by Guenard F., Lelievre G.

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