Next Article in Journal
Seeking to Develop Global SYK-Ness
Previous Article in Journal
Localization Parameters for Two Interacting Particles in Disordered Two-Dimensional Finite Lattices
Previous Article in Special Issue
Majorana Fermions in One-Dimensional Structures at LaAlO3/SrTiO3 Oxide Interfaces
Article Menu

Export Article

Open AccessArticle
Condens. Matter 2018, 3(4), 39; https://doi.org/10.3390/condmat3040039

Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates

Theoretical Physics and Quantum Technologies Department, National University of Science and Technology MISiS, Leninskiy ave. 4, 119049 Moscow, Russia
Received: 29 September 2018 / Revised: 29 October 2018 / Accepted: 3 November 2018 / Published: 7 November 2018
(This article belongs to the Special Issue Selected Papers from Quantum Complex Matter 2018)
Full-Text   |   PDF [633 KB, uploaded 15 November 2018]   |  

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-Text
Keywords: hidden order; Cooper-pairing ’glue’; instantons; Eliashberg equations; high-temperature superconductivity hidden order; Cooper-pairing ’glue’; instantons; Eliashberg equations; high-temperature superconductivity
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Mukhin, S. Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates. Condens. Matter 2018, 3, 39.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Condens. Matter EISSN 2410-3896 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top