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Analogy between two-dimensional dislocation systems and layered superconductors

1998/10/15 by J. Cserti, József Cserti, Cserti, J.
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Superconductivity (cond-mat.supr-con) #Surface and Thin Film Phenomena #Thermal properties of materials #cond-mat.mtrl-sci #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/9810186

4 pages, 1 Postscript figure

arxiv created 1998/10/15 · openalex publication_date 1998/10/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose a consistent treatment of the applied external stress on a two-dimensional dislocation systems by using the analogy between our model and the layered superconductors. Using the results of a mathematically rigorous, real-space renormalization-group (RG) calculations in the latter model we extend the original model developed by Khantha \it et al. From our recursion relations a nonlinear equation is derived for the transition temperature as a function of the applied stress. Our results are compared with the predictions of Khantha's model for three particular materials and the reasons for the deviations are discussed. Possible extensions of our model are outlined.

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