Classification Scheme of the Metal-Insulator Transition and Anomalous Metals
Phase transitions between metals and the Mott insulator are categorized from classifications of these two adjacent phases. Two types of metal-insulator transitions are identified either by the vanishing carrier number or by the carrier mass divergence. To classify these different types of metal-insulator transitions in multi-component systems, the lower critical dimensions of the component order in the metal as well as in the insulator play the crucial role. Critical exponents such as the Drude weight, the correlation length and the dynamical exponent are investigated for both types of the transitions using the scaling theory. Anomalous properties of the metallic state near the Mott insulator are analyzed in light of this classification for the criticality and crossovers.
KeywordsCritical Exponent Free Energy Density Mott Insulator Tricritical Point Component Order
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