Two-Dimensional Hubbard Model —Metal Insulator Transition Studied by Monte Carlo Calculation—

Nobuo Furukawa, Masatoshi Imada

Research output: Contribution to journalArticle

215 Citations (Scopus)

Abstract

The Hubbard model on a square lattice in the ground state is investigated. Various aspects of Mott transition at half-filling are clarified from the quantum Monte Carlo study. Critical exponents of the transition for charge and spin correlations are estimated. For the doping concentration ∂, the charge susceptibility is proportional to ∂ _1 indicating the divergence of charge mass for ∂→0, while the spin susceptibility is always finite and not singular near ∂=0. Several theoretical consequences of the above results are discussed. Incommensurate peak amplitude of spin correlation scales as (∂-∂C)_1 with ∂C<0.01 in disagreement with RPA results In (∂-∂c). The antiferromagnetic order at the half-filling also shows strong correlation character and is not sensitive to the shape of the fermi surface, while the incommensurate peak observed away from the half-filling is sensitively suppressed by the loss of partial nesting consistently with the weak coupling picture. Comparisons with experimental indications of high-Tc oxides are made.

Original languageEnglish
Pages (from-to)3331-3354
Number of pages24
JournalJournal of the Physical Society of Japan
Volume61
Issue number9
DOIs
Publication statusPublished - 1992 Jan 1
Externally publishedYes

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two dimensional models
insulators
metals
magnetic permeability
Fermi surfaces
divergence
indication
exponents
ground state
oxides

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Two-Dimensional Hubbard Model —Metal Insulator Transition Studied by Monte Carlo Calculation—. / Furukawa, Nobuo; Imada, Masatoshi.

In: Journal of the Physical Society of Japan, Vol. 61, No. 9, 01.01.1992, p. 3331-3354.

Research output: Contribution to journalArticle

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