Mapping the Phase Space of Type II Superconductors

[DaniV]

Due to my lab work
I want to try map the phase space that created with critical external magnetic field H_c
and the critical current J_c through the superconductor of type II. the critical transition happen from the Abrokosov phase to the non-superconductor phase, occurred by the fact that in the Abrokosov phase there is a tiny current loops stucking in pinning sites due to defects in the material, the J_c current and higher currents making a rejecting force strong enough to relese the currents loops from the pininigs and making them flow through the superconductor which creats flux that cancels the superconductivity of the material.

the material that interest me is a Type II superconductor which phase transit in high tempratures (BSCCO Bi-2223)

I want to find a theory in articles or books relating H_c and J_c by an analytic equation (or at least numeric\non-linear one), in the the critical tempraure - critical field (T_c and H_c ) the theory is well known.
but by searching there is only vague relation is known for type I superconductors between H_c and J_c.

I'll be glad for help.

 

[BigJDubs]

The simplest way to approach this problem is to locate existing studies that have already been conducted. A simple internet search should reveal a number of articles and books that have explored this topic in depth. It would be especially useful to look for studies that have used type II superconductors, such as BSCCO Bi-2223. Once you have identified existing studies, you can analyze the results and try to develop your own equations or theories based on what has already been established. Additionally, you may be able to find experimental data that can be used to develop your own equations or theories.