Johan F. Prins
20th March 2006 - 10:45 AM
None of the theories on superconduction based on Bose-Einstein condensation can model the conditions that have to prevail when a superconducting current flows through a material. A current must flow without an electric field being present. An absence of scattering of the charge carriers does not ensure the absence of an electric field, or else the electrons in a vacuum diode would have been a superconducting phase; which they are NOT. This is so because they reach the contact towards which they are flowing with a velocity v; i.e. they have kinetic energy so that they scatter within the contact.
So what is the essential behaviour required to have a superconductor?
1. IT MUST TRANSPORT A CURRENT WHILE AT THE SAME TIME ACTING AS A PERFECT DIELECTRIC.
2. THE CHARGE CARRIERS MUST BE ABLE TO INCREASE THEIR VELOCITY (IN ORDER TO TRANSPORT THE CURRENT) WITHOUT INCREASING THEIR KINETIC ENERGY.
To satisfy the first condition, the charge carriers must form part of a dielectric array of centres; i.e. when no current is flowing they are anchored by opposite charges at specific lattice positions. An external electric field will polarise the charge carriers relative to their opposite charges so that they cancel the electric field. In metals this is achieved by the formation of a Wigner crystal. In CuO ceramics "orbitals" akin to covalent bonds form between the crystallographic layers. Phonon-coupling of electrons does not play any role in both these cases.
To sastify the second condition, the charge carriers have to tunnel from site to site; i.e. each carrier borrows energy to free itself from the point at which it is anchored and to move with a velocity v until it reaches the next anchor point. Because the energy has been borrowed, the velocity does not manifest as an increases in kinetic energy.
The array of charge carriers is thus NOT a Bose-Einstein condensate. Neither do the charge carriers have to be bosons. In p-type semiconducting diamond the charge carriers are single holes; i.e. fermions.
Using these principles, all types of superconduction can be modelled with THE SAME mechanism. I have submitted a paper on this and am awaiting the decision of the reviewers. It might be rejected because reviewers have become priests which, like in the time of Galileo, rather protect the status quo than to allow any new ideas to be published. Therefore, this model is also discussed in a book on superconduction, which is available at www.cathodixx.com