%0 Journal Article
%T Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ¡®Glue¡¯ and ¡®Hidden Order¡¯ in High-Tc Cuprates
%A Sergei Mukhin
%J Condensed Matter | An Open Access Journal from MDPI
%D 2018
%R https://doi.org/10.3390/condmat3040039
%X Abstract An emergence of magnetic boson of instantonic nature, that provides a Cooper-¡®pairing glue¡¯, is considered in the repulsive ¡®nested¡¯ Hubbard model of superconducting cuprates. It is demonstrated that antiferromagnetic instantons of a spin density wave type may have negative energy due to coupling with Cooper pair condensate. A set of Eliashberg like equations is derived and solved self-consistently, proving the above suggestion. An instantonic propagator plays the role of the Green function of the pairing ¡®glue¡¯ boson. Simultaneously, the instantons defy condensation of the mean-field spin-density wave (SDW) order. We had previously demonstrated in analytical form that periodic chain of instanton-anti-instanton pairs along the axis of Matsubara time has zero scattering cross section for weakly perturbing external probes, like neutrons, etc., thus representing a ¡®hidden order¡¯. Hence, the two competing orders, superconducting and antiferromagnetic, may coexist (below some T c ) in the form of the superconducting order coupled to ¡®hidden¡¯ instantonic one. This new picture is discussed in relation with the mechanism of high temperature superconductivity. View Full-Tex
%K hidden order
%K Cooper-pairing ¡®glue¡¯
%K instantons
%K Eliashberg equations
%K high-temperature superconductivity
%U https://www.mdpi.com/2410-3896/3/4/39