Mathematical and Physical Properties of Three-Band s+- Eliashberg Theory for Iron Pnictides

TL;DR

This paper explores the three-band s+- Eliashberg theory for iron pnictide superconductors, highlighting its universal properties and empirical relationships between parameters and critical temperature.

Contribution

It introduces a detailed analysis of the mathematical and physical properties of the three-band s+- Eliashberg model, emphasizing its universal features and empirical scaling laws.

Findings

W0 scales with Tc as W0 = 4.65kBTc

Universal link between parameters l13 and l23

Ratio Di/kBTc is independent of Tc

Abstract

The phenomenology of the iron pnictide superconductor can be described by the threeband s+- Eliashberg theory in which the mechanism of superconducting coupling is mediated by antiferromagnetic spin fluctuations and whose characteristic energy W0 scales with Tc according to the empirical law W0 = 4.65kBTc. This model presents the universal characteristics that are independent of the critical temperature, such as the link between the two free parameters l13 and l23 and the ratio Di/kBTc.