Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model I.

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  • Yanagisawa Takashi
    Electrotechnical Laboratory, 1–1–4 Umezono, Tsukuba, Ibaraki 305–8568
  • Koike Soh
    Electrotechnical Laboratory, 1–1–4 Umezono, Tsukuba, Ibaraki 305–8568
  • Yamaji Kunihiko
    Electrotechnical Laboratory, 1–1–4 Umezono, Tsukuba, Ibaraki 305–8568

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  • Off-Diagonal Wave Function Monte Carlo Studies of Hubbard Model 1
  • Off-Diagonal Wave Function Monte Carlo

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We propose a Monte Carlo method, which is a hybrid method of the quantumMonte Carlo method and variational Monte Carlo theory, to study the Hubbard model.The theory is based on the off-diagonal and the Gutzwiller type correlation factors which are taken into account by a Monte Carlo algorithm.In the 4×4 system our method is able to reproduce the exact results obtained by the diagonalization. An application is given to investigate the half-filled band case of two-dimensional square lattice.The energy is favorably compared withquantum Monte Carlo data.

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