Does simple two-dimensional Hubbard model account for high-T c superconductivity in copper oxides?

Takeshi Aimi, Masatoshi Imada

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)


We reexamine whether the essence of high-T c superconductivity is contained in doped Hubbard models on the square lattice by using recently developed pre-projected Gaussian-basis Monte Carlo method. The superconducting correlations of the d x2-y2 wave symmetry in the ground state at distance r decays essentially as r -3. The upper bound of the correlation at long distances estimated by this unbiased method is 10 -3, indicating that recent extensions of dynamical mean-field theories and variational methods yielded at least an order of magnitude overestimates of it. The correlations are too weak for the realistic account of the cuprate high-T c superconductivity.

Original languageEnglish
Article number113708
Journaljournal of the physical society of japan
Issue number11
Publication statusPublished - 2007 Nov 1
Externally publishedYes


  • Cuprate superconductor
  • D -wave superconductivity
  • Doped Hubbard model
  • High-temperature superconductivity
  • Monte Carlo method

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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