There is no graph attached and you do not specify the relevant experiment in any detail. Be it as it may, for a very detailed discussion of the optical conductivity and reflectivity of the cuprate superconductors, I refer you to Chapter 7, p. 299, by J Orenstein, of the book Handbook of High-Temperature Superconductivity: Theory and Experiment, edited by JR Schrieffer, and JS Brooks (Springer, New York, 2007).
Thank you Muhammad. The information is incomplete, since one should for instance know the frequency at which the measurements have been carried out. In any case, there is nothing out of the ordinary in the reflectivity data.
There is a close relationship between the frequency-dependent reflectivity and the frequency-dependent conductivity. The temperature dependence of the latter is in turn determined by the temperature dependence of the density of normal (or superconducting) electrons. For details, please consult the chapter by J Orenstein I referred to earlier. You might also consider Chapter 4 of the same volume, by DA Bonn, and WN Hardy, on the microwave electrodynamics of high-Tc superconductors (optical measurements are carried out in the microwave region). For the relevant mathematical formalism, consult Refs. [1,2] below.
[1] M Tinkham, Introduction to Superconductivity, 2nd edition (Mc-Graw-Hill, New York, 1996). Chapters 3 and 4.
[2] F Marsiglio, and JP Carbotte, Electron-Phonon Superconductivity, in Superconductivity, Vol. 1, edited by KH Bennemann, and JB Ketterson (Springer, Berlin, 2008). Section Optical Conductivity, beginning on p. 101.
Actually, Sir i am new in this area of research sometimes its too difficult for me to explain such type of complications so for this i need knowledge such as just like you people whose expertise and vast knowledge gives us alot of new and emergent concepts regrading to that specific area of research ...
Once more, you are welcome. If you are doing research on superconductivity, then I would suggest that you should ask the experts in your department to provide a series of lectures on the subject. If there are no such experts in your department, then an expert from a nearby university or research institute can be invited to do that. The position of guest professorship is intended for the propagation of knowledge and expertise from one centre of knowledge to another. It is important that before undertaking research on any subject, one be familiar with a most up to date overview of that subject.
Actually, i know the basics of superconductivity but here the situation is going to be very complicated to explain b/z for HTSC there is still not clear theory which explain well. So, we are looking for any model which best fit to this graph and through which we can explain the whole behavior of YBCO
Dear Muhammad, what I wrote above, was in response to your own statement, directly preceding my last comment, as well as the main question on this page. For instance, the phenomenology of the decrease of the reflectivity at non-vanishing frequencies for decreasing temperature is standard; it relies on the conservation of the uniform density of particles and the increase of the superconducting density for decreasing temperatures. Optical studies of in particular high-Tc superconductors have constituted a very active branch of research on superconductivity since many years. The research group of in particular Professor Dirk van der Marel in Geneva (link attached below) has done very extensive studies in this area over many years. See for instance the following publications:
[1] D van der Marel, et al., Nature 425, 271 (2003).
[2] AB Kuzmenko, et al., Phys. Rev. Lett. 72, 144503 (2005).
[3] F Carbone, et al., Phys. Rev. B 74, 064510 (2006).
Etc.
In short, I maintain that your department should provide an advanced course on the physics of superconductivity, in particular that of high-Tc superconductivity. That we do not as yet have the ultimate theory on the physics of the superconductivity in the cuprates is not an excuse for neglecting decades of research on the subject. One should not be inventing the wheel over and over again.