Metal-insulator transitions are accompanied by huge resistivity changes,
even over tens of orders of magnitude, and are widely observed in
condensed-matter systems. This article presents the observations
and current understanding of the metal-insulator transition with
a pedagogical introduction to the subject. Especially important are
the transitions driven by correlation effects associated with the
electron-electron interaction. The insulating phase caused by the
correlation effects is categorized as the Mott Insulator. Near the
transition point the metallic state shows fluctuations and orderings
in the spin, charge, and orbital degrees of freedom. The properties
of these metals are frequently quite different from those of ordinary
metals, as measured by transport, optical, and magnetic probes. The
review first describes theoretical approaches to the unusual metallic
states and to the metal-insulator transition. The Fermi-liquid theory
treats the correlations that can be adiabatically connected with
the noninteracting picture. Strong-coupling models that do not require
Fermi-liquid behavior have also been developed. Much work has also
been done on the scaling theory of the transition. A central issue
for this review is the evaluation of these approaches in simple theoretical
systems such as the Hubbard model and t-J models. Another key issue
is strong competition among various orderings as in the interplay
of spin and orbital fluctuations. Experimentally, the unusual properties
of the metallic state near the insulating transition have been most
extensively studied in d-electron systems. In particular, there is
revived interest in transition-metal oxides, motivated by the epoch-making
findings of high-temperature superconductivity in cuprates and colossal
magnetoresistance in manganites. The article reviews the rich phenomena
of anomalous metallicity, taking as examples Ti, V, Cr, Mn, Fe, Co,
Ni, Cu, and Ru compounds. The diverse phenomena include strong spin
and orbital fluctuations, mass renormalization effects, incoherence
of charge dynamics, and phase transitions under control of key parameters
such as band filling, bandwidth, and dimensionality. These parameters
are experimentally varied by doping, pressure, chemical composition,
and magnetic fields. Much of the observed behavior can be described
by the current theory. Open questions and future problems are also
extracted from comparison between experimental results and theoretical
achievements.