  We investigate the Hubbard model on the anisotropic triangular lattice as a
suggested effective description of the Mott phase in various triangular organic
compounds. Employing the variational cluster approximation and the ladder
dual-fermion approach as complementary methods to adequately treat the
zero-temperature and the finite-temperature domains, we obtain a consistent
picture of the phase diagram as a function of anisotropy and interaction
strength. The metal-insulator transition substantially depends on the
anisotropy, and so does the nature of magnetism and the emergence of a
nonmagnetic insulating phase. We further find that geometric anisotropy
significantly influences the thermodynamics of the system. For increased
frustration induced by anisotropy, the entropy of the system increases with
interaction strength, opening the possibility of adiabatically cooling a
frustrated system by an enhancement of electronic correlations.
