Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Analytical Descriptions of High-Tc Cuprates by Introducing Rotating Holes and a New Model to Handle Many-Body Interactions

Version 1 : Received: 6 May 2020 / Approved: 7 May 2020 / Online: 7 May 2020 (05:45:04 CEST)

How to cite: Ishiguri, S. Analytical Descriptions of High-Tc Cuprates by Introducing Rotating Holes and a New Model to Handle Many-Body Interactions. Preprints 2020, 2020050105 (doi: 10.20944/preprints202005.0105.v1). Ishiguri, S. Analytical Descriptions of High-Tc Cuprates by Introducing Rotating Holes and a New Model to Handle Many-Body Interactions. Preprints 2020, 2020050105 (doi: 10.20944/preprints202005.0105.v1).

Abstract

This paper describes all the properties of high-Tc cuprates by introducing rotating holes which are created by angular momentum conservations on a two dimensional CuO2 surface, and which have a different mass from that of a normal hole due to the magnetic field energy induced by the rotation. This new particle called a macroscopic boson describes doping dependences of pseudo gap temperature and the transition temperature at which an anomaly metal phase appears. In addition, it also describes all the properties of the anomaly metal phase, using findings from our previous article [1] . Furthermore, the present paper introduces a new model to handle many-body interactions, which results in a new statistic equation. A partition function of macroscopic bosons describes all the properties of the anomaly metal phase, which sufficiently agrees with experiments. Moreover, the above-mentioned statistic equation describing many-body interactions accurately explains why high-Tc cuprates have significantly high critical temperatures, which indicates that the source of the characteristic stems from pseudo gap energy. By introducing a macroscopic boson and the new statistic model for many-body interactions, the present paper uncovered the mystery of high-Tc cuprates, which have been a challenge for many researchers. Moreover, in the present paper, pure analytical calculations are conducted. These calculations agree with experimental data which do not employ numerical calculations or fitting methods but employ many actual physical constants.

Subject Areas

high-Tc cuprates; macroscopic boson; many-body interactions; pseudo gap; critical temperature; anomaly metal phase; conservation of angular momentum; attractive force; Cooper pair

Comments (1)

Comment 1
Received: 29 July 2020
Commenter: Shinichi Ishiguri
The commenter has declared there is no conflict of interests.
Comment: One of significances of this paper is that the many-body interaction in high-Tc cuprates is calculated by a pure analytical method (not numerical or fitting methods). This results from the fact that we succeeded in obtaining a new model to handle the many-body problem. That is, it implies an introduction of new statistic physics. Employing this model, the many-body interaction in high-Tc cuprates was analytically calculated, which resulted in uncovering why the high-Tc cuprates have significant critical temperatures and which agrees well with the measurements. This new statistic physics can be applied to many materials to calculate physical and concrete values. For example, in Appendix of this paper, this new model for many-body interactions was applied to calculate concrete values of Curie temperatures of some materials as the pure analytical method (not numerical or fitting methods), which also agree well with the measurements. Thus we believe that the contents of this Appendix is significant as well as the body in this paper. If you are interested in this paper, please contact me by more frequent address: [email protected]
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