Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $κ$-(ET)$_2$Cu$_2(CN)

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18981We study phase diagrams of the Hubbard model on anisotropic triangular lattices, which also represents a model for $κ$-type BEDT-TTF compounds. In contrast with mean-field predictions, path-integral renormalization group calculations show a universal presence of nonmagnetic insulator sandwitched by antiferromagnetic insulator and paramagnetic metals. The nonmagnetic phase does not show a simple translational symmetry breakings such as flux phases, implying a genuine Mott insulator. We discuss possible relevance on the nonmagnetic insulating phase found in $κ$-(ET)$_2$Cu$_2(CN)_3$.4pages including 7 figuresStrongly Correlated ElectronsMaterials ScienceNonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $κ$-(ET)$_2$Cu$_2(CN)_3$text