I Don't Understand How The Superconductor Is Working Conductivity By Cooper Pairs. Now Is There Any New Theory About It.
Hi ikaraca, The BCS theory remains the best description available for "ordinary" superconductors. What specifically about the BCS theory don't you understand?
Well that's the thing, the BCS theory doesn't really work for high temperature superconductors. There is still some kind of pairing going on, but the the naive BCS phonon mechanism appears inadequate. For example, the pairing doesn't have to be s-wave as in the simplest BCS model. Many high temperature superconductors seem to have a d-wave order parameter characterized by four nodes. Of course, there is a whole zoo of superconductors with many different kinds of gaps and order parameters. Focus on the cuprates. Doped La<SUB>2</SUB>CuO<SUB>4</SUB> (like La<SUB>2-x</SUB>Sr<SUB>x</SUB>CuO<SUB>4</SUB>) can exhibit a huge number of interesting phases ranging from an antiferromagnet to a spin glass to a high temperature superconductor. The relevant physics has a lot to do with the two dimensional Copper-Oxygen planes as well as the density of charge carriers (doping). Such insights have led to a lot of progress, but there is still no general theory.