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. Preprints2020, 2020050105. https://doi.org/10.20944/preprints202005.0105.v4
Ishiguri, S. Analytical Descriptions of High-Tc Cuprates by Introducing Rotating Holes and a New Model to Handle Many-Body Interactions. Preprints 2020, 2020050105. https://doi.org/10.20944/preprints202005.0105.v4
Ishiguri, S. Analytical Descriptions of High-Tc Cuprates by Introducing Rotating Holes and a New Model to Handle Many-Body Interactions. Preprints2020, 2020050105. https://doi.org/10.20944/preprints202005.0105.v4
APA Style
Ishiguri, S. (2023). Analytical Descriptions of High-T<sub>c</sub> Cuprates by Introducing Rotating Holes and a New Model to Handle Many-Body Interactions. Preprints. https://doi.org/10.20944/preprints202005.0105.v4
Chicago/Turabian Style
Ishiguri, S. 2023 "Analytical Descriptions of High-T<sub>c</sub> Cuprates by Introducing Rotating Holes and a New Model to Handle Many-Body Interactions" Preprints. https://doi.org/10.20944/preprints202005.0105.v4
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
Subject
Physical Sciences, Condensed Matter Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received:
2 February 2023
Commenter:
S. Ishiguri
Commenter's Conflict of Interests:
Author
Comment:
(1) In the previous versions, the Tc equation had variables NA and NA/ni, where NA was the hole concentration and NA/ni in the function ln was doping. However, as a result of my study, the concentration NA should be reinterpreted as the concentration of Cooper pairs. Therefore, in the Tc equation, the variable name NA was rewritten as the variable name of Cooper-pair concentration, ρs. Note that the variable NA/ni in the function ln remains. See eq. (33), (37-1), (39) and (70-1) in the revised version. However, this is a merely reinterpretation and thus the essence of the above equations still remain, which implies that all the results are the same as that of the previous version. (2) In the page 3, the last part of Introduction in the previous version was not needed. Thus, instead, I have replaced these portions with the contents of this paper. (3) In the page 16 L13-L14, the volume of the system was defined as the unit (i.e. the number 1), which is related to the concentration of Cooper pairs, ρs. (4) The term, proportional forces, in the previous version was confusing, and thus the present paper replaced it with the term, balanced forces, everywhere in the revised version. (5) A few grammatical errors and lengthy expressions were slightly modified.
Commenter: S. Ishiguri
Commenter's Conflict of Interests: Author
(2) In the page 3, the last part of Introduction in the previous version was not needed. Thus, instead, I have replaced these portions with the contents of this paper.
(3) In the page 16 L13-L14, the volume of the system was defined as the unit (i.e. the number 1), which is related to the concentration of Cooper pairs, ρs.
(4) The term, proportional forces, in the previous version was confusing, and thus the present paper replaced it with the term, balanced forces, everywhere in the revised version. (5) A few grammatical errors and lengthy expressions were slightly modified.