We investigate the magnetism of a previously unexplored distorted spin-1/2 kagome model consisting of three symmetryinequivalent nearest-neighbor antiferromagnetic Heisenberg couplings J(O), J, and J('), and uncover a rich ground state phase diagram even at the classical level. Using analytical arguments and numerical techniques we identify a collinear (Q) over right arrow = 0 magnetic phase, two unusual non-collinear coplanar (Q) over right arrow = (1/3, 1/3) phases and a classical spin liquid phase with a degenerate manifold of non-coplanar ground states, resembling the jammed spin liquid phase found in the context of a bond-disordered kagome antiferromagnet. We further show with density functional theory calculations that the recently synthesized Y-kapellasite Y3Cu9(OH)(19)Cl-8 is a realization of this model and predict its ground state to lie in the region of (Q) over right arrow = (1/3, 1/3) order, which remains stable even after the inclusion of quantum fluctuation effects within variational Monte Carlo and pseudofermion functional renormalization group. The presented model opens a new direction in the study of kagome antiferromagnets.
