The problem of high-Tc superconductivity is surpassed by few, if any, other unresolved problems in modern physics in terms of its complexity, impact on other fields, and potential technological significance. Systematic exploration of copper-based cuprate and Fe-based high-Tc superconductors has already led to new concepts in condensed matter science and has uncovered numerous novel states of matter, including d-wave superconductivity in the cuprates, spin/charge stripes, nematic and nodal electron liquids, Hund’s metal, among others. Yet many mysteries still remain regarding the fundamental mechanism of unconventional superconductivity. Open questions include the pseudogap state, the energy scales of condensate formation, the relationship with magnetic order, and the role of inhomogeneity, among others. Review articles:   
Weak-coupling superconductivity in a strongly correlated iron pnictide
Charnukha et al. Scientific Reports 6, 18620 (2016). Article 
Interlayer Coherence and Superconducting Condensate in Ba(Fe1-xCox)2As2
Moon et al. Physical Review Letters 110, 097003 (2013). Article 
We report on the infrared studies of the interlayer charge dynamics of a prototypical pnictide superconductor Co-doped BaFe2As2. We succeeded in probing the intrinsic interlayer response by performing infrared experiments on the crystals with a cleaved ac surface. Our experiments identify the coexistence of the suppression of the electronic spectral weight and the development of a coherent Drude-like
response in the normal state. The formation of the interlayer ondensate is clearly observed in the superconducting state and appears to be linked to coherent contribution to the normal-state conductivity.
Infrared Pseudogap in P- and Co-Doped High-Temperature BaFe2As2 Superconductors
Moon et al. PRL 109, 027006 (2012). Article 
The insulator–metal transition remains among the most studied phenomena in correlated electron physics. However, the spontaneous formation of spatial patterns amidst insulator–metal phase coexistence remains poorly explored at the meso and nanoscales. Here we present real-space evolution of the insulator–metal transition in a V2O3 thin film imaged at high spatial resolution by cryogenic near-field infrared microscopy. We resolve spontaneously nanotextured coexistence of metal and correlated Mott insulator phases near the insulator-to-metal transition (160–180 K) associated with percolation and an underlying structural phase transition. A quantitative analysis of nano-infrared images acquired across the transition suggests decoupling of electronic
and structural transformations.