Further Establishment of the Field Perturbation Theory of the Pseudogaps in HTSC

Abstract

Here I establish the field perturbation theory of pseudogaps in HTSC. The proposed ground state suggests an internal particle-hole field, which is normal to nesting surfaces, and having twice the Fermi wave-number. It is proved that the system violates momentum conservation by the wave-vector of this internal field. This violation applies to the quasi-particle propagators, as well as to the interactions.Interaction vertices via the Pauli matrix-1 are established. This, in turn, establishes the validity of the pseudogap Hartree self-energy.

The Inward Dispersion of the Neutron Scattering Experiments in HTSC Cuprates

“…Another way to avoid the static limit diversion is given by introducing a small low-energy limit for the treatment of the present paper. This is done in the forthcoming (26). However, the fundamental way to tackle the static limit diversion of the susceptibility is a comprehensive analysis that includes imperfect holes' strings and final lifetimes.…”

“…However, |q ω | = 2 |k| now is out of the momentum range (−2k F , 2k F ), and one should apply the rule |q ω | = 2 k . This is justifiable by the rule that the system conserves the momentum-only modulus (k−k) [26]. Notice that (k −k) is a constant independent of k, whenk(k) is defined by (17), but is dependent upon k, when it is defined by (18b).…”

“…Another aspect of these off-diagonal elements is their momentum. While the momentum of the diagonal component is |q| = |k − (−K)| = |2k|, the momentum of the off-diagonal components is shifted by 2k F [26], which should make their low-energy dispersion (if existed) to be acoustic, starting at q = 0, ω = 0. However, they are theoretically forbidden and have never been observed experimentally.…”

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

“…This set of excitations is found, as in [2,9], by requiring that the ground state yields zero when operated upon by each one of these annihilation operators, namely 0ˆˆ, , , | 0…”

“…This, in turn, suggests the formation of a new phase-the pseudogap phase, since it is well known that one cannot bridge between two phases with different symmetry by the regular perturbation theory. Instead, the symmetry of the ordered phase has to be built into the unperturbed Hamiltonian, and eventually justified when obtained from the interaction part of the Hamiltonian [2,9,10]. This procedure was indeed exercised in [1], where an internal field with modulated AFM order was obtained from the suggested ground state which, in turn, has the symmetry of the ordered phase.…”