Insulator-metal transition in the one- and two-dimensional hubbard models

F. F. Assaad, Masatoshi Imada

研究成果: Article

43 引用 (Scopus)

抄録

We use quantum Monte Carlo methods to determine T = 0 Green functions, G(r, ω) on lattices up to 16 × 16 for the 2D Hubbard model at U/T = 4. For chemical potentials μ within the Hubbard gap |μ| < μcand at long distances r, G(r ω = μ) ∼e−|r|/ξl with critical behavior ξl ∼ |μ − μc|−ν ν = 0.026 ±0.05 This result stands in agreement with the assumption of hyperscaling with correlation exponent ν = 1/4 and dynamical exponent z = 4. In contrast, the generic band insulator as well as the metal-insulator transition in the 1D Hubbard model are characterized by ν = 1/2 and z = 2.

元の言語English
ページ(範囲)3176-3179
ページ数4
ジャーナルPhysical Review Letters
76
発行部数17
DOI
出版物ステータスPublished - 1996 4 22
外部発表Yes

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two dimensional models
transition metals
insulators
exponents
Monte Carlo method
Green's functions
metals

ASJC Scopus subject areas

  • Physics and Astronomy(all)

これを引用

Insulator-metal transition in the one- and two-dimensional hubbard models. / Assaad, F. F.; Imada, Masatoshi.

:: Physical Review Letters, 巻 76, 番号 17, 22.04.1996, p. 3176-3179.

研究成果: Article

Assaad, F. F. ; Imada, Masatoshi. / Insulator-metal transition in the one- and two-dimensional hubbard models. :: Physical Review Letters. 1996 ; 巻 76, 番号 17. pp. 3176-3179.
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