Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Analytical Derivations of Critical Temperatures in Every Type of Fe-Based Superconductors Based on Two Electrons’ Rotational Model

Version 1 : Received: 18 July 2022 / Approved: 18 July 2022 / Online: 18 July 2022 (11:03:33 CEST)

How to cite: Ishiguri, S. Analytical Derivations of Critical Temperatures in Every Type of Fe-Based Superconductors Based on Two Electrons’ Rotational Model. Preprints 2022, 2022070269. https://doi.org/10.20944/preprints202207.0269.v1 Ishiguri, S. Analytical Derivations of Critical Temperatures in Every Type of Fe-Based Superconductors Based on Two Electrons’ Rotational Model. Preprints 2022, 2022070269. https://doi.org/10.20944/preprints202207.0269.v1

Abstract

In this study, Fe-based superconductors (SCs) are described with a model showing a novel attractive force. First, we describe this novel force using an analog from electromagnetism. From electromagnetism, it was found that this force is a Lorentz force in which two electrons orbit around a Fe-ion with the same velocity. Then, we consider a wave function of an electron. Consequently, due to the property of the proposed attractive force and the quantum-field Hamiltonian, we clarified that the Bardeen–Cooper–Schrieffer (BCS) ground state can be reused. Afterward, attractive force energy was calculated according to the presented model. In Fe-based SCs, a structure transition is essential. Considering that the derived attractive force energy is relatively large, we employ the expanded Tc-equation from the BCS theory that includes the structure transition effect and the derived attractive force energy. In addition, we succeed in analytically reproducing Tc-dome diagrams in various types of Fe-based SCs. Moreover, we discuss the universal property a general SC should have as well as the quantum critical point.

Keywords

Fe-based superconductor; critical temperature; transition temperature; attractive Lorentz force; Tc-dome diagram; structure transition; quantum critical point

Subject

Physical Sciences, Condensed Matter Physics

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