Electronic Phenomena in Correlated Oxides at the nanoscale

I report current induced metal-insulator-metal stripes and moir\'{e}-type phase separation in correlated transition metal oxides at the nanoscale. Mesoscopic periodic textures in Ca$_{\mathrm{2}}$RuO$_{\mathrm{4\thinspace }}$single crystals and La$_{\mathrm{0.67}}$Sr$_{\mathrm{0.33}}$MnO$_{\mathrm{3\thinspace }}$thin films were revealed by infrared nano-imaging and optical-microscopy measurements. Those textures have orientations tied uniquely to the crystallographic axes of the sample or miscut steps in the substrate, implying a strong coupling of the electronic transition to lattice degrees of freedom. I will also use this opportunity to report the recent advances in the infrared (IR) and terahertz (THz) near-field nanoscopy and spectroscopy technologies and discuss their future applications for quantum materials. This includes the recent advances in data analysis and the cryogenic, ultrafast, and multi-modal imaging capabilities. These new developments set the stage for future spectroscopic investigations to access the low energy electron, phonon, and spin dynamics in complex quantum materials at the nanoscale.