  We study the continuous bandwidth-controlled Mott transition in the
two-dimensional single-band Hubbard model with a focus on the critical scaling
behavior of charge and spin degrees of freedom. Using plaquette cluster
dynamical mean-field theory, we find charge and spin criticality consistent
with experimental results for organic conductors. In particular, the charge
degree of freedom measured via the local density of states at the Fermi level
shows a smoother transition than expected for the Ising universality class and
in single-site dynamical mean-field theory, revealing the importance of
short-ranged nonlocal correlations in two spatial dimensions. The spin
criticality measured via the local spin susceptibility agrees quantitatively
with nuclear magnetic resonance measurements of the spin-lattice relaxation
rate.
