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

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).

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

“…In this paper, the many-body problem for magnetic flux quanta was demonstrated in a spherical shell model. However, this model is quite versatile and (as demonstrated in our previous paper) can reproduce the behaviors of high-Tc cuprates and accurately predict Curie temperatures [5].…”

“…To consider a transition with many-body interactions, we must recall our original model [5]. First, let us review this model, including Coulomb interactions.…”

“…To demonstrate a critical current with a self-field, however, we must handle many-body interactions of the magnetic flux quanta; we did not attempt it in our previous work. Recently, reagarding high-Tc cuprates, we obtained the critical temperature, the pseudo-gap temperature, and the transition temperatures at which anomalous metal phases appear on doping [5]. We found a theoretical, general, and novel statistical method that handles many-body interactions in this work.…”

“…Theoretical explanations of high-Tc cuprates have been attempted with little success, although other superconductors have provided theoretical insights. High-Tc cuprates were analytically described in our previous paper [5]. Very recently, H-based superconductors with extremely high pressures [6] have been reported.…”

Analytical Calculation of Superconducting Transition Temperatures Including a Complete Consideration of Many-Body Interactions and Non-equilibrium States

“…That is, if the coverage in the perturbations is finite, the accurate calculations are difficult. In our previous work [16], we described many-body interactions and transition temperatures analytically.…”