Charge Imbalance Effects on Interlayer Hopping and Fermi Surfaces in Multilayered High-T_cCuprates

Abstract

We study doping dependence of interlayer hoppings, t ? , in multilayered cuprates with four or more CuO 2 planes in a unit cell. When the double occupancy is forbidden in the plane, an effective amplitude of t ? in the Gutzwiller approximation is shown to be proportional to the square root of the product of doping rates in adjacent two planes, i.e., t between IP and OP. Fermi surfaces are calculated in the four-layered t-t 0 -t 00 -J model by the mean-field theory. The order parameters, the renormalization factor of t ? , and the site-potential making the charge imbalance between IP and OP are self-consistently determined for several doping rates. We show the interlayer splitting of the Fermi surfaces, which may be observed in the angle resolved photoemission spectroscopy measurement.

Microscopic gauge-invariant theory of thec-axis infrared response of bilayer cuprate superconductors and the origin of the superconductivity-induced absorption bands

“…42,43 Alternatively, it can also be justified considering a pseudogap (PG) competing with superconductivity and the reported p-and k-dependencies of the magnitude of the PG and of the coherence peaks due to superconductivity. 44,45 With decreasing p, the magnitude of the PG increases and the area of the part of the Brillouin zone dominated by the PG, centered around the antinode, expands.…”

Effect of interlayer processes on the superconducting state within thet−J−Umodel: Full Gutzwiller wave-function solution and relation to experiment

“…This term leads to a significant splitting in the antinodal direction (π,0) and no splitting in the nodal one (π,π). In some papers referring to the bilayer cuprate superconductors, the nodal bilayer splitting is neglected, i.e., the situation with t bs = 0 is considered 11,12,21 . At the same time, considerations with the nearest-neighbor interlayer hopping included only (with t z = 0) have been also carried out [8][9][10]13 .…”

“…Even though a vast majority of previous theoretical studies regarding the copper based materials is focused on a single Cu-O plane, the bilayer Hubbard, t-J, and t-J-U models have also been considered [8][9][10][11][12][13][14] . What distinguishes the latter models from the single-layer approach is, among others, the appearance of the interlayer pairing channels which can contribute to the total superconducting gap.…”

Two-step evolution of doping dependent antiferromagnetism and charge imbalance in multilayered cuprates

“…The inter-layered hopping, neglecting the doping dependence [16], takes the form of ⊥k = −t ⊥ (cos k x − cos k y ) 2 /4 as usual [20]. We do not pre-assume the layered magnetic correlation, which will be determined by the free energy minimization.…”

“…The redistribution of charge between the OP and IP leads to the distinct SC magnitude [15]. They further studied the doping dependence of the inter-layered coupling under the Gutzwiller approximation, two different values of interlayered hopping were obtained between the IP and IP, the IP and OP, respectively [16]. However, the full doping range, especially the potential self-doped cases, has not been considered.…”