### Abstract

Anomalous metallic states near the Mott insulator are analyzed in terms of the critical scaling toward the metal-insulator transition. Continuous transitions from a metal to the Mott insulator are characterized either by the mass divergence as in the bi-component systems or the vanishing carrier number as in the valence bond systems. A set of critical exponents in these two cases is deduced from the scaling theory. The correlation exponent v and the dynamical exponent z satisfy v = 1/2 d and z = 2 d when the mass diverges in d dimensions, while v = 1/2 and z = 2 if the carrier number vanishes. Crossovers between quantum critical regime and thermal critical regime inferred from this theory shed light on understanding experimental indications in high-T_{c} cuprates and other strongly correlated systems.

Original language | English |
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Pages (from-to) | 437-442 |

Number of pages | 6 |

Journal | Journal of Low Temperature Physics |

Volume | 99 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 1995 May 1 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Materials Science(all)
- Condensed Matter Physics

### Cite this

*Journal of Low Temperature Physics*,

*99*(3-4), 437-442. https://doi.org/10.1007/BF00752322