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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

IMPACT FACTOR 2016: 1.432

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 0.403
Source Normalized Impact per Paper (SNIP) 2017: 0.632

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Volume 54, Issue 12


On a Direct Superconducting Pairing Mechanism

Michael C. Böhm
  • Institut für Physikalische Chemie, Physikalische Chemie III, Technische Universität Darmstadt, Petersenstr. 20, D-64287 Darmstadt, Germany
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/ Christoph Saal
  • Present address: Merck, Zentrale Dienste Analytik, Zentrale Forschungsanalytik, Frankfurter Straße 250, D-64293 Darmstadt, Germany
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Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-1999-1210


We suggest that superconductivity can be traced back to a first-order interaction between the charge carriers which does not necessarily involve second-order electron-phonon coupling. For small molecular model systems it is demonstrated that the formation of Cooper pairs can lead to an attenuation of the destabilizing influence of the Pauli antisymmetry principle (PAP). We suggest that this attenuation of a fermionic quantum constraint is the driving force for the superconducting transition. Whenever the PAP is activated in single-particle hoppings of electrons, the corresponding moves reduce the electronic derealization; they raise the ensemble energy. The stability of a fermionic system is enhanced with decreasing influence of the PAP. Moves of Cooper pairs are not influenced by any quantum constraint of the intersite type. This behaviour differs from the well-known fermionic constraints. The quantum statistics of Cooper pairs is of a mixed type combining a fermionic on-site and a bosonic intersite behaviour. It coincides with the quantum statistics of so-called hard core bosonic ensembles. In the present work Cooper pair formation has been studied for smaller molecular models. The electronic Hamiltonian employed is of the two-parameter Hubbard-type. The solid state phenomenon superconductivity is correlated with the molecular concepts of “antiaromaticity” and “aromaticity”. Arguments are given which support the present interpretation.

Keywords: Superconductivity; Possible First-Order Pairing Interaction; Quantum Statistics; Pauli Antisymmetry Principle; Superconductivity vs Antiaromaticity and Aromaticity

About the article

Received: 1999-05-26

Published Online: 2014-06-02

Published in Print: 1999-12-01

Citation Information: Zeitschrift für Naturforschung A, Volume 54, Issue 12, Pages 718–738, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-1999-1210.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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Michael C. Böhm and Joachim Schulte
Physica C: Superconductivity, 2004, Volume 417, Number 1-2, Page 25
Michael C. Böhm and Joachim Schulte
Physica C: Superconductivity, 2004, Volume 405, Number 1, Page 1

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