Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed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)
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)
Version 4 : Received: 2 February 2023 / Approved: 2 February 2023 / Online: 2 February 2023 (11:23:18 CET)

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.


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).


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


Physical Sciences, Acoustics

Comments (1)

Comment 1
Received: 23 November 2020
Commenter: S. Ishiguri
Commenter's Conflict of Interests: Author
Comment: (1)Logical follow was checked: The previous paper did not written according to the logical follow. i.e., BE condensation and superconductivity sections were located as the last sections. However, an improvement of the logic made these sections have locations of the middle portion. Moreover, the derivation of T0 was organized. Note that some conclusive equations are highlighted. The resultant logic can be checked in section 2.6, “Summary of the logical flow”. Moreover, according to this logic, the abstract was reconstructed but its conclusion remains.
(2) “Method section” was added: To help our readers to reproduce our results, Method section was added in which details of calculations are described.
(3) The reason is described why both fermi energy and chemical potential exist. Please see section 2.3 providing the literature [29].
(4) In Discussion section, we added the calculations showing the maximum Tc,max for the optimum doping versus radius η of a macroscopic Boson. Because radius η is proportional to the lattice constant, it is clear why there are various values of critical temperatures among high Tc cuprates, although they have common macroscopic Bosons (i.e., pseudo-gap energy). Moreover, the previously submitted paper did not describe the Meissner effect. Although the existence of the converged phase naturally produces the Meissner effect, I added its derivation as a reference.
(5) "Anticipated results and spillover effects” were described in the revised version. Please see section 5.5.
(6) “Motivation of this study” was presented. Please see Introduction, p.3 L.2 to L.7.
(7) Over the entire paper, more literatures support the descriptions of the revised version.
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