Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Theoretical Derivation of Critical Current Density and Critical Magnetic Field Considering Many-Body Interactions of Magnetic Flux Quanta

Version 1 : Received: 10 May 2021 / Approved: 11 May 2021 / Online: 11 May 2021 (09:37:42 CEST)

How to cite: Ishiguri, S. Theoretical Derivation of Critical Current Density and Critical Magnetic Field Considering Many-Body Interactions of Magnetic Flux Quanta. Preprints 2021, 2021050227 (doi: 10.20944/preprints202105.0227.v1). Ishiguri, S. Theoretical Derivation of Critical Current Density and Critical Magnetic Field Considering Many-Body Interactions of Magnetic Flux Quanta. Preprints 2021, 2021050227 (doi: 10.20944/preprints202105.0227.v1).

Abstract

To clarify the relationships among critical temperature, critical magnetic field, and critical current density, this paper describes many-body interactions of quantum magnetic fluxes (i.e., vortices) and calculates pinning-related critical current density. All calculations are analytically derived, without numerical or fitting methods. After calculating a magnetic flux quantum mass, we theoretically obtain the critical temperature in a many-body interaction scenario (which can be handled by our established method). We also derive the critical magnetic field and inherent critical current density at each critical temperature. Finally, we determine the pinning-related critical current density with self-fields. The relationships between the critical magnetic field and critical temperature, inherent critical current density and critical temperature, and pinning critical current density and self-magnetic field were consistent with experimental observations. From the critical current density and critical magnetic field, we clarified the magnetic field transition. It appears that a magnetic flux quantum collapses when the lattice of magnetic flux quanta melts. Our results, combined with our previously published papers, provide a comprehensive understanding of the transition points in high-Tc cuprates.

Subject Areas

vortices; magnetic flux quantum; critical current density; critical magnetic field; many-body interaction

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