Results I—High $$T_c$$ T c Cuprate

Starting from this chapter we will discuss the results obtained by the renormalized mean field theory. First, we shall demonstrate the low-energy states for illustrating the properties of high-\(T_c\) cuprate. As mentioned earlier, the difficulty for this field comes from two parts: its strongly correlative nature and the numerous experimental data pointing out the co-existence of several orders throughout the phase diagram. In fact, these two features may be linked in an implicit way. One of the easy ways to understand this will be that if we believe its underlying mechanism to be out of a strong correlation, there would be the possibility having several low-energy excited states with nearly degenerate energies. This may be the reason why we are capable of obtaining seemingly different states from experiments. With this assumption bearing in mind, it inspires us for using the renormalized mean field theory to explore a strongly correlative Hamiltonian and seeing what outcomes would be revealed. In the following content of this chapter, we will head to analyze the properties of solutions we have got from the perspectives of the real space and the momentum space.