The Superconductivity of the Double Correlated Linear Aggregations of Holes in the Cuprates

Abstract

Here I extend my last work about the origin of the pseudo-gaps in underdoped cuprates (arXiv: cond-mat. 1011.3206), to include the mechanism of superconductivity. This is done by adapting the formalism of the double correlations in systems with nested Fermi surfaces to the semi one dimensional system of strings of holes. It is proposed that magnetic interaction is crucial for the establishment of the pseudogap and the high temperature superconductivity. It is shown that superconductivity disturbs the completeness of the strings of holes, and creates fluctuations in them. This, in turn, reduces the magnetic interaction and the pseudogap order.

Pairing Symmetry, Spin Gap, and More in HTSC Cuprates

“…In recent two papers by the present author the linear aggregation of holes in checkerboard geometry has been established in HTSC cuprates [1,2]. In one of these papers, fluctuating deviations from full columns or rows have been attributed to superconductive pairing [2].…”

“…[2], keeping the same nomenclature When the left hand side of Eq. (2) is multiplied by an equivalent row function we get [2], and the definitions of 12 . Each of the two later operators contains spin projections along the x-y plane.…”

“…This proves that our double correlated model of linear aggregates of holes is in agreement with experiment. An essential condition for this agreement is the rejection of the stripe geometry, and the assumption of the checkerboard geometry [1,2]. This is so because we cannot envision any mechanism which relates the phases of two different and perpendicular stripe domains (especially when the size of the stripe is larger than the coherence length).…”

“…In one of these papers, fluctuating deviations from full columns or rows have been attributed to superconductive pairing [2]. This aggregation of holes may be considered as a spontaneous symmetry breaking, from two dimensional, to a product of two one dimensional symmetries, which hereafter is referred to as semi one dimensional.…”

“…In this respect, one should acknowledge the magnetic interaction that has been proposed and discussed in the last paper [2], but still that discussion is preliminary. Electron transport properties should also be investigated within the framework of the linear aggregation of holes.…”