A Theoretical Approach to Pseudogap and Superconducting Transitions in Hole-Doped Cuprates

Figure 5

(i) The contour plots of the upper band 𝜀_𝑘^(𝑈) (a) and the lower band 𝜀_𝑘^(𝐿) (b) in the pure DDW state (doping level 9.94%) on the first Brillouin zone (BZ). The wave vector component (𝑘_𝑥𝑎) is plotted along the horizontal direction while (𝑘_𝑦𝑎) is plotted along the vertical direction. The scale of the plot in (a) is from 0 to 8 whereas in (b) it is from 0 to −2. The band-maxima in (a) occur at the points (±𝜋,±𝜋) and (0,0). The band-maxima in (b) occur at the nodal points (±𝜋/2,±𝜋/2). (ii) The contour plots of the band (−𝐸_𝐤^(𝑈)) (c) and the band (−𝐸_𝐤^(𝐿)) (b) in the DDW + DSC state (doping level 9.94%) on the first Brillouin zone (BZ). The scale of the plot in (c) is from 0 to −8 while in (d) it is from 0 to −2. The band-maxima in (c) occur at the antinodal points (±𝜋,0) and (0,±𝜋). The band-minima in (d) occur at the nodal points (±𝜋/2,±𝜋/2). The nodal quasiparticles correspond to the cone-like structure.

(a)

(b)

(c)

(d)