Fermi liquid phenomenology combined with scaling theory of the metal-insulator transition

Masatoshi Imada

doi:10.1016/0921-4534(95)00780-6

Fermi liquid phenomenology combined with scaling theory of the metal-insulator transition

Masatoshi Imada^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Continuous transitions between a Mott insulator and a correlated metal are studied with the scaling theory. The validity of hyperscaling analysis is examined. As an example of the criticality, two-dimensional ³He systems near the Mott transition observed experimentally are analyzed in favor of the mass singularity in the form m* α δ^-1 where δ is the density of ³He measured from the Mott insulator. Several consequences of the scaling theory are derived when the metallic state is described by the Fermi liquid. The breakdown of the Fermi liquid towards the transition point is figured out in this framework.

Original language	English
Pages (from-to)	49-53
Number of pages	5
Journal	Physica C: Superconductivity and its applications
Volume	263
Issue number	1-4
DOIs	https://doi.org/10.1016/0921-4534(95)00780-6
Publication status	Published - 1996 May
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1016/0921-4534(95)00780-6

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abstract = "Continuous transitions between a Mott insulator and a correlated metal are studied with the scaling theory. The validity of hyperscaling analysis is examined. As an example of the criticality, two-dimensional 3He systems near the Mott transition observed experimentally are analyzed in favor of the mass singularity in the form m* α δ-1 where δ is the density of 3He measured from the Mott insulator. Several consequences of the scaling theory are derived when the metallic state is described by the Fermi liquid. The breakdown of the Fermi liquid towards the transition point is figured out in this framework.",

author = "Masatoshi Imada",

year = "1996",

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doi = "10.1016/0921-4534(95)00780-6",

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N2 - Continuous transitions between a Mott insulator and a correlated metal are studied with the scaling theory. The validity of hyperscaling analysis is examined. As an example of the criticality, two-dimensional 3He systems near the Mott transition observed experimentally are analyzed in favor of the mass singularity in the form m* α δ-1 where δ is the density of 3He measured from the Mott insulator. Several consequences of the scaling theory are derived when the metallic state is described by the Fermi liquid. The breakdown of the Fermi liquid towards the transition point is figured out in this framework.

AB - Continuous transitions between a Mott insulator and a correlated metal are studied with the scaling theory. The validity of hyperscaling analysis is examined. As an example of the criticality, two-dimensional 3He systems near the Mott transition observed experimentally are analyzed in favor of the mass singularity in the form m* α δ-1 where δ is the density of 3He measured from the Mott insulator. Several consequences of the scaling theory are derived when the metallic state is described by the Fermi liquid. The breakdown of the Fermi liquid towards the transition point is figured out in this framework.

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Fermi liquid phenomenology combined with scaling theory of the metal-insulator transition

Abstract

ASJC Scopus subject areas

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