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

F. F. Assaad, Masatoshi Imada

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Abstract

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.

Original languageEnglish
Pages (from-to)3176-3179
Number of pages4
JournalPhysical Review Letters
Volume76
Issue number17
DOIs
Publication statusPublished - 1996 Apr 22
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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