Topological pseudogap in highly polarizable layered systems with 2D hole-like dispersion

Free energy of a two-liquid system of charge carriers in strongly coupled electron and phonon fields and common nature of three phases in hole-doped cuprates

“…As a consequence, the density of states near the FS observed in STS experiments decreases and the intensity of the ARPES spectrum near the antinodes decreases near the FS. The predicted values of the PG width and of the so-called FS angle of the PG closure as well as the obtained Fermi momentum mismatch [46] (particle-hole asymmetry) are in agreement with the experiments on cuprates [4,5]. The SC phase in the two-liquid system occurs below the temperature of the superfluid transition in the bipolaron liquid.…”

“…Free energy of the system is affected by exclusion of nearantinodal quasiparticles in presence of the (bi)polaron potential. The exclusion displays itself in ARPES and STS spectra as PG [46] (supplementary material 2). To obtain the free energy increment due to this exclusion we first calculate the It can be estimated as the angular coordinate of the intersection between the arc ε = E (E is the QP energy) and the line from the origin to the point where the arc ε = E + U 0 (U 0 is the amplitude of the CO potential) meets the FBZ boundary (figure 3(a)) [46].…”

“…The exclusion displays itself in ARPES and STS spectra as PG [46] (supplementary material 2). To obtain the free energy increment due to this exclusion we first calculate the It can be estimated as the angular coordinate of the intersection between the arc ε = E (E is the QP energy) and the line from the origin to the point where the arc ε = E + U 0 (U 0 is the amplitude of the CO potential) meets the FBZ boundary (figure 3(a)) [46]. φ PG value depends on the carrier dispersion, which determines the distance between the arcs (supplementary material 2) and on U 0 .…”

“…Antinodal PG in ARPES and scanning tunneling spectroscopy (STS) spectra of the two-liquid system appears due to the impact of the potential generated by autolocalized carries on the states of delocalized carriers. It transforms Bloch quasiparticles (QP) into distributed (in space) wave packets in which the carrier momentum is different in regions with different additional potential [46]. The topology of the hole-like dispersion and the flat dispersion near the antinodes make it impossible for the near-antinodal distributed wave packets to propagate in the regions of high negative additional potential energy arising from the (bi)polarons' potential [46].…”

“…It transforms Bloch quasiparticles (QP) into distributed (in space) wave packets in which the carrier momentum is different in regions with different additional potential [46]. The topology of the hole-like dispersion and the flat dispersion near the antinodes make it impossible for the near-antinodal distributed wave packets to propagate in the regions of high negative additional potential energy arising from the (bi)polarons' potential [46]. As a consequence, the density of states near the FS observed in STS experiments decreases and the intensity of the ARPES spectrum near the antinodes decreases near the FS.…”