Searching for High-T$_{\mathrm{c}}$ Superconductivity in Low-Z, Low-Ne Materials

The discovery in 2001 of HTSC at 39K in MgB$_{2}$, a low-atomic number (Z) and low-valence electron count per atom (Ne) material, strongly suggested that similar materials may exist with comparable or even higher Tcs. Efforts to find MgB$_{2}$-like HTSC materials in binary and ternary systems have not been very successful. Using recently developed material specific formula for Tc, we have extended the computational and experimental search for potential low-Z, low-Ne HTSCs beyond the ternary structure into the 4 and 5-element systems. Exploring the family of low-Z, low-Ne materials represented by Z $=$ 1.333p $+$ 2 where p is an integer, we find in this broad spectrum, hundreds of potential HTSC materials. Here we present some of the combinatorial-computational datasets and preliminary experimental results using a novel non-DFT material-specific characterization dataset (MSCD) method. MSCD promises to accelerate the computational search for new materials, particularly superconductors. The computations and preliminary experimental results suggest that HTSC, comparable to the cuprates may exist in low-Z, low-Ne materials with 4 and 5-element systems.