Working Paper Article Version 3 This version is not peer-reviewed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)
Version 2 : Received: 22 November 2020 / Approved: 23 November 2020 / Online: 23 November 2020 (14:24:00 CET)
Version 3 : Received: 29 September 2021 / Approved: 30 September 2021 / Online: 30 September 2021 (15:07:34 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 Ishiguri, S. Analytical Descriptions of High-Tc Cuprates by Introducing Rotating Holes and a New Model to Handle Many-Body Interactions. Preprints 2020, 2020050105

Abstract

This study describes all the properties of high Tc cuprates by introducing rotating holes that are created by angular momentum conservations on a 2D CuO2 surface, and which have a different mass from that of a normal hole because of the magnetic field energy induced by the rotation. This new particle called a macroscopic Boson describes the doping dependences of pseudo-gap temperature and the transition temperature at which an anomaly metal phase appears and describes the origin of the pseudo-gap. Furthermore, this study introduces a new model to handle many-body interactions, which results in a new statistic equation. This statistic equation describing many-body interactions accurately explains why high Tc cuprates have significantly high critical temperatures. Moreover a partition function of macroscopic Bosons describes all the properties of anomaly metal phase, which sufficiently agree with experiments, using the result from our previous study [1] that analytically describes the doping dependence of Tc. By introducing a macroscopic Boson and the new statistical model for many-body interactions, this study uncovered the mystery of high Tc cuprates, which have been a challenge for many researchers. An important point is that, in this study, pure analytical calculations are consistently conducted, which agree with experimental data well (i.e., they do not use numerical calculations or fitting methods but use many actual physical constants).

Keywords

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: 30 September 2021
Commenter: S. Ishiguri
Commenter's Conflict of Interests: Author
Comment: In this third version, d-wave symmetry of a Cooper pair is described. Up to the second version, It was not clear how a Cooper pair as the d-wave is created at temperatures under Tc. Please see section 5.5 including Figs 13 to 15. Moreover Fig. 5 was qualified but it does not lose the existing meanings.
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