The Field Perturbation Theory of Pseudogaps in HTSC

TL;DR

This paper develops a field perturbation theory to explain pseudogaps in high-temperature superconductors, proposing an internal particle-hole field that violates momentum conservation and affects quasiparticle interactions.

Contribution

It introduces a novel ground state model with an internal particle-hole field and demonstrates its implications for pseudogap phenomena in HTSC.

Findings

Violates momentum conservation at the nesting surface

Establishes the validity of pseudogap Hartree self-energy

Defines interaction vertices via Pauli matrices

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- are established. This, in turn, establishes the validity of the pseudogap Hartree self-energy.