Heavy-fermion behavior of the spinel-based transition-metal oxide ${\mathrm{LiV}}_2{\mathrm{O}}_4$

Motivated by the heavy-fermion Fermi-liquid (HFFL) features observed at low T in the spinel ${\mathrm{LiV}}_2{\mathrm{O}}_4,$ we consider a material-specific model that includes aspects of the local quantum chemistry, the geometrically frustrated lattice structure, and strong correlations in a single approach. In particular, we show how geometrical frustration (GF) gives rise to a crossover scale, $T^{*}\ll J,$ the intersite (AF) exchange, below which the metallic system shows HFFL features. Our scenario is a specific realization of the importance of GF effects in driving HFFL behavior in ${\mathrm{LiV}}_2{\mathrm{O}}_4,$ and provides a natural understanding of various puzzling features observed experimentally.