Hard-Wired Dopant Networks and the Prediction of High Transition Temperatures in Ceramic Superconductors

I review the multiple successes of the discrete hard-wired dopant network model ZZIP, and comment on the equally numerous failures of continuum models, in describing and predicting the properties of ceramic superconductors. The prediction of transition temperatures can be regarded in several ways, e...

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Main Author: J. C. Phillips
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Advances in Condensed Matter Physics
Online Access:http://dx.doi.org/10.1155/2010/250891
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author J. C. Phillips
author_facet J. C. Phillips
author_sort J. C. Phillips
collection DOAJ
description I review the multiple successes of the discrete hard-wired dopant network model ZZIP, and comment on the equally numerous failures of continuum models, in describing and predicting the properties of ceramic superconductors. The prediction of transition temperatures can be regarded in several ways, either as an exacting test of theory, or as a tool for identifying theoretical rules for defining new homology models. Popular “first principle” methods for predicting transition temperatures in conventional crystalline superconductors have failed for cuprate HTSC, as have parameterized models based on CuO2 planes (with or without apical oxygen). Following a path suggested by Bayesian probability, it was found that the glassy, self-organized dopant network percolative model is so successful that it defines a new homology class appropriate to ceramic superconductors. The reasons for this success in an exponentially complex (non-polynomial complete, NPC) problem are discussed, and a critical comparison is made with previous polynomial (PC) theories. The predictions are successful for the superfamily of all ceramics, including new non-cuprates based on FeAs in place of CuO2.
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spelling doaj-art-57c436b69ddf495e95d295524f7f61de2025-02-03T05:49:44ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242010-01-01201010.1155/2010/250891250891Hard-Wired Dopant Networks and the Prediction of High Transition Temperatures in Ceramic SuperconductorsJ. C. Phillips0Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08854-8019, USAI review the multiple successes of the discrete hard-wired dopant network model ZZIP, and comment on the equally numerous failures of continuum models, in describing and predicting the properties of ceramic superconductors. The prediction of transition temperatures can be regarded in several ways, either as an exacting test of theory, or as a tool for identifying theoretical rules for defining new homology models. Popular “first principle” methods for predicting transition temperatures in conventional crystalline superconductors have failed for cuprate HTSC, as have parameterized models based on CuO2 planes (with or without apical oxygen). Following a path suggested by Bayesian probability, it was found that the glassy, self-organized dopant network percolative model is so successful that it defines a new homology class appropriate to ceramic superconductors. The reasons for this success in an exponentially complex (non-polynomial complete, NPC) problem are discussed, and a critical comparison is made with previous polynomial (PC) theories. The predictions are successful for the superfamily of all ceramics, including new non-cuprates based on FeAs in place of CuO2.http://dx.doi.org/10.1155/2010/250891
spellingShingle J. C. Phillips
Hard-Wired Dopant Networks and the Prediction of High Transition Temperatures in Ceramic Superconductors
Advances in Condensed Matter Physics
title Hard-Wired Dopant Networks and the Prediction of High Transition Temperatures in Ceramic Superconductors
title_full Hard-Wired Dopant Networks and the Prediction of High Transition Temperatures in Ceramic Superconductors
title_fullStr Hard-Wired Dopant Networks and the Prediction of High Transition Temperatures in Ceramic Superconductors
title_full_unstemmed Hard-Wired Dopant Networks and the Prediction of High Transition Temperatures in Ceramic Superconductors
title_short Hard-Wired Dopant Networks and the Prediction of High Transition Temperatures in Ceramic Superconductors
title_sort hard wired dopant networks and the prediction of high transition temperatures in ceramic superconductors
url http://dx.doi.org/10.1155/2010/250891
work_keys_str_mv AT jcphillips hardwireddopantnetworksandthepredictionofhightransitiontemperaturesinceramicsuperconductors